math essay topic

375 Interesting Math Topics for Essays & Research Papers

Mathematics is the science of numbers and shapes. Writing about it can give you a fresh perspective and help to clarify difficult concepts. You can even use mathematical writing as a tool in problem-solving.

In this article, you will find plenty of interesting math topics. Besides, you will learn about branches of mathematics that you can choose from. And if the thought of letters and numbers makes your head swim, try our custom writing service . Our professionals will craft a paper for you in no time!

And now, let’s proceed to math essay topics and tips.

🔝 Top 10 Interesting Math Topics

✅ branches of mathematics, ✨ fun math topics.

• 🏫 Math Topics for High School
• 🎓 College Math Topics
• 🤔 Advanced Math
• 📚 Math Research
• ✏️ Math Education
• 💵 Business Math
• 🔥 Latest Research Topics

❓ Math Research Questions

• 💡 Topics on Math in the Modern World
• 👩‍🏫 Presentation Topics

🤩 Cool Math Topics

🔍 references.

• Number theory in everyday life.
• Logicist definitions of mathematics.
• Multivariable vs. vector calculus.
• 4 conditions of functional analysis.
• Random variable in probability theory.
• How is math used in cryptography?
• The purpose of homological algebra.
• Concave vs. convex in geometry.
• The philosophical problem of foundations.
• Is numerical analysis useful for machine learning?

What exactly is mathematics ? First and foremost, it is very old. Ancient Greeks and Persians were already utilizing mathematical tools. Nowadays, we consider it an interdisciplinary language.

Biologists, linguists, and sociologists alike use math in their work. And not only that, we all deal with it in our daily lives. For instance, it manifests in the measurement of time. We often need it to calculate how much our groceries cost and how much paint we need to buy to cover a wall.

Simply put, mathematics is a universal instrument for problem-solving. We can divide pure math into three branches: geometry, arithmetic, and algebra. Let’s take a closer look:

• Geometry By studying geometry, we try to comprehend our physical surroundings. Geometric shapes can be simple, like a triangle. Or, they can form complicated figures, like a rhombicosidodecahedron.
• Arithmetic Arithmetic deals with numbers and simple operations: subtraction, addition, division, and multiplication.
• Algebra Algebra is used when the exact numbers are unclear. Instead, they are replaced with letters. Businesses often need algebra to predict their sales.

It’s true that most high school students don’t like math. However, that doesn’t mean it can’t be a fun and compelling subject. In the following section, you will find plenty of enthralling mathematical topics for your paper.

If you’re struggling to start working on your essay, we have some fun and cool math topics to offer. They will definitely engage you and make the writing process enjoyable. Besides, fun math topics can show everyone that even math can be entertaining or even a bit silly.

• The link between mathematics and art – analyzing the Golden Ratio in Renaissance-era paintings.
• An evaluation of Georg Cantor’s set theory.
• The best approaches to learning math facts and developing number sense.
• Different approaches to probability as explored through analyzing card tricks.
• Chess and checkers – the use of mathematics in recreational activities.
• The five types of math used in computer science.
• Real-life applications of the Pythagorean Theorem.
• A study of the different theories of mathematical logic.
• The use of game theory in social science.
• Mathematical definitions of infinity and how to measure it.
• What is the logic behind unsolvable math problems?
• An explanation of mean, mode, and median using classroom math grades.
• The properties and geometry of a Möbius strip.
• Using truth tables to present the logical validity of a propositional expression.
• The relationship between Pascal’s Triangle and The Binomial Theorem.
• The use of different number types: the history.
• The application of differential geometry in modern architecture.
• A mathematical approach to the solution of a Rubik’s Cube.
• Comparison of predictive and prescriptive statistical analyses.
• Explaining the iterations of the Koch snowflake.
• The importance of limits in calculus.
• Hexagons as the most balanced shape in the universe.
• The emergence of patterns in chaos theory.
• What were Euclid’s contributions to the field of mathematics?
• The difference between universal algebra and abstract algebra.

🏫 Math Essay Topics for High School

When writing a math paper, you want to demonstrate that you understand a concept. It can be helpful if you need to prepare for an exam. Choose a topic from this section and decide what you want to discuss.

• Explain what we need Pythagoras’ theorem for.
• What is a hyperbola?
• Describe the difference between algebra and arithmetic.
• When is it unnecessary to use a calculator ?
• Find a connection between math and the arts.
• How do you solve a linear equation?
• Discuss how to determine the probability of rolling two dice.
• Is there a link between philosophy and math?
• What types of math do you use in your everyday life?
• What is the numerical data?
• Explain how to use the binomial theorem.
• What is the distributive property of multiplication?
• Discuss the major concepts in ancient Egyptian mathematics.
• Why do so many students dislike math?
• Should math be required in school?
• How do you do an equivalent transformation?
• Why do we need imaginary numbers?
• How can you calculate the slope of a curve?
• What is the difference between sine, cosine, and tangent?
• How do you define the cross product of two vectors?
• What do we use differential equations for?
• Investigate how to calculate the mean value.
• Define linear growth.
• Give examples of different number types.
• How can you solve a matrix?

🎓 College Math Topics for a Paper

Sometimes you need more than just formulas to explain a complex idea. That’s why knowing how to express yourself is crucial. It is especially true for college-level mathematics. Consider the following ideas for your next research project:

• What do we need n-dimensional spaces for?
• Explain how card counting works.
• Discuss the difference between a discrete and a continuous probability distribution.
• How does encryption work?
• Describe extremal problems in discrete geometry.
• What can make a math problem unsolvable?
• Examine the topology of a Möbius strip.

• What is K-theory?
• Discuss the core problems of computational geometry.
• Explain the use of set theory .
• What do we need Boolean functions for?
• Describe the main topological concepts in modern mathematics.
• Investigate the properties of a rotation matrix.
• Analyze the practical applications of game theory.
• How can you solve a Rubik’s cube mathematically?
• Explain the math behind the Koch snowflake.
• Describe the paradox of Gabriel’s Horn.
• How do fractals form?
• Find a way to solve Sudoku using math.
• Why is the Riemann hypothesis still unsolved?
• Discuss the Millennium Prize Problems.
• How can you divide complex numbers?
• Analyze the degrees in polynomial functions.
• What are the most important concepts in number theory?
• Compare the different types of statistical methods.

🤔 Advanced Topics in Math to Write a Paper on

Once you have passed the trials of basic math, you can move on to the advanced section. This area includes topology, combinatorics, logic, and computational mathematics. Check out the list below for enticing topics to write about:

• What is an abelian group?
• Explain the orbit-stabilizer theorem.
• Discuss what makes the Burnside problem influential.
• What fundamental properties do holomorphic functions have?
• How does Cauchy’s integral theorem lead to Cauchy’s integral formula?
• How do the two Picard theorems relate to each other?
• When is a trigonometric series called a Fourier series?
• Give an example of an algorithm used for machine learning.
• Compare the different types of knapsack problems.
• What is the minimum overlap problem?
• Describe the Bernoulli scheme.
• Give a formal definition of the Chinese restaurant process.
• Discuss the logistic map in relation to chaos.
• What do we need the Feigenbaum constants for?
• Define a difference equation.
• Explain the uses of the Fibonacci sequence.
• What is an oblivious transfer?
• Compare the Riemann and the Ruelle zeta functions.
• How can you use elementary embeddings in model theory?
• Analyze the problem with the wholeness axiom and Kunen’s inconsistency theorem.
• How is Lie algebra used in physics ?
• Define various cases of algebraic cycles.
• Why do we need étale cohomology groups to calculate algebraic curves?
• What does non-Euclidean geometry consist of?
• How can two lines be ultraparallel?

📚 Math Research Topics for a Paper

Choosing the right topic is crucial for a successful research paper in math. It should be hard enough to be compelling, but not exceeding your level of competence. If possible, stick to your area of knowledge. This way your task will become more manageable. Here are some ideas:

• Write about the history of calculus.
• Why are unsolved math problems significant?
• Find reasons for the gender gap in math students.
• What are the toughest mathematical questions asked today?
• Examine the notion of operator spaces.
• How can we design a train schedule for a whole country?
• What makes a number big?

• How can infinities have various sizes?
• What is the best mathematical strategy to win a game of Go?
• Analyze natural occurrences of random walks in biology.
• Explain what kind of mathematics was used in ancient Persia.
• Discuss how the Iwasawa theory relates to modular forms.
• What role do prime numbers play in encryption?
• How did the study of mathematics evolve?
• Investigate the different Tower of Hanoi solutions.
• Research Napier’s bones. How can you use them?
• What is the best mathematical way to find someone who is lost in a maze?
• Examine the Traveling Salesman Problem. Can you find a new strategy?
• Describe how barcodes function.
• Study some real-life examples of chaos theory. How do you define them mathematically?
• Compare the impact of various ground-breaking mathematical equations .
• Research the Seven Bridges of Königsberg. Relate the problem to the city of your choice.
• Discuss Fisher’s fundamental theorem of natural selection.
• How does quantum computing work?
• Pick an unsolved math problem and say what makes it so difficult.

✏️ Math Education Research Topics

For many teachers, the hardest part is to keep the students interested. When it comes to math, it can be especially challenging. It’s crucial to make complicated concepts easy to understand. That’s why we need research on math education.

• Compare traditional methods of teaching math with unconventional ones.
• How can you improve mathematical education in the U.S.?
• Describe ways of encouraging girls to pursue careers in STEM fields.
• Should computer programming be taught in high school?
• Define the goals of mathematics education .
• Research how to make math more accessible to students with learning disabilities.
• At what age should children begin to practice simple equations?
• Investigate the effectiveness of gamification in algebra classes.
• What do students gain from taking part in mathematics competitions?
• What are the benefits of moving away from standardized testing ?
• Describe the causes of “ math anxiety .” How can you overcome it?
• Explain the social and political relevance of mathematics education.
• Define the most significant issues in public school math teaching.
• What is the best way to get children interested in geometry?
• How can students hone their mathematical thinking outside the classroom?
• Discuss the benefits of using technology in math class.
• In what way does culture influence your mathematical education?
• Explore the history of teaching algebra.
• Compare math education in various countries.

• How does dyscalculia affect a student’s daily life?
• Into which school subjects can math be integrated?
• Has a mathematics degree increased in value over the last few years?
• What are the disadvantages of the Common Core Standards?
• What are the advantages of following an integrated curriculum in math?
• Discuss the benefits of Mathcamp.

