Mathematics Essays

An Explanation of the Fibonacci Sequence
Example essay. Last modified: 5th Nov 2021
Introduction: This paper examines the properties of the Fibonacci Sequence and some identities related to Fibonacci's sequence....

The Life and Discoveries of Leonhard Euler
Example essay. Last modified: 22nd Oct 2021
Introduction: This paper is a brief biography of the Swiss mathematician Leonhard Euler and an overview of some major contributions he made to various fields of mathematics....

Finding Difference Between the Squares of any Two Natural Numbers
Example essay. Last modified: 24th Sep 2021
Introduction: This paper tries to identify the general properties, special properties of finding difference between the squares of any two natural numbers using number patterns. A rhombus rule relationship between the sequences of numbers formed by considering the difference between squares of the two natural numbers has been defined....

Unexpected Mathematics: Benford's Law and Other Surprising Distributions
Example essay. Last modified: 17th Aug 2021
Introduction: Benford’s law is a surprising mathematical concept which at first seems rather counter-intuitive. It explains the distribution of the leading digits in a large set of data. A simple example displays its initial peculiarity. Imagine we look at the current share price of every company on the FTSE 350, an index of the 350 largest UK companies....

Complex Numbers and their Applications
Example essay. Last modified: 29th Jul 2021
Introduction: A complex number is a number comprising area land imaginary part. It can be written in the form a+ib, where a and b are real numbers, and i is the standard imaginary unit with the property i2=-1...

Correlation of Mathematics with Other Subjects
Example essay. Last modified: 26th Jul 2021
Introduction: Mathematics is “Science of all Sciences” and “Art of all Arts”. After understanding the basic concept of mathematics, students need to correlate the importance and concept of mathematics with other subjects, so as to understand other subjects easily and establishing relationship...

Application of Matrices in Real-Life
Example essay. Last modified: 22nd Jul 2021
Introduction: Matrices are used much more in daily life than people would have thought. In fact it is in front of us every day when going to work, at the university and even at home....

Mathematical Ciphers Essay
Example essay. Last modified: 11th May 2021
Introduction: Mathematical ciphers have been used to encrypt secret messages throughout the ages, dating all way back to the ruling of Julia Caesar in (100 B.C) (Cryptii, 2020). Ciphers are used the encrypt a secret message to send to a person of secret dealings to be decrypted to reveal a secret message....

What Is the Mandelbrot Set and How Is It Constructed?
Example essay. Last modified: 4th Nov 2020
Introduction: The purpose of this essay is to examine the definition of the Mandelbrot set and also how its image is constructed. In addition, I aim to analyze and discern notable patterns in this remarkable image...

Biography and Impact of Charlotte Angas Scott
Example essay. Last modified: 4th Nov 2020
Introduction: Charlotte Angas Scott was an English mathematician born on June 8, 1858 in Lincoln, England. She was the 2nd child of seven to Caleb, a minister in a Congregational Church, and Eliza Ann Exley Scott...

Payment Time Confidence Interval Case Study
Example essay. Last modified: 18th May 2020
Introduction: Payment Time Case Study Electronic billing systems were created to make life easier for companies. Technically speaking, the new billing system is supposed to significantly reduce the pa...

Writing Across the Curriculum in Mathematics
Example essay. Last modified: 18th May 2020
Introduction: Abstract:  A student’s ability to explain concepts in writing is related to the ability to comprehend and apply them. Writing supports mathematical reasoning and problem solving and helps ...

Biography of Georg Cantor
Example essay. Last modified: 18th May 2020
Introduction: Georg Cantor was born in St Petersburg, Russia. His birthday was March 3, 1845. Him and his family lived in St Petersburg Russia until he was 11 years old. They moved to Frankfurt Germany. They m...

Roger Caillois' Scientific and Mathematic Developments
Example essay. Last modified: 18th May 2020
Introduction: Roger Caillois, polymath, philosopher, historian of science, was friend of Andre Breton and many surrealists. However, in 1934, Caillois’s mind was different from surrealist investigators. The ...

Music and Mathematics Harmony
Example essay. Last modified: 18th May 2020
Introduction: Pythagoras was quoted as saying, “there is geometry in the humming of the strings, there is music in the spacing of the spheres.” As poetic as this sounds, the famous Greek mathematician was ...

How Can Integral Calculus Be Derived and Applied to Find the Volumes and Surface Area of Complex Three-dimensional Objects?
Example essay. Last modified: 18th May 2020
Introduction: 1.    Rationale While looking for an area of maths to delve into my Mathematical Exploration, I took inspiration from my grandfather’s hobby of pottery and glass blowing...

Mathematical Modelling of Swimming World Records
Example essay. Last modified: 18th May 2020
Introduction: i ABSTRACT Have you ever wonder what time we can expect for athletes to swim in the Tokyo 2020 Olympics? This the basis that encourage me to research the main question of the report...

To What Extent Is the Acquisition of New Mathematical Knowledge Based on the Need to Solve Problems?
Example essay. Last modified: 18th May 2020
Introduction: Upon first glance, it appears that “knowledge” is created mainly “to solve problems”, indirectly implying that knowledge can be used for other purposes. In the context of this investigati...

Calculus and Quadratic Formula to Determine Lengths
Example essay. Last modified: 18th May 2020
Introduction: INTRODUCTION Calculus, which is one of the foremost branches of Mathematics, studies about the rates of changes. It was invented by Isaac Newton and Gottfried Leibniz in the latter half ...

Image Inpainting Using Mathematical Algorithms
Example essay. Last modified: 18th May 2020
Introduction: Image Inpainting – Filling in the gaps. Abstract Inpainting is the process of rebuilding lost or damaged parts of images and videos. Image inpainting, also called hole filling...

Mathematical Modelling Report
Example essay. Last modified: 18th May 2020
Introduction: Scientific problems are approached by building ‘models’. Not little cardboard models, but models made from mathematical tools. We can play with the symbolic models and adjust them until they ...

Math and Its Influence on Renaissance Warfare
Example essay. Last modified: 8th Feb 2020
Introduction:  At the turn of the 14th century, there is a societal shift that can be portrayed as a transition from darkness to light. From the fall of the Rome Empire to the beginning of the 14th Centur...

Is Complete Certainty Achievable in Mathematics?
Example essay. Last modified: 8th Feb 2020
Introduction: Prescribed Title: Mathematicians have the concept of rigorous proof, which leads to knowing something with complete certainty. Consider the extent to which complete certainty might be achievable ...

Overview of Game Theory and its Applications
Example essay. Last modified: 8th Feb 2020
Introduction: Introduction Game theory consists of seven aspects: players, action, strategies, information, utility, outcome and equilibrium. Participants in all game models of game theory are defined...

Math ISU on Tower of Hanoi
Example essay. Last modified: 8th Feb 2020
Introduction: Introduction – The Legend In 1833, Edouard Lucas, a French Mathematician, has created a game puzzle and named it Tower of Hanoi (Bogomolny, n.d., para. 1). In truth, the inspiratio...