**What Is the Mandelbrot Set and How Is It Constructed?**

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...*

# Mathematics Essays

The essays below were written by students to help you with your own studies.

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#### Mathematics Essays Page 1

**Biography and Impact of Charlotte Angas Scott**

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...*

**Writing Across the Curriculum in Mathematics**

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**

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**

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**

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 ...*

**Payment Time Confidence Interval Case Study**

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...*

**How Can Integral Calculus Be Derived and Applied to Find the Volumes and Surface Area of Complex Three-dimensional Objects?**

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...*

**To What Extent Is the Acquisition of New Mathematical Knowledge Based on the Need to Solve Problems?**

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...*

**Unepected Mathematics: Benford's Law and Other Surprising Distributions**

18th May 2020**Introduction:** *
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...*

**Mathematical Modelling of Swimming World Records**

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...*

**Mathematical Modelling Report**

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 ...*

**Image Inpainting Using Mathematical Algorithms**

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...*

**Calculus and Quadratic Formula to Determine Lengths**

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 ...*

**Extant Egyptian Mathematical Texts**

8th Feb 2020**Introduction:** *
There are only a handful of Egyptian mathematical texts that are still in existence today. It is amazing how these ancient texts can survive for thousands of years so we can continue to stu...*

**Is Complete Certainty Achievable in Mathematics?**

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 ...*

**Math ISU on Tower of Hanoi**

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...*

**Overview of Game Theory and its Applications**

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 and Its Influence on Renaissance Warfare**

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...*

**Notion of Induction and Recursion in Mathematics and Computer Science**

8th Feb 2020**Introduction:** *
Explain the relationship between the notion of induction in mathematics and the notion of recursion in computer science
Introduction:
In order to explain the re...*

**Relationship Between Sociocultural Diversity and Mathematics**

8th Feb 2020**Introduction:** *
The word that can simply describe the study of the interrelationship between culture and mathematics is ethnomathematics. In the late nineties, ethnomathematics was more related to the study of m...*

**Mathematical Modeling of Diseases: Varicella Infection Rates**

23rd Sep 2019**Introduction:** *
To what extent can varicella be eradicated with the usage of vaccines?
Mathematical Modeling of Diseases: Varicella Infection Rates
Table of Contents:
Introduct...*

**Derivation and Geometry of the Catenary Curve**

23rd Sep 2019**Introduction:** *
Mathematics SL
Derivation and Geometry of the Catenary Curve
Table of Contents
Introduction
1
The Catenary Curve
...*

**How does the jump of a horse affect its performance in showjumping competitions?**

23rd Sep 2019**Introduction:** *
How does the jump of a horse affect its performance in showjumping competitions?
1.0 Rationale:
In this Math IA,...*

**Mathematical Basis of Big Bang Cosmology**

23rd Sep 2019**Introduction:** *
How did the universe begin?
Table of Contents:
Abstract…………………………………………………………………………………………...*