🧮 Algebra Topics for a Paper

The elegance of algebra stems from its simplicity. It gives us the ability to express complex problems in short equations. The world was changed forever when Einstein wrote down the simple formula E=mc². Now, if your algebra seminar requires you to write a paper, look no further! Here are some brilliant prompts:

• Give an example of an induction proof.
• What are F-algebras used for?
• What are number problems?
• Show the importance of abstract algebraic thinking.
• Investigate the peculiarities of Fermat’s last theorem.
• What are the essentials of Boolean algebra?
• Explore the relationship between algebra and geometry.
• Compare the differences between commutative and noncommutative algebra.
• Why is Brun’s constant relevant?
• How do you factor quadratics?
• Explain Descartes’ Rule of Signs.
• What is the quadratic formula?
• Compare the four types of sequences and define them.
• Explain how partial fractions work.
• What are logarithms used for?
• Describe the Gaussian elimination.
• What does Cramer’s rule state?
• Explore the difference between eigenvectors and eigenvalues.
• Analyze the Gram-Schmidt process in two dimensions.
• Explain what is meant by “range” and “domain” in algebra.
• What can you do with determinants?
• Learn about the origin of the distance formula.
• Find the best way to solve math word problems.
• Compare the relationships between different systems of equations.
• Explore how the Rubik’s cube relates to group theory.

📏 Geometry Topics for a Research Paper

Shapes and space are the two staples of geometry. Since its appearance in ancient times, it has evolved into a major field of study. Geometry’s most recent addition, topology, explores what happens to an object if you stretch, shrink, and fold it. Things can get pretty crazy from here! The following list contains 25 interesting geometry topics:

• What are the Archimedean solids?
• Find real-life uses for a rhombicosidodecahedron.
• What is studied in projective geometry?
• Compare the most common types of transformations.
• Explain how acute square triangulation works.
• Discuss the Borromean ring configuration.
• Investigate the solutions to Buffon’s needle problem.
• What is unique about right triangles?

• Describe the notion of Dirac manifolds.
• Compare the various relationships between lines.
• What is the Klein bottle?
• How does geometry translate into other disciplines, such as chemistry and physics?
• Explore Riemannian manifolds in Euclidean space.
• How can you prove the angle bisector theorem?
• Do a research on M.C. Escher’s use of geometry.
• Find applications for the golden ratio .
• Describe the importance of circles.
• Investigate what the ancient Greeks knew about geometry.
• What does congruency mean?
• Study the uses of Euler’s formula.
• How do CT scans relate to geometry?
• Why do we need n-dimensional vectors?
• How can you solve Heesch’s problem?
• What are hypercubes?
• Analyze the use of geometry in Picasso’s paintings.

➗ Calculus Topics to Write a Paper on

You can describe calculus as a more complicated algebra. It’s a study of change over time that provides useful insights into everyday problems. Applied calculus is required in a variety of fields such as sociology, engineering, or business. Consult this list of compelling topics on a calculus paper:

• What are the differences between trigonometry, algebra, and calculus?
• Explain the concept of limits.
• Describe the standard formulas needed for derivatives.
• How can you find critical points in a graph?
• Evaluate the application of L’Hôpital’s rule.
• How do you define the area between curves?
• What is the foundation of calculus?

• How does multivariate calculus work?
• Discuss the use of Stokes’ theorem.
• What does Leibniz’s integral rule state?
• What is the Itô stochastic integral?
• Explore the influence of nonstandard analysis on probability theory.
• Research the origins of calculus.
• Who was Maria Gaetana Agnesi?
• Define a continuous function.
• What is the fundamental theorem of calculus?
• How do you calculate the Taylor series of a function?
• Discuss the ways to resolve Runge’s phenomenon.
• Explain the extreme value theorem.
• What do we need predicate calculus for?
• What are linear approximations?
• When does an integral become improper?
• Describe the Ratio and Root Tests.
• How does the method of rings work?
• Where do we apply calculus in real-life situations?

💵 Business Math Topics to Write About

You don’t have to own a company to appreciate business math. Its topics range from credits and loans to insurance, taxes, and investment. Even if you’re not a mathematician, you can use it to handle your finances. Sounds interesting? Then have a look at the following list:

• What are the essential skills needed for business math?
• How do you calculate interest rates?
• Compare business and consumer math.
• What is a discount factor?
• How do you know that an investment is reasonable?
• When does it make sense to pay a loan with another loan?
• Find useful financing techniques that everyone can use.
• How does critical path analysis work?
• Explain how loans work.
• Which areas of work utilize operations research?
• How do businesses use statistics?
• What is the economic lot scheduling problem?
• Compare the uses of different chart types.
• What causes a stock market crash?
• How can you calculate the net present value?
• Explore the history of revenue management.
• When do you use multi-period models?
• Explain the consequences of depreciation.
• Are annuities a good investment?
• Would the U.S. financially benefit from discontinuing the penny?
• What caused the United States housing crash in 2008?
• How do you calculate sales tax?
• Describe the notions of markups and markdowns.
• Investigate the math behind debt amortization.
• What is the difference between a loan and a mortgage?

🔥 Latest Mathematics Research Topics

Mathematics does not stand still — it is a dynamic science where scholars regularly make discoveries. We have prepared some math research topics for you to learn more about recent breakthroughs in this field:

• The use of fractal geometry in computer graphics.
• Functional analysis and its key theorems.
• The development of differential geometry and topology.
• Riemannian geometry and its application in computer science.
• What are the limits of step-stress modeling?
• Explore the formation of patterns in chaos theory.
• The distinction between a discrete and a continuous probability distribution.
• Optimization algorithms and their role in supply chain management.
• How can number theory be applied in cryptography?
• The impact of fluid dynamics on weather forecasting.
• What is the role of set theory in formalizing mathematical structures?
• Investigate the purpose of homological algebra.
• Quantum statistical mechanics and their peculiarities.
• The characterization of parametric surface sections.
• What are the main limits of mathematical analysis?
• Explore the application of Fourier analysis in signal processing.
• Quantum computing and its potential for mathematical problem-solving.
• The utilization of graph theory in social network analysis.
• The key topological concepts in modern mathematics.
• How are iterated function systems used in Python?
• Examine the ways to resolve the phenomenon of Runge.
• Game theory and its application in social science.
• The use of statistical mechanics principles in molecular dynamics simulations.

An effective research question can help you shape the research objectives and formulate your hypotheses. Check out the list below to understand better how to make a compelling math research question:

• What new math frameworks are needed for the modern financial landscape?
• How can efficient algorithms improve scientific simulations?
• Can AI be integrated into numerical analysis tools?
• What key math properties matter most in voting systems?
• How are the concepts of geometric group theory applicable to social network analysis?
• What is the significance of the number “e” in mathematics?
• How can functional analysis be used to study infinite-dimensional spaces?
• What are the ethical considerations for using advanced math models?
• How effective are algebraic geometry techniques in solving coding theory issues?
• How can the history of mathematics inspire future generations of mathematicians?
• What is the role of representation theory in the study of objects with symmetry?
• How does spatial resolution impact the accuracy of meteorological models?
• What is the role of combinatorics in the development of computer science?
• How can we use abstract algebra to solve real-world problems in other fields?
• What are the current challenges and advancements in classifying knots?
• How can coding theory be used to design efficient communication systems?
• What are the ongoing debates on the foundations of mathematics?
• What are the limitations and potential extensions of Fourier analysis?
• How can advancements in formal logic contribute to the development of AI?
• What are the main peculiarities of Borel’s paradox?
• How has the Gini coefficient evolved globally over the past few decades?
• What is the key research goal of topology?
• How can mathematic models improve risk assessment and financial predictions?

💡 Ideas for a Research Title about Mathematics in the Modern World

As the foundation of many disciplines and industries, math influences almost every aspect of our lives. It allows us to solve complex problems, make forecasts, and create new technologies. Below, you can find some more math research topics that can come in handy:

• Financial mathematics and its efficiency in risk assessment.
• The societal impact of mathematical modeling.
• Portfolio optimization with the help of linear algebra.
• Utilizing number theory in cybersecurity.
• The use of whale optimization algorithm for heart disease prediction.
• Probability theory and its effectiveness in assessing the likelihood of events.
• Applying machine learning in personalized medicine and healthcare.
• The use of math in game design and development.
• How can math be used in sports analytics and performance optimization?
• The use of computer simulations for visualizing future climate scenarios.
• Coal and gas protrusion risk evaluation with the help of cloud model.
• Investigate the applications of graph theory in social networks and web science.
• The use of machine learning algorithms for robot control.
• Matrix factorization and its benefits in personalizing music recommendations.
• Employing geometry in space exploration and navigation.
• The role of math in medical imaging and diagnosis.
• Explore the use of geometry in optimizing product functionality.
• Is linear programming effective in traffic light synchronization?
• Utilizing calculus in sensor data interpretation.
• Geometric transformations and their use in creating realistic 3D animation.
• The power of mathematics in medical imaging and drug discovery.
• How can complex mathematical models help understand environmental systems?
• Optimization techniques and their use for effective resource allocation.

👩‍🏫 Maths Topics for Presentation

Looking for interesting presentation topics on mathematics? Check the ones we have prepared for you:

• What is a parabola in geometry?
• Top inaccuracies in numerical calculation.
• When should we use the chain rule?
• Markov chain: definition and its representation.
• The Law of Sines and its applications.
• An introduction to the polar coordinates system.
• How can we use vectors to describe the structure of crystals?
• What is a Hessian matrix?
• Cramer’s rule: how does it work?
• Explaining derivatives of inverse functions.
• The key functions of several variables.
• What is consistency proof in math?
• Compare and contrast epimorphisms and monomorphisms.
• The possible solutions to a problem in population dynamics.
• What is linear recurrence theory?
• “Page rank”: the history of the most famous algorithm.
• The properties of power series.
• What is a magic square?
• Infinite-dimensional vector spaces and their peculiarities.
• The quantum field theory: detailed explanation.
• Dual and double-dual vector spaces and their usage.
• Right-angled triangle: definition, properties, and formulas.
• Explaining Green’s theorem.

Many people mistakenly believe that mathematics is a boring science consisting of only numbers and formulas. But in fact, it is not always like that, and we are going to prove it! Check out interesting math topics listed below:

• The beautiful math of coral.
• Examples of math in music.
• How do algorithms shape our world?
• The mathematical secrets of Pascal’s triangle.
• How does math guide our ships at sea?
• The greatest mathematician that ever lived.
• Why can’t you divide by zero?
• The math behind the movies.
• How can math help you cook?
• The use of geometric methods for optimizing travel routes.
• Investigate the mysteries of a never-ending number.
• The mathematics of sidewalk illusions.
• How many ways to arrange a deck of cards are there?
• How is math used in video games?
• Why should fashion designers know math?
• Basic mathematical operations in exercising and training.
• Explore how algebra can be used in home decorating.
• Where do math symbols come from?
• The math behind Michael Jordan’s legendary hang time.
• How can mathematics help understand loans?
• The magic of Vedic Math.
• Mathematics of climate change.
• How can math help you become a perfect driver?

With all these ideas, you are perfectly equipped for your next math paper. Good luck!

• What Is Calculus?: Southern State Community College
• What Is Mathematics?: Tennessee Tech University
• What Is Geometry?: University of Waterloo
• What Is Algebra?: BBC
• Practical Algebra Lessons: Purplemath
• Topics in Geometry: Massachusetts Institute of Technology
• The Geometry Junkyard: All Topics: Donald Bren School of Information and Computer Sciences
• Calculus I: Lamar University
• Business Math for Financial Management: The Balance Small Business
• What Is Mathematics: Life Science
• What Is Mathematics Education?: University of California, Berkeley
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Top 100 Math Essay Topics for Students

Sep 2, 2021 | 0 comments

Sep 2, 2021 | Topics | 0 comments

Math is a science that deals with the logic of numbers, quantities, arrangements, and shapes. Although math doesn’t deal much with words, students in high schools and colleges are sometimes required to write essays. Students often wonder why they have to write math essays. Still, essentially this allows them an opportunity to discover how mathematics intersects into their lives and others around us. Many people struggle coming up with topics which is why we want to help you find your inspiration! As you scroll down, you will find some interesting math essay topics . These ideas are not only engaging but illuminating too! We took our time to gather the best possible essays for students so that they don’t end up in a stressful situation at school. Topics from popular and unpopular mathematics are also included below-you can be confident of your success if you choose one here!

Table of Contents

Top Math Essay Topics

• How game developers apply the knowledge of Math
• Are Asians More Proficient in Math Than the Rest of the World?
• My Experience As a Student of Math
• Why the society can’t exist without the knowledge of Math
• Math and everyday life
• The Math in Volleyball
• History of Math Education in The World
• Math And The Past Years
• School Of Math And Science
• How To Build Math Skills
• Teaching Math Beyond Everyday Math
• Is Classroom Enough For Learning Math?
• Beyond Pythagoras Math Investigation
• The best way to approach a math problem
• Japan vs. The United States in Math and Science
• How to become proficient in Math
• My Job As A Math Teacher
• Math Problems For Extra Credit
• The importance of geometry to the physical world
• Math And Technology Applications
• Math And Verbal Sections
• The importance of math in the construction industry
• Do I Have A Math Phobia?
• The math in nature
• Why Should Schools Require Math?
• Trigonometry in Daily Life
• Math Hidden Faces Investigation
• Impressions Of An Average Student About Math
• The Dynamics Of Math
• Maths Is Everywhere
• Solving Math Solutions Manuals
• Do Americans Really Stink At Math?
• What the World Would Look Like Without Math
• Graduation Speech: Math And Technology
• Advanced Math Solutions
• Is math really a science?
• The Common Causes of Math Anxiety
• Is There a Relation Between Music and Math?
• Can Math alter the brain map of students?
• Egyptian Math
• How to Overcome the Common Problems Students Face in Maths
• Encouraging Girls in Math and Science
• What Is Math Learning Disability?
• Teaching Math: A College Teacher
• Math Is All Around Us
• How to overcome your fear of Math
• The Role of the Proof in Math
• Can Expressive Writing Improve the Performance of Students in Math Test
• The math in basketball
• Math is the Universal Language
• My Experience With Learning Math
• Ways Of Imparting Math Skills
• Engagement in Math in Second Graders
• Math Solutions
• Pythagora’s Contributions to Math
• How the FBI Uses Math
• Math Coursework
• Qualities That Make a Math Teacher Great
• Math in Special Education
• Elementary School Math Lesson Plan
• Math Problems That Don’t Seems to Have Solutions
• How the knowledge of Maths has changed the world
• The New Math of Gambling
• My Experience With Math Class
• The World Of Science And Math
• Math Intervention for State Exams
• How math applies to our daily lives
• Behavior Of The Logistic Equation
• New Technologies That Assist Students With Math Problems
• Statistics On Math
• Math in Medieval Times
• Mathematical Analysis
• Coming From A Math Background
• Gender Equity in Math
• Vertex-Edge Graphs Tutoring
• Mathematical principles that everyone applies unconsciously
• The History of Mathematics in Europe
• Math, Architecture, And Games
• Why Is Math Important for Success?
• The Role of Recreational Math
• What Students Can Do About Math Anxiety
• Who should learn math?
• Math And Owning A Restaraunt
• Math Is A Problem Solving Attitude
• Use of Math in Auto Racing
• How Math Is Raising Our Standard Of Living Every Day
• The Issue of Bad Math
• The Impact Of Music On Math Performance
• The Relationship Between Psychology and Math
• Asian Student‘s Math Test
• The solution of the Cubic Equation

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Everything begins with an idea!

Math Essay Topics

Math is a science that deals with the logic of numbers, quantities, arrangements, and shapes. Although math doesn’t deal much with words, students in high schools and colleges are sometimes required to write essays on it. Students often wonder why they have to write math essays. Basically, math essays allow students to discover the importance of math and how it relates to life. We noticed that a lot of students find it difficult to come up with math essay topics, which is why we want to help them. As you scroll down, you will find some interesting math essay topics. The topics that you find here are not only interesting but also enlightening. We took our time to gather only the best math essay ideas to save students from the stress. All the topics below are easy enough for students, so you will easily know what to write about them. You will find both popular and unpopular math ideas as you go through the list of topics. You can be confident about your essay success if you select your essay topic here.

Top Math Essay Topics

• How the FBI Uses Math
• Asian Student ‘s Math Test
• Math And The Past Years
• My Experience With Math Class
• Advanced Math Solutions
• Do I Have A Math Phobia?
• Math in Medieval Times
• Maths Is Everywhere
• Math in Special Education
• Coming From A Math Background
• Egyptian Math
• What Is Math Learning Disability?
• History of Math Education in The World
• Gender Equity in Math
• Math And Owning A Restaraunt
• Math Is All Around Us
• How to Overcome the Common Problems Students Face in Maths
• My Job As A Math Teacher
• My Experience As a Student of Math
• Pythagora’s Contributions to Math
• Solving Math Solutions Manuals
• The solution of the Cubic Equation
• How To Build Math Skills
• Impressions Of An Average Student About Math
• The Impact Of Music On Math Performance
• Teaching Math Beyond Everyday Math
• Statistics On Math
• Can Expressive Writing Improve the Performance of Students in Math Test
• The Common Causes of Math Anxiety
• Teaching Math: A College Teacher
• Math And Verbal Sections
• Graduation Speech: Math And Technology
• Math Coursework
• The Issue of Bad Math
• The Math in Volleyball
• Math Problems That Don’t Seems to Have Solutions
• How the knowledge of Math has changed the world
• The math in nature
• Encouraging Girls in Math and Science
• The History of Mathematics in Europe
• The math in basketball
• Elementary School Math Lesson Plan
• Are Asians More Proficient in Math Than the Rest of the World?
• Beyond Pythagoras Math Investigation
• Engagement in Math in Second Graders
• The importance of math in the construction industry
• Math is the Universal Language
• Math Solutions
• Trigonometry in Daily Life
• How game developers apply the knowledge of Math
• Who should learn math?
• The New Math of Gambling
• Do Americans Really Stink At Math?
• Why Should Schools Require Math?
• Qualities That Make a Math Teacher Great
• Vertex-Edge Graphs Tutoring
• Ways Of Imparting Math Skills
• The Relationship Between Psychology and Math
• The World Of Science And Math
• The Role of the Proof in Math
• The Dynamics Of Math
• School Of Math And Science
• Math And Technology Applications
• Is Classroom Enough For Learning Math?
• The Role of Recreational Math
• Math Problems For Extra Credit
• Math, Architecture, And Games
• Math Is A Problem Solving Attitude
• The importance of geometry to the physical world
• My Experience With Learning Math
• Use of Math in Auto Racing
• Japan vs. The United States in Math and Science
• Behavior Of The Logistic Equation
• Math Intervention for State Exams
• Math Hidden Faces Investigation
• How math applies to our daily lives
• Is math really a science?
• The best way to approach a math problem
• How to overcome your fear of Math
• What the World Would Look Like Without Math
• How Math Is Raising Our Standard Of Living Every Day
• Why Is Math Important for Success?
• What Students Can Do About Math Anxiety
• New Technologies That Assist Students With Math Problems
• Is There a Relation Between Music and Math?
• Mathematical Analysis
• Can Math alter the brain map of students?
• How to become proficient in Math
• Why the society can’t exist without the knowledge of Math
• Mathematical principles that everyone applies unconsciously
• Math and everyday life

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Math Essay Examples and Topics

The importance of geometry in our daily life.

• Words: 1414

Statistics Abuse: How, Why, and When

• Words: 2836

Leonardo Da Vinci and His Contribution to the Development of Mathematics

• Words: 1413

Mathematics: Discovered or Created?

Parabolas and their application in the real life, mathematical analysis of the pyramid of the louvre.

• Words: 1523

History of Algebra Brief Overview

Debate on mathematics: an art or a science.

• Words: 2719

Correlation

• Words: 1036

Pythagorean Theorem: History, Formula, and Proof

• Words: 1524

Measurements’ Standarts

The life and works of archimedes.

• Words: 2513

Statistics: Chi-Square Test and Regression Analysis

• Words: 1989

Sofia Kovalevskaya’s Contributions to Math

Spatial modeling: types, pros and cons, order of operations: connecting to real life, pizza box optimization: packaging problem.

• Words: 1867

History of Calculus: Brief Review One of the Branches of Mathematics

• Words: 1169

Arthur Cayley: Life, Career, and Achievements

Pythagoras theories.

• Words: 1918

Fibonacci Sequence and Related Mathematical Concepts

• Words: 2144

Leonardo Pisano Fibonacci’s Life and Contributions

Exponential and logarithmic functions, the use of mathematics in advertisements, calculus-integration.

• Words: 1074

Implicit Differentiation in the Business Sector

Optimizing the cross-section of a gutter, mathematical and statistical investigation.

• Words: 1798

Fundamental Theorem of Calculus in Modern World

Algebra in the real world and everyday life, bouncing ball as an example of a conic section, oblique triangles in everyday life, the use of polynomials in the real world, slope desciption and necessity, linear equations comprehensive study, practical usages of scientific notation, history of pythagoras theorem.

• Words: 1370

Fourier Transform: The Behavior of the Image in the Frequency Domain

• Words: 2889

Roller Coasters: Mathematical Simulation

Quantitative approach to research, reflection on statistics learning goals, math assignment: graph visualization, national museum of math, qualitative research design and methods, problem solving process in mathematics, t-test discussion, the value of mathematics in antonsen’s ted talk, probability theory: descriptive statistics, applications of algebraic functions in an environmental agency, prime numbers role in people’s life, p-value definition and role, statistically significant but not meaningful, evaluating the effectiveness of an instructional design.

• Words: 1210

A Real-World Linear Regression Model

• Words: 1400

Math Functions in Economics

• Words: 2443

Historical Data Analysis: Various Variables Trends

• Words: 2828

Hamilton-Jacobi-Bellman Equation and Linear Pearson Coefficient

Rational functions and their real-world applications, carl friedrich gauss: mathematician and innovator, charting a career in mathematics: from teaching to actuarial practice.

• Words: 1057

Navigating the Math Maze: A Strategic Policy Framework

• Words: 1226

Deduction in Ancient Greece and Egypt

Aspects of the mathematics problem solving.

• Words: 1154

The Life Accomplishments of John von Neumann

Report: tow tank statistical analysis.

• Words: 1409

Determining the Area of the Isosceles Triangles

Mathematical operations with positive and negative numbers.

• Words: 1460

Construction of Regular Polygons: Octagon

The genesis of mathematics storytelling: god’s own, mathematical explorations: quantitative reasoning, multiple linear regression critique, importance of math during trip from us to japan, mathematics: problem-solving tasks, the spicp-ms approach: paraphrasing, using mathematics in trading metrics, math: a differential calculus lesson analysis, the formal mathematical language and its importance, using the weibull distribution to study failure intensity, the perfect square trinomial and the sum of cubes, why casino always wins: a mathematician’s view, finding a hypotenuse of an ipad pro tablet, functional mathematics implementation, the central limit theorem and its applications, the pythagorean theorem and its origin, math: aspects of hiv modeling.

• Words: 1107

Researching of Advanced Forecasting Methods

Chapter 5 of weapons of math destruction by o’neil, the concept of coterminal angles, the exponential function in analytic algebra, sophie germain’s story of a woman mathematician, compound interest as mathematical fact.

• Words: 3827

Math: Compound Interest as a Future Problem

Mathematician john wilder tukey’s biography, dangers of false representation in mathematics.

• Words: 1438

Thinking in Terms of Vectors in Daily Life

Physiologically-structured population models and their ordinary differential equations reduction, mathematical biology: explaining population extinction, statistical and stochastic modeling applied to social processes.

• Words: 1666

A-Level Math AQA : Specification

• Words: 4304

Teaching Math: Number Sense Instruction

• Words: 1191

“IS-LM MODEL” by Dudley Cooke

Mathematical laws in the real world.

• Words: 1146

Mathematics: An Art or a Science

• Words: 1864

Number Theory and Major Contributors to the Field

• Words: 1136

Geometry Web Quest for Soccer, Baseball, Basketball, Bowling, Golf, Volleyball and Pool

Mathematical and physical concepts, algebraic equations and graphical representations, mathematical knowledge power and benefits for adults.

• Words: 1100

The Concept of the Derivative of a Function

• Words: 2257

Systems of Linear Equations – Cramer’s Rule

Estimating single population parameters, sergei natanovich bernstein: a prominent mathematician.

• Words: 1198

Real-World Applications of Mathematics

Algebra: y-intercept and x-intercept, stability of structures: analysis of a frame, the importance of proof in the mathematics discipline, math: factoring using the p-1 method, purchasing school supplies for a classroom.

• Words: 1165

Sir Isaac Newton Mathematical Theory

• Words: 1051

George Boole as a Prominent Mathematician

Mathematics Extended Essay Topics for IB

Table of contents

• Writing Metier

Ever felt the exhilaration that comes with cracking a complex math problem? That’s the sheer beauty of mathematics – it’s a world where numbers dance, patterns emerge, and solutions await the keen observer. Felt that? Hah?

Now, imagine channeling that same enthusiasm and zest into your Math Extended essay. It might sound like a challenge, but isn’t that what we thrive on? With the right Math EE topic, you can showcase your mathematical prowess and leave an indelible mark on your IB evaluators following the general criteria. 

To help you with that, I’ve curated a list of Math extended essay ideas that span the spectrum from the accessible to the intricate. 

So, let’s begin.

IB Math extended essay ideas

These aren’t just topics; they’re gateways to exploration, understanding, and innovation. 

Ready to get started?

Easy-to-approach topics

For those looking for a gentler introduction to the Math Extended essay, below is a list of 10 engaging and manageable IB Math EE topic ideas, each with a research question and a brief description on how to approach it:

Patterns in Pascal’s Triangle

Research Question: 

How do patterns emerge in Pascal’s Triangle?

Description: 

Begin with the construction of Pascal’s Triangle, then delve into the exploration of its patterns, such as triangular numbers and the Fibonacci sequence.

Mathematics of Voting Systems

How do different voting systems weigh individual votes mathematically?

Introduce various voting systems, then analyze the mathematical principles behind each, discussing fairness and potential biases.

Geometry in Art

Research Question:  

How is geometry used to create visual appeal in art?

Explore various art pieces, highlighting the geometric principles employed, and discuss their impact on aesthetics.

The Math Behind Baking

How do ratios in baking recipes affect the final product?

Investigate the importance of maintaining specific ratios in baking recipes and experiment with variations to observe changes in outcomes.

Probability in Card Games

How does understanding probability enhance success in card games like Poker?

Delve into the rules of Poker and then analyze various hands and scenarios using probability principles.

Symmetry in Nature

How is symmetry exhibited in natural formations?

Explore the concept of symmetry mathematically and then identify and analyze its presence in various natural formations like leaves, flowers, and animals.

Mathematics of Music

How do mathematical patterns influence musical scales and rhythms?

Investigate the structure of musical scales, rhythms, and time signatures, highlighting the underlying mathematical patterns.

Simple Interest vs. Compound Interest

How do simple and compound interest methods impact savings over time?

Define both interest methods and then use mathematical modeling to compare their effects on savings over various periods.

The Golden Ratio in Architecture

How is the Golden Ratio applied in iconic architectural designs?

Introduce the concept of the Golden Ratio and then analyze its application in various famous architectural structures.

Mathematics of Juggling

How do mathematical patterns and sequences dictate juggling techniques?

Explore basic juggling techniques and patterns, analyzing the mathematical sequences that jugglers use to maintain rhythm and control.

Each of these topic ideas and RQs is approachable yet offers ample scope for exploration and analysis within the realm of mathematics.

Intermediate topics

For those seeking a bit more challenge without diving into the deep end, the topics below offer a balanced blend of complexity and accessibility.

Here’s a list of 10 average-difficulty IB Math Extended essay topics, each with a research question and a brief description of how to approach it:

Game Theory in Economics

How does game theory provide insights into competitive market behaviors?

Introduce game theory principles and use business world case studies to show strategic decision-making influenced by game theory.

Fractals and Nature

How do fractal patterns manifest in natural phenomena?

Description:  

Delve into the mathematical concept of fractals and explore their appearance in various natural settings, such as coastlines, mountains, and plants.

Mathematics of Population Growth Models

How do mathematical models accurately predict population growth in urban areas?

Introduce population growth models and use real urban area data to validate these models, discussing influencing factors.

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Cryptography and Internet Security

How do modern cryptographic techniques ensure data security on the internet?

Explore the evolution of cryptography, focusing on modern techniques, and discuss their role in ensuring data security in online transactions.

Mathematical Modeling of Epidemics

How can mathematical models predict the spread of infectious diseases?

Introduce basic epidemiological models and analyze their effectiveness in predicting disease spread using real-world data.

Topology and Coffee Cups

How does topology explain the mathematical similarity between a coffee cup and a donut?

Dive into the basics of topology and use it to explain the often-cited comparison between coffee cups and donuts, emphasizing the concept of homeomorphism.

Chaos Theory and Weather Forecasting

How does chaos theory impact the accuracy of long-term weather forecasts?

Introduce chaos theory, then delve into its application in meteorology, discussing the challenges and limitations in predicting weather.

Mathematics Behind Neural Networks

How do mathematical algorithms drive the functioning of neural networks in artificial intelligence?

Explore the structure of neural networks and delve into the mathematical algorithms that enable their learning and functioning.

Optimization Problems in Logistics

How can mathematical optimization improve efficiency in supply chain logistics?

Investigate real-world logistics challenges and demonstrate how mathematical optimization techniques can offer solutions.

Number Theory in Modern Cryptography

How does advanced number theory underpin modern cryptographic techniques?

Delve into number theory concepts and their application in modern cryptographic methods, emphasizing their role in ensuring data security.

These topics and research questions offer a balanced blend of complexity and accessibility, making them suitable for students seeking a moderate challenge in their Math Extended essay.

Advanced topics (with potential for higher rewards)

For the brave hearts ready to dive deep, these topics are challenging but can yield impressive results when tackled effectively.

The list of 10 challenging IB Math Extended essay ideas, each with a research question and a brief description:

Navier–Stokes Existence and Smoothness

What are the mathematical implications of the unsolved Navier–Stokes existence and smoothness problem in fluid dynamics?

Delve deep into the Navier–Stokes equations, exploring their significance in fluid dynamics and the challenges surrounding their unsolved problems.

Riemann Hypothesis and Prime Numbers

How does the Riemann Hypothesis relate to the distribution of prime numbers?

Investigate the Riemann Hypothesis, its historical context, and its profound implications for the distribution of prime numbers.

Quantum Cryptography and Key Distribution

How does quantum cryptography enhance security in key distribution?

Explore the principles of quantum mechanics applied to cryptography, focusing on the advantages and challenges of quantum key distribution.

Elliptic Curves and Cryptography

How do elliptic curves underpin modern cryptographic techniques?

Dive into the mathematics of elliptic curves and their pivotal role in modern cryptographic algorithms.

Four Color Theorem and Graph Theory

How does the Four Color Theorem demonstrate the complexities of graph coloring?

Investigate the history and proof of the Four Color Theorem, discussing its implications and challenges in graph theory.

Complex Analysis in Quantum Mechanics

How does complex analysis influence the mathematical foundations of quantum mechanics?

Delve into the principles of complex analysis and explore their applications and significance in quantum mechanics.

Twin Prime Conjecture

What are the implications and challenges of the Twin Prime Conjecture in number theory?

Investigate the Twin Prime Conjecture, its history, and its significance in the realm of number theory.

Knot Theory and DNA Replication

How does knot theory provide insights into the process of DNA replication?

Explore the mathematical intricacies of knot theory and its applications in understanding the complexities of DNA replication.

Ergodic Theory and Thermodynamics

How does ergodic theory connect with the principles of statistical thermodynamics?

Dive deep into ergodic theory, exploring its foundational concepts and its connections to statistical thermodynamics.

Langlands Program and Number Theory

What is the Langlands Program, and how does it seek to unify different areas of mathematics?

Investigate the Langlands Program, its objectives, and its profound implications in unifying disparate areas of mathematics, particularly number theory.

These topics are undoubtedly challenging but can yield impressive results when tackled effectively. They offer a deep dive into complex mathematical concepts and theories, making them ideal for students aiming for the highest grades in their Math Extended essay.

Get extended essay help

Before continuing to the next block, I suggest our Math EE writing or editing services . Our company has been working with numerous IB students and helped them write custom IB extended essays.

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Overused Math EE topics (proceed with caution)

While these topics are popular, they’ve been explored extensively. If you choose one, ensure you bring a fresh perspective:

• The Fibonacci Sequence in Nature.
• Pi and its Mysteries.
• The Monty Hall Problem.
• The Birthday Paradox.
• Exploring Pascal’s Triangle.
• The Mathematics of the Pyramids.
• The Tower of Hanoi Problem.
• Benford’s Law.
• The Four Color Theorem.
• The Mathematics of the Rubik’s Cube.

Keep in mind that selecting such a topic will require hard work to find a new custom angle of research and sometimes might not lead to higher grades .

In Conclusion

Alright, IB champs, that wraps up our curated selection of Math EE topics, each with its unique flavor and challenge. The topic is just the starting point. The real magic happens when you infuse it with your insights, analysis, and unique perspective. 

Mathematics isn’t just about numbers; it’s about stories and trips within the confines of equations and graphs. As you gear up to tackle your Extended essay, keep that passion alive, keep questioning, and most importantly, enjoy the process. 

Don’t forget to reserve extra space because it may take time to write an extended essay . And if you’re ever in doubt, remember that Writing Metier is here to guide you through every step of the process.

Free topic suggestions

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Vasyl Kafidoff is a co-founder and CEO at WritingMetier. He is interested in education and how modern technology makes it more accessible. He wants to bring awareness about new learning possibilities as an educational specialist. When Vasy is not working, he’s found behind a drum kit.

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Interesting Maths Essay Topics and Research Papers

• peachyessay
• May 16, 2022
• Blogs , Essay Topics

Mathematics is a unique area of study that deals with numbers, structures, shapes, quantities, and formulas. Even though math rarely deals with words, students in high school and colleges are sometimes tasked with researching math topics. Many students are always stuck on what topic to write about.

In this article, you will learn exciting math topics and the different branches of mathematics that you can choose.

Top 23 Interesting Math Topics

Math is a broad area that encompasses different topics. Below is a list of the top interesting math topics:

• Number theory in everyday life
• Logicist definitions of mathematics
• Multivariable vs. vector calculus
• Four conditions of functional analysis
• Random variable in probability theory
• How math is used in cryptography
• The function of homological algebra
• Concave vs. convex in geometry
• The philosophical problem of foundations
• Importance of numerical analysis for machine learning.
• Analysis of functions and complex equations in fractal geometry
• Cumulative and noncumulative algebra
• Critical analysis of Logarithms
• How to teach math to special children
• How to apply encryption and prime numbers
• The gender gap in math students
• Correlation between math and accounting
• An analysis of what Quadratics entail
• Types of sequence and their importance
• Difference between computer programming and applied math
• Are Asians the pacesetters in the mathematical field?
• Math and the technological advancement
• Discuss whether math is connected to another field of study

Branches of Mathematics

The main branches of mathematics include algebra, arithmetic, number theory, and geometry.  From these branches, other branches have come in place. We will discuss the several types of branches:

• Geometry: Geometry mainly encompasses the shapes and sizes of different objects. The practical side of mathematics is interested in polygons and geometrical objects. The three main geometry types are Euclidean, spherical, and hyperbolic. If you are intrigued by the shapes and sizes of objects, this is the branch that you should major in.
• Arithmetic: Arithmetic is an important branch of math as it is used in our everyday life for various reasons, from typical calculations to profit or loss computation. It mainly deals with numbers and their applications. Multiplication, addition, division, and subtraction are used to solve arithmetic problems, and they turn into more complex concepts such as exponents, limits, and other types of calculations.
• Algebra: Algebra is a significant branch of mathematics, and it deals with solving generic algebraic expressions and manipulating them to get the intended results. Unknown quantities solve alphabets that form part of an equation, and you will determine the value of each variable. It engages complicated formulas and solutions to get answers that will solve the problems in question.
• Number Theory: Number theory is considered the queen of mathematics which brought the relationship of numbers. It is one of the oldest branches of mathematics that introduces properties of integers such as additions, subtraction, modulus, and multiplication. Number theory builds complex systems like cryptography and game theory.
• Probability and Statistics: Probability and statistics depend on mathematical concepts to predict events and organize, analyze and interpret the collected data. This branch studies laws and principles that govern numerical data and events.
• Calculus: Calculus is an advanced branch of mathematics that focuses on change. Calculus has enabled mathematics to be studied in motion rather than in static objects. It is used in different fields and is categorized into differential and integral calculus.
• Topology: Topology deals with geometrical deformations like stretching, crumpling, twisting, and bedding. Topology is mainly applied in differentiable equations, dynamic systems, knot theory, and Riemann surfaces.
• Trigonometry: Trigonometry was coined from two Greek words, trigonous, which means triangles, and metron, meaning measure.  This branch of mathematics deals with studying angles and sides of triangles to measure distance and length. Trigonometry focuses on the relationship between angles and sides of the triangle and the different triangles and their properties.

Additionally, there are advanced branches of math, which include:

• Matrix algebra
• Numerical analysis
• Game theory
• Research operations
• Cartesian geometry
• Complex numbers
• Combinatorics

The above branches will aid you in studying various concepts methodically and gives students a helpful guide to select from when settling for a mathematical career.

Math Essay Topics for High School

Math is a study of science that majorly deals with logic, numbers, arrangements, and shapes. However, high school and college students are sometimes asked to do mathematical essays.

Most students find it challenging to come up with an exciting topic, below are some topics that you can choose from:

• Discuss the importance of Pythagoras’ theory
• Discuss the differences and similarities between the different branches of math
• How to solve linear equations
• Should math be a compulsory subject?
• How to solve a matrix problem
• The distributive property of multiplication
• How to overcome math anxiety
• Correlation between gender and math
• My experience with studying math
• How to improve your math skills and ability
• Is the classroom enough for studying and passing math
• How game developers use math
• expound on the differences between sine, cosine, and tangent
• Define and discuss linear growth
• Elaborate on whether a calculator is an essential tool in math
• Discuss the concept of derivative algebra
• What is mathematical biology, and how important is it?
• Analyze the symmetric Boolean function and their significance
• Discuss the Regiomontanus’ angle maximization issue
• Discuss the importance of complementary angles
• An analysis of approximation in limits
• In-depth analysis of Morita duality in algebraic structures

College Math Topics for a Paper

Essays come in handy when you want to elaborate on complex ideas. The following will be beneficial for your college research paper:

• Discuss the importance of n- Dimensional spaces
• Describe and explain how card counting works
• An in-depth analysis of how encryption operates
• What is set theory, and how important is it
• Discuss the practical application of game theory
• The topology of Mobius strip
• Discuss the different types of statistical methods
• Analyze the properties of a rotation matrix
• Discuss the degrees in polynomial functions
• Analyze the formation of fractals
• How you can solve soduku using math
• Discuss the concepts in number theory
• Explain the difference between a discrete and continuous probability distribution
• Describe the main problem facing computational geometry
• Discuss how you can divide complex numbers and solve it
• Discuss the main topological concepts in modern math
• The mathematical concept behind computer vision and object recognition
• Discuss the history of Greek symbols in mathematics
• In-depth analysis of the pentagonal number theory
• Critically analyze the topological concepts in modern mathematics

Advanced Topic in Math to Write

Advanced math topics prepare students for advanced functions to better grasp matters. Students will learn the advanced topic through discovery and applications to enhance the skills needed in solving complex mathematical problems.

Advanced math includes combinatorics, logic, topology, and computational math. Below are some of the enticing topics that you can write about:

• The fundamental properties of holomorphic and its functions
• How Cauchy’s integral theorem leads to Cauchy’s integral formula
• Analyze how Picard’s theories correlate with each other
• What is an algorithm, and how is it used in machine learning
• Discuss the different types of knapsack problems
• Critically analyze the problem with the wholeness axiom and kunen’s inconsistency theory
• What are elementary embedding and its importance in model theory
• The use of etale cohomology groups in calculating algebraic curves
• Analyze the concept of the abelian group
• An analysis of the Chinese restaurant process and its mathematical formulae
• A detailed analysis of the knot theory
• Analyze the different ways of solving inverse problems
• In-depth analysis of the Dempster – Shaffer theory
• Discuss the transferable belief model
• Critically analyze the orbit stabilizer theory

Math Research Topics for a Paper

To do an excellent math research paper, you have to choose an intriguing topic. Below are some fascinating math research topics that you can choose from:

• Expound on the history of calculus
• The significance of unresolved math equations
• How to design a train schedule for a country
• Examine the traveling salesman problem; can it be solved mathematically
• Analyze the effect of various groundbreaking mathematical equations
• An analysis of the quantum computing theory
• Discuss the strategies used to win a game of Go
• Explain the mathematical concept used in ancient Persia
• An analysis of how the Iwasawa theory relates to the modular forms
• Discuss the mathematical ways of finding someone lost in a maze
• Critically analyze the Fisher fundamental theory of natural selection
• How to effectively use Napier’s bones
• An analysis of how prime numbers are used in encryption
• The evolution of mathematics
• Expound on the Hanoi’s solution
• The mathematical functions of barcodes
• How math is used in artificial intelligence
• Analyze ant three mathematical theorem
• Analyze how the back and forth method works and how important it is in the mathematical field.

It is hard to look for a mathematical research topic, especially for those who don’t like math. However, it is difficult to handle other fields without math. Your own business will demand that you get some mathematical knowledge.

This list will come in handy whether you are a high school student or in college. The selected topics will aid you in your research work. Enjoy your mathematical experience!

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25 Interesting Math Topics: How to Write a Good Math Essay

writing good math essay

Mathematics is a fascinating world of numbers, shapes, and patterns. 

Whether you are a student looking to grasp math concepts or someone who finds math intriguing, these topics will spark your curiosity and help you discover the beauty of mathematics straightforwardly and engagingly.

In this article, I will explore interesting math topics that make this subject not only understandable but also enjoyable.

Why Write About Mathematics

First, it helps demystify a subject that many find intimidating. By breaking down complex mathematical concepts into simple, understandable language, we can make math accessible to a wider audience, fostering greater understanding and appreciation.

Second, writing about mathematics allows us to showcase the practical applications of math in everyday life, from managing personal finances to solving real-world problems.

This helps readers recognize the relevance of math and its role in various fields and industries.

Additionally, writing about mathematics can inspire curiosity and a love for learning.

It encourages critical thinking and problem-solving skills, promoting intellectual growth and academic success.

Finally, mathematics is a universal language that transcends cultural and linguistic barriers.

After discussing math topics, we can connect with a global audience, fostering a sense of unity and collaboration in the pursuit of knowledge

 25 Interesting Math Topics to Write On

 Mathematics is a vast and intriguing field, offering a multitude of interesting topics to explore and write about.

Here are 25 such topics that promise to engage both math enthusiasts and those seeking a deeper understanding of this fascinating subject.

1. Fibonacci Sequence: Delve into the mesmerizing world of numbers with this sequence, where each number is the sum of the two preceding ones.

2. Golden Ratio: Explore the ubiquity of the golden ratio in art, architecture, and nature.

3. Prime Numbers: Investigate the mysterious properties of prime numbers and their role in cryptography.

4. Chaos Theory: Understand the unpredictability of chaotic systems and how small changes can lead to drastically different outcomes.

5. Game Theory: Examine the strategies and decision-making processes behind games and real-world situations.

6. Cryptography: Uncover the mathematical principles behind secure communication and encryption.

7. Fractals: Discover the self-replicating geometric patterns that occur in nature and mathematics.

8. Probability Theory: Dive into the world of uncertainty and randomness, where math helps us make informed predictions.

9. Number Theory: Explore the properties and relationships of integers, including divisibility and congruence.

10. Geometry of Art: Analyze how geometry and math principles influence art and design.

11. Topology: Study the properties of space that remain unchanged under continuous transformations, leading to the concept of “rubber-sheet geometry.”

12. Knot Theory: Investigate the mathematical study of knots and their applications in various fields.

13. Number Systems: Learn about different number bases, such as binary and hexadecimal, and their significance in computer science.

14. Graph Theory: Explore networks, relationships, and the mathematics of connections.

15. The Monty Hall Problem: Delight in this famous probability puzzle based on a game show scenario.

16. Calculus: Examine the principles of differentiation and integration that underlie a wide range of scientific and engineering applications.

17. The Riemann Hypothesis: Consider one of the most famous unsolved problems in mathematics involving the distribution of prime numbers.

18. Euler’s Identity: Marvel at the beauty of Euler’s equation, often described as the most elegant mathematical formula.

19. The Four-Color Theorem: Uncover the fascinating problem of coloring maps with only four colors without adjacent regions sharing the same color.

20. P vs. NP Problem: Delve into one of the most critical unsolved problems in computer science, addressing the efficiency of algorithms.

21. The Bridges of Konigsberg: Explore a classic problem in graph theory that inspired the development of topology.

22. The Birthday Paradox: Understand the surprising likelihood of shared birthdays in a group.

23. Non-Euclidean Geometry: Step into the world of geometries where Euclid’s parallel postulate doesn’t hold, leading to intriguing alternatives like hyperbolic and elliptic geometry.

24. Perfect Numbers: Learn about the properties of numbers that are the sum of their proper divisors.

25. Zero: The History of Nothing: Trace the historical and mathematical significance of the number zero and its role in the development of mathematics.

How to Write a Good Math Essay

Mathematics essays , though often perceived as daunting, can be a rewarding way to delve into the world of mathematical concepts, problem-solving, and critical thinking.

Whether you are a student assigned to write a math essay or someone who wants to explore math topics in-depth, this guide will provide you with the key steps to write a good math essay that is clear, concise, and engaging.

1. Understanding the Essay Prompt

Before you begin writing, it’s crucial to understand the essay prompt or question.

Analyze the specific topic, the scope of the essay, and any guidelines or requirements provided by your instructor.

Mostly, this initial step sets the direction for your essay and ensures you stay on topic.

2. Research and Gather Information

You need to gather relevant information and resources to write a strong math essay. This includes textbooks, academic papers, and reputable websites.

Make sure to cite your sources properly using a recognized citation style such as APA, MLA, or Chicago.

3. Structuring Your Math Essay

Start with a clear introduction that provides an overview of the topic and the main thesis or argument of your essay. This section should capture the reader’s attention and present a roadmap for what to expect.

The body of your essay is where you present your arguments, explanations, and evidence. Use clear subheadings to organize your ideas. Ensure that your arguments are logical and well-structured.

Begin by defining any important mathematical concepts or terms necessary to understand your topic.

Clearly state your main arguments or theorems. Please support them with evidence, equations, diagrams, or examples.

Explain the logical steps or mathematical reasoning behind your arguments. This can include proofs, derivations, or calculations.

Ensure your writing is clear and free from jargon that might confuse the reader. Explain complex ideas in a way that’s accessible to a broader audience.

Whenever applicable, include diagrams, graphs, or visual aids to illustrate your points. Visual representations can enhance the clarity of your essay.

Summarize your main arguments, restate your thesis, and offer a concise conclusion. Address the significance of your findings and the implications of your research or discussion.

4. Proofreading and Editing

Once you’ve written your math essay, take the time to proofread and edit it. Pay attention to grammar, spelling, punctuation, and the overall flow of your writing.

Ensure that your essay is well-organized and free from errors.

Consider seeking feedback from peers or an instructor to gain a fresh perspective.

5. Presentation and Formatting

A well-presented essay is more likely to engage the reader. Follow these formatting guidelines:

• Use a legible font (e.g., Times New Roman or Arial) in a standard size (12-point).
• Double-space your essay and include page numbers if required.
• Create a title page with your name, essay title, course information, and date.
• Use section headings and subheadings for clarity.
• Include a reference page to cite your sources appropriately.

6. Mathematical Notation and Symbols

Mathematics relies heavily on notation and symbols. Ensure that you use mathematical notation correctly and consistently.

If you introduce new symbols or terminology, define them clearly for the reader’s understanding.

7. Seek Clarification

If you encounter difficulties or ambiguities in your math essay, don’t hesitate to seek clarification from your instructor or peers.

Discussing complex mathematical concepts with others can help you refine your understanding and improve your essay.

8. Practice and Feedback

Writing math essays, like any skill, improves with practice. The more you write and receive feedback, the better you’ll become.

Take your time with initial challenges. Instead, view them as opportunities for growth and learning.

With dedication and attention to detail, you can craft a math essay that not only conveys your mathematical knowledge but also engages and informs your readers.

Josh Jasen or JJ as we fondly call him, is a senior academic editor at Grade Bees in charge of the writing department. When not managing complex essays and academic writing tasks, Josh is busy advising students on how to pass assignments. In his spare time, he loves playing football or walking with his dog around the park.

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181 Mathematics Research Topics From PhD Experts

If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.

And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.

Our Newest Research Topics in Math

We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.

So, without further ado, here are the 181 brand new topics for your next math research paper:

Cool Math Topics to Research

Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:

• Roll two dice and calculate a probability
• Discuss ancient Greek mathematics
• Is math really important in school?
• Discuss the binomial theorem
• The math behind encryption
• Game theory and its real-life applications
• Analyze the Bernoulli scheme
• What are holomorphic functions and how do they work?
• Describe big numbers
• Solving the Tower of Hanoi problem

Undergraduate Math Research Topics

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:

• Methods to count discrete objects
• The origins of Greek symbols in mathematics
• Methods to solve simultaneous equations
• Real-world applications of the theorem of Pythagoras
• Discuss the limits of diffusion
• Use math to analyze the abortion data in the UK over the last 100 years
• Discuss the Knot theory
• Analyze predictive models (take meteorology as an example)
• In-depth analysis of the Monte Carlo methods for inverse problems
• Squares vs. rectangles (compare and contrast)

Number Theory Topics to Research

Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:

• Discuss the greatest common divisor
• Explain the extended Euclidean algorithm
• What are RSA numbers?
• Discuss Bézout’s lemma
• In-depth analysis of the square-free polynomial
• Discuss the Stern-Brocot tree
• Analyze Fermat’s little theorem
• What is a discrete logarithm?
• Gauss’s lemma in number theory
• Analyze the Pentagonal number theorem

Math Research Topics for High School

High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:

• Discuss Brun’s constant
• An in-depth look at the Brahmagupta–Fibonacci identity
• What is derivative algebra?
• Describe the Symmetric Boolean function
• Discuss orders of approximation in limits
• Solving Regiomontanus’ angle maximization problem
• What is a Quadratic integral?
• Define and describe complementary angles
• Analyze the incircle and excircles of a triangle
• Analyze the Bolyai–Gerwien theorem in geometry
• Math in our everyday life

Complex Math Topics

If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:

• Mathematics and its appliance in Artificial Intelligence
• Try to solve an unsolved problem in math
• Discuss Kolmogorov’s zero-one law
• What is a discrete random variable?
• Analyze the Hewitt–Savage zero-one law
• What is a transferable belief model?
• Discuss 3 major mathematical theorems
• Describe and analyze the Dempster-Shafer theory
• An in-depth analysis of a continuous stochastic process
• Identify and analyze Gauss-Markov processes

Easy Math Research Paper Topics

Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:

• Define the hyperbola
• Do we need to use a calculator during math class?
• The binomial theorem and its real-world applications
• What is a parabola in geometry?
• How do you calculate the slope of a curve?
• Define the Jacobian matrix
• Solving matrix problems effectively
• Why do we need differential equations?
• Should math be mandatory in all schools?
• What is a Hessian matrix?

Logic Topics to Research

We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:

• Discuss the reductio ad absurdum approach
• Discuss Boolean algebra
• What is consistency proof?
• Analyze Trakhtenbrot’s theorem (the finite model theory)
• Discuss the Gödel completeness theorem
• An in-depth analysis of Morley’s categoricity theorem
• How does the Back-and-forth method work?
• Discuss the Ehrenfeucht–Fraïssé game technique
• Discuss Aleph numbers (Aleph-null and Aleph-one)
• Solving the Suslin problem

Algebra Topics for a Research Paper

Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:

• Discuss the differential equation
• Analyze the Jacobson density theorem
• The 4 properties of a binary operation in algebra
• Analyze the unary operator in depth
• Analyze the Abel–Ruffini theorem
• Epimorphisms vs. monomorphisms: compare and contrast
• Discuss the Morita duality in algebraic structures
• Idempotent vs. nilpotent in Ring theory
• Discuss the Artin-Wedderburn theorem
• What is a commutative ring in algebra?
• Analyze and describe the Noetherian ring

Math Education Research Topics

There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:

• What are the goals a mathematics professor should have?
• What is math anxiety in the classroom?
• Teaching math in UK schools: the difficulties
• Computer programming or math in high school?
• Is math education in Europe at a high enough level?
• Common Core Standards and their effects on math education
• Culture and math education in Africa
• What is dyscalculia and how does it manifest itself?
• When was algebra first thought in schools?
• Math education in the United States versus the United Kingdom

Computability Theory Topics to Research

Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:

• What is a multiplication table?
• Analyze the Scholz conjecture
• Explain exponentiating by squaring
• Analyze the Myhill-Nerode theorem
• What is a tree automaton?
• Compare and contrast the Pushdown automaton and the Büchi automaton
• Discuss the Markov algorithm
• What is a Turing machine?
• Analyze the post correspondence problem
• Discuss the linear speedup theorem
• Discuss the Boolean satisfiability problem

Interesting Math Research Topics

We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:

• What is two-element Boolean algebra?
• The life of Gauss
• The life of Isaac Newton
• What is an orthodiagonal quadrilateral?
• Tessellation in Euclidean plane geometry
• Describe a hyperboloid in 3D geometry
• What is a sphericon?
• Discuss the peculiarities of Borel’s paradox
• Analyze the De Finetti theorem in statistics
• What are Martingales?
• The basics of stochastic calculus

Applied Math Research Topics

Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:

• Discuss Newton’s laws of motion
• Analyze the perpendicular axes rule
• How is a Galilean transformation done?
• The conservation of energy and its applications
• Discuss Liouville’s theorem in Hamiltonian mechanics
• Analyze the quantum field theory
• Discuss the main components of the Lorentz symmetry
• An in-depth look at the uncertainty principle

Geometry Topics for a Research Paper

Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:

• Most useful trigonometry functions in math
• The life of Archimedes and his achievements
• Trigonometry in computer graphics
• Using Vincenty’s formulae in geodesy
• Define and describe the Heronian tetrahedron
• The math behind the parabolic microphone
• Discuss the Japanese theorem for concyclic polygons
• Analyze Euler’s theorem in geometry

Math Research Topics for Middle School

Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:

• Finding critical points in a graph
• The basics of calculus
• What makes a graph ultrahomogeneous?
• How do you calculate the area of different shapes?
• What contributions did Euclid have to the field of mathematics?
• What is Diophantine geometry?
• What makes a graph regular?
• Analyze a full binary tree

Math Research Topics for College Students

As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:

• What are extremal problems and how do you solve them?
• Discuss an unsolvable math problem
• How can supercomputers solve complex mathematical problems?
• An in-depth analysis of fractals
• Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
• Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
• An in-depth look at Einstein’s field equation
• The math behind computer vision and object recognition

Calculus Topics for a Research Paper

Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:

• When do we need to apply the L’Hôpital rule?
• Discuss the Leibniz integral rule
• Calculus in ancient Egypt
• Discuss and analyze linear approximations
• The applications of calculus in real life
• The many uses of Stokes’ theorem
• Discuss the Borel regular measure
• An in-depth analysis of Lebesgue’s monotone convergence theorem

Simple Math Research Paper Topics for High School

This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:

• The life and work of the famous Pierre de Fermat
• What are limits and why are they useful in calculus?
• Explain the concept of congruency
• The life and work of the famous Jakob Bernoulli
• Analyze the rhombicosidodecahedron and its applications
• Calculus and the Egyptian pyramids
• The life and work of the famous Jean d’Alembert
• Discuss the hyperplane arrangement in combinatorial computational geometry
• The smallest enclosing sphere method in combinatorics

Business Math Topics

If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:

• Is paying a loan with another loan a good approach?
• Discuss the major causes of a stock market crash
• Best debt amortization methods in the US
• How do bank loans work in the UK?
• Calculating interest rates the easy way
• Discuss the pros and cons of annuities
• Basic business math skills everyone should possess
• Business math in United States schools
• Analyze the discount factor

Probability and Statistics Topics for Research

Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:

• What is the autoregressive conditional duration?
• Applying the ANOVA method to ranks
• Discuss the practical applications of the Bates distribution
• Explain the principle of maximum entropy
• Discuss Skorokhod’s representation theorem in random variables
• What is the Factorial moment in the Theory of Probability?
• Compare and contrast Cochran’s C test and his Q test
• Analyze the De Moivre-Laplace theorem
• What is a negative probability?

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Math Essay Ideas for Students: Exploring Mathematical Concepts

Are you a student who's been tasked with writing a math essay? Don't fret! While math may seem like an abstract and daunting subject, it's actually full of fascinating concepts waiting to be explored. In this article, we'll delve into some exciting math essay ideas that will not only pique your interest but also impress your teachers. So grab your pens and calculators, and let's dive into the world of mathematics!

• The Beauty of Fibonacci Sequence

Have you ever wondered why sunflowers, pinecones, and even galaxies exhibit a mesmerizing spiral pattern? It's all thanks to the Fibonacci sequence! Explore the origin, properties, and real-world applications of this remarkable mathematical sequence. Discuss how it manifests in nature, art, and even financial markets. Unveil the hidden beauty behind these numbers and show how they shape the world around us.

• The Mathematics of Music

Did you know that music and mathematics go hand in hand? Dive into the relationship between these two seemingly unrelated fields and develop your writing skills . Explore the connection between harmonics, frequencies, and mathematical ratios. Analyze how musical scales are constructed and why certain combinations of notes create pleasant melodies while others may sound dissonant. Explore the fascinating world where numbers and melodies intertwine.

• The Geometry of Architecture

Architects have been using mathematical principles for centuries to create awe-inspiring structures. Explore the geometric concepts that underpin iconic architectural designs. From the symmetry of the Parthenon to the intricate tessellations in Islamic art, mathematics plays a crucial role in creating visually stunning buildings. Discuss the mathematical principles architects employ and how they enhance the functionality and aesthetics of their designs.

• Fractals: Nature's Infinite Complexity

Step into the mesmerizing world of fractals, where infinite complexity arises from simple patterns. Did you know that the famous Mandelbrot set , a classic example of a fractal, has been studied extensively and generated using computers? In fact, it is estimated that the Mandelbrot set requires billions of calculations to generate just a single image! This showcases the computational power and mathematical precision involved in exploring the beauty of fractal geometry.

Explore the beauty and intricacy of fractal geometry, from the famous Mandelbrot set to the Sierpinski triangle. Discuss the self-similarity and infinite iteration that define fractals and how they can be found in natural phenomena such as coastlines, clouds, and even in the structure of our lungs. Examine how fractal mathematics is applied in computer graphics, art, and the study of chaotic systems. Let the captivating world of fractals unfold before your eyes.

• The Game Theory Revolution

Game theory isn't just about playing games; it's a powerful tool used in various fields, from economics to biology. Dive into the world of strategic decision-making and explore how game theory helps us understand human behavior and predict outcomes. Discuss in your essay classic games like The Prisoner's Dilemma and examine how mathematical models can shed light on complex social interactions. Explore the cutting-edge applications of game theory in diverse fields, such as cybersecurity and evolutionary biology. If you still have difficulties choosing an idea for a math essay, find a reliable expert online. Ask them to write me an essay or provide any other academic assistance with your math assignments.

• Chaos Theory and the Butterfly Effect

While writing an essay, explore the fascinating world of chaos theory and how small changes can lead to big consequences. Discuss the famous Butterfly Effect and how it exemplifies the sensitive dependence on initial conditions. Delve into the mathematical principles behind chaotic systems and their applications in weather forecasting, population dynamics, and cryptography. Unravel the hidden order within apparent randomness and showcase the far-reaching implications of chaos theory.

• The Mathematics Behind Cryptography

In an increasingly digital world, cryptography plays a vital role in ensuring secure communication and data protection. Did you know that the global cybersecurity market is projected to reach a staggering $248.26 billion by 2023? This statistic emphasizes the growing importance of cryptography in safeguarding sensitive information.

Explore the mathematical foundations of cryptography and how it allows for the creation of unbreakable codes and encryption algorithms. Discuss the concepts of prime numbers, modular arithmetic, and public-key cryptography. Delve into the fascinating history of cryptography, from ancient times to modern-day encryption methods. In your essay, highlight the importance of mathematics in safeguarding sensitive information and the ongoing challenges faced by cryptographers.

Writing a math essay doesn't have to be a daunting task. By choosing a captivating topic and exploring the various mathematical concepts, you can turn your essay into a fascinating journey of discovery. Whether you're uncovering the beauty of the Fibonacci sequence, exploring the mathematical underpinnings of music, or delving into the game theory revolution, there's a world of possibilities waiting to be explored. So embrace the power of mathematics and let your creativity shine through your words!

Remember, these are just a few math essay ideas to get you started. Feel free to explore other mathematical concepts that ignite your curiosity. The world of mathematics is vast, and each concept has its own unique story to tell. So go ahead, unleash your inner mathematician, and embark on an exciting journey through the captivating realm of mathematical ideas!

Tobi Columb, a math expert, is a dedicated educator and explorer. He is deeply fascinated by the infinite possibilities of mathematics. Tobi's mission is to equip his students with the tools needed to excel in the realm of numbers. He also advocates for the benefits of a gluten-free lifestyle for students and people of all ages. Join Tobi on his transformative journey of mathematical mastery and holistic well-being.

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166 Extraordinary Math Research Topics For Your Papers

Math research topics cover various genres from which students can choose. Many people think that a research project on a math topic is dull. However, mathematics can be a wonderful and vivid field. Since it’s a universal language, mathematics can describe anything and everything, from galaxies that orbit each other to music. However, the broad nature of this study field also makes selecting a research paper difficult. That’s because learners want to pick interesting topics that will impress educators to award them top scores. This article lists the best math research paper topics. It’s useful because it inspires students to select or customize topics for their academic essays without much struggle.

What Are The Different Types Of Math?

As hinted, math covers several genres. Here are the primary types of mathematics:

Geometry: It’s a math branch that deals with the shapes, size, and relative position of figures. Many people consider geometry a practical math branch because it examines figures, shapes, sizes, and features of various entities, including parts like solids, lines, surfaces, lines, and angles. Algebra: It assists in solving equations and manipulating symbols. This branch helps students represent unknown quantities with alphabets and use them alongside numbers. Calculus: This area is vital in determining rates of change, such as velocity and acceleration. Arithmetic: Arithmetic is the most common and oldest math branch, encompassing basis number operations. These operations include subtraction, addition, divisions, and multiplications, and some schools shorten it as BODMAS. Statistics and Probability: They help analyze numerical data to make predictions. Probability is about chances, while statistics entails handling different data using various techniques. Trigonometry: It assists in calculating angles and distances between points. It mainly deals with triangles’ relationships, sides, and curves.

Now that you understand the types of mathematics, it’s easier to select a suitable research topic. The following are some of the best topic ideas in math. 

 Undergraduate Math Research Topics

Maybe you’re pursuing your undergraduate studies. However, you have challenges comprehending math topics, yet the professor expects you to write a superior paper. In that case, here’s a list of engaging research topics in math to consider for your essays.

• An in-depth comprehension of the meaning of discrete random variables in math and their identification
• Math evolution- Comprehending the Gauss-Markov
• Primary math theorems- Investigating how they work
• Continuous stochastic process- Exploring its role in the math process
• Analyzing the Dempster-Shafer theory
• The application of the transferable belief model
• Exploring the use of math in artificial intelligence
• The application of mathematics in daily life
• Algebra and its history
• Math and culture- What’s the relationship?
• How drawing and painting could help with mathematics
• Ways to boost math interest among learners
• The social and political significance of learning mathematics
• Circles and their relevance in mathematics
• Challenges to math learning in public schools
• Prove the use of F-Algebras
• Understanding the meaning of abstract algebra
• Discuss geometry and algebra
• How acute square triangulation works
• Discuss the essence of right triangles
• Why non-Euclidean geometry should be compulsory for math students
• Investigating number problems
• Discuss the meaning of Dirac manifolds
• How geometry influences chemistry and physics
• Riemannian manifolds’ application in the Euclidean space

These are exciting math topics for undergraduate students. Nevertheless, prepare adequate time and resources to investigate any of these titles to draft a winning essay. You might have to provide theoretical and practical assessments when writing your essay.

Math Research Topics for High School Learners

Maybe your high school teacher asked you to write a research paper. Choosing a familiar topic is an excellent way to get a high grade. Here are some of the best math research paper topics for high school.

• How to draw a chart representing the financial analysis of a prominent company over the last five years
• How to solve a matrix- The vital principles and formulas to embrace
• Exploring various techniques for solving finance and mathematical gaps
• Discount factor- Why it’s crucial for learners and ways to achieve it
• Calculating the interest rate and its essence in the banking industry
• Why imaginary numbers are important
• Investigating the application of math in the workplace
• Explain why learners hate mathematics teachers
• What makes math a complex subject?
• Is making math compulsory in high school a good thing?
• How to solve a dice question from a probability perspective
• Understanding the Binomial theorem and its essence
• Investigating Egyptian mathematics
• Hyperbola- Understanding it and its use in math
• When should students use calculators in class?
• How to solve linear equations
• Is the Pythagoras theorem important in math?
• The interdependence between math and art
• Philosophy’s role in math
• Numerical data overview

High school learners can pick any of these titles and develop them into an essay. Nevertheless, they should prepare to spend some time investigating their topics to write pieces that will impress their educators. Titles that address math history and its influence on education can also suit high school students. However, learners should select titles that fulfil the academic requirements set by the educators.

Applied Math Research Topics

As a branch, applied math deals with mathematical methods and their real-life applications. These methods are manifest in engineering, finance, medicine, biology, physics, and others. Here are some of the exciting topics in this field.

• Dimensions for examining fingerprints
• Computer tomography and its significance
• Step-stress modelling- What is its importance?
• Explain the essence of data mining- How does it benefit the banking sector?
• A detailed examination of nonlinear models
• How genes discovery helps determine unhealthy and healthy patients
• Algorithms and their role in probabilistic modelling
• Mathematicians and their importance in robots’ development
• Mathematicians’ role in crime prevention and data analysis
• The essence of Law of Motion by Isaac in real life
• The importance of math in energy conservation
• Math and its role in quantum theory
• Analyzing the Lorentz symmetry features
• Evaluating the processing of the statistical signal in detail
• Explain the achievement of Galilean Transformation

These are exciting ideas to explore when writing a research paper in applied math. Nevertheless, take your time to carefully and extensively research your preferred title to write a high-quality essay. Students should also note that some topics in this category require specialized knowledge to write superior papers.

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Interesting Math Research Topics

Maybe you’re among the learners that prefer working with exciting ideas. In that case, this category has topics that will interest you.

• The uses of numerical analysis in machine learning
• Foundations and philosophical problems
• Convex versus Concave in geometry
• Homological algebra- What is its purpose?
• Is math useful in cryptography
• Probability theory and random variable
• Functional analysis- What are its four conditions?
• Vector calculus versus multivariable
• Mathematics and logicist definitions
• Ways to apply the number theory in daily life
• Studying complex math equations
• How to calculate mode, median, and mean
• Understanding the meaning of the Scholz conjecture
• The definition of the past correspondence problem
• Computational maths- What are its classes?
• Multiplication table and its importance
• What the Boolean satisfiability problem means for a learner
• Understanding the linear speedup theory in mathematics
• The Turing machine description
• Understanding the Markov algorithm
• Investigating the similarities and differences between Buchi automation and Pushdown automation
• What is the meaning of Tree automation?
• Describing the enclosing sphere method and its use in combinations
• Egyptian pyramids and calculus
• Analyzing De Finetti theorem in statistics and probability
• Examining the congruence meaning in math
• Application and purpose of calculus in the banking industry
• Jean d’Alembert’s most famous works
• Boolean algebra- What are its essential elements
• Isaac Newton- His contribution, life, and time in math
• Understanding the meaning of Sphericon
• What is the purpose of Martingales?
• Gauss times, energy, and contributions to math
• Jakob Bernoulli- Exploring his famous works
• A brief history of math

Some learners think writing a math essay is complex and tedious. However, you can find a topic you will enjoy working with throughout the project. These are exciting ideas to explore in research papers. However, prepare to spend sufficient time investigating your chosen title to write a winning paper, although these are generally relaxing titles for math papers and essays.

Math Research Topics for Middle School

Some middle school students worry about the math topics for their research. However, they can choose unique titles that will impress their teachers. Here are some of these ideas.

• The impacts of standard exam curriculum on math education
• Why is learning math so tricky?
• What is the meaning of the commutative ring in algebra?
• The Artin-Wedderburn theorem and its meaning
• How monopolists and epimorphisms differ
• Understanding the Jacobson density theorem
• How linear approximations work
• Root and ratio test definition
• Statistics role in business
• Economic lot scheduling- What does it mean?
• Causes of the stock market crash
• How many traders contribute to the New York Stock Exchange
• The history of revenue management
• Financial signs of an excellent investment
• Depreciation and its odds
• How a poor currency can benefit a country
• How math helps with debt amortization
• Ways to calculate a person’s net worth
• Distinctions in algebra, trigonometry, and calculus
• Discussing the beginning of calculus
• The essence of stochastic in math
• The meaning of limits in math
• Ways to identify a critical point in a graph
• Nonstandard analysis- What does it mean in the probability theory?
• Continuous function description and meaning
• Calculus- What are its primary principles?
• Pythagoras theorem- What are its central tenets?
• Calculus applications in finance
• Theorem value in math
• The application of linear approximations

This list has some of the best titles for middle school learners. But they also require some research to write superior essays. However, finding information on such topics is relatively easy, making them suitable for middle school students.

Math Research Topics for College Students

Maybe you’re pursuing college studies and need a title for a math research paper. In that case, here are exciting titles to consider for your essay.

• What is the purpose of n-dimensional spaces?
• Card counting- How does it work?
• How continuous probability and discrete distribution differ
• Understanding encryption- How Does it work?
• Extremal problems- Investigating them in discrete geometry
• The Mobius strip- Examining the topology
• Why can a math problem be unsolvable?
• Comparing different statistical methods
• Explain the vital number theory concepts
• Analyzing the polynomial functions’ degrees
• Ways to divide complex numbers
• Describe the prize problems with the millennium
• The reasons for the unsolved Riemann hypothesis
• Methods of solving Sudoku with math
• Explain the fractals formation
• Describe the evolution of math
• Explore different types of Tower of Hanoi solutions
• Discuss the uses of Napier’s bones
• With examples, explain the chaos theory
• Why are mathematical equations important all the time?
• Fisher’s fundamental theorem and natural selection- Why are they important?

College professors expect students to draft papers with relevant and valuable information. These are relevant titles for college students. However, they require extensive research to write winning papers.

Cool Math Topics to Research

Maybe you don’t need a complex topic for your research paper. In that case, consider any of these ideas for your essay. If you have a problem writing even with these topics and you’re thinking: “solve my math for me,” you can always reach out to our service.

• How contemporary architectural designs use geometry
• What makes some math equations complex?
• Ways to solve the Rubik’s cube
• Discuss the meaning of prescriptive statistical and predictive analysis
• Understanding the purpose of the chaos theory
• What limits calculus?- Provide relevant examples
• A comparison of universal and abstract algebra- How do they differ?
• The relationship between probability and card tricks
• Pascal’s Triangle- What does it mean?
• Mobius strip- What are its features in geometry?
• Multiple probability ideas- A brief overview
• Discuss the meaning of the Golden Ration in Renaissance period paintings
• How checkers and chess matter in understanding mathematics
• Ways to measure infinity
• Evaluating the Georg Contor theory
• Are hexagons the most balanced shapes in the world?
• The Koch snowflake- Explain the iterations
• The history of various number types and their use
• Game theory use in social science
• Five math types with significant benefits in computer science

These are some of the most excellent math education research topics. However, they also require extensive research to write high-quality papers.

Enlist the Best College Research Paper Writing Service

Perhaps, you have a topic for your paper but not the time to write a winning piece. Maybe you’re not confident in your research, analytical, and writing skills. Thus, you’re unsure that you can write an essay that will compel your educator to award you the highest grade in your class. Well, you’re not the only one. Many students seek cheap research papers due to varied reasons. Whether it’s limited time and resources or a lack of the necessary skills and experience in academic paper writing, our crew can help you. We offer affordable college paper writing services and help in various math branches. Our experts can assist you if you need help with math research topics for high school students, college, or undergraduates. We are a professional team with a reputation for providing the best-rated academic writing assistance. Whether in university, college, or high school, our crew will offer the service you need to excel academically. Contact us now for cheap and reliable help with your academic essays.

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