Mathematics Essays

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Maths Teaching Guide: Geometrical Constructions

12 Geometrical Constructions You know using various instruments of the geometry box-ruler, compass, protractor, divider, set square etc. construction of lines and angles. construction of...

Maths Teaching Guide: Algebraic Expressions

6 Algebraic Expressions You know to write the terms, coefficients and factors of an algebraic expression. to classify an algebraic expression as monomial,...

Cracking Ciphers Through Mathematics

Math Exploration: Cracking different Ciphers Rationale From the ancient times to the modern day cryptography has played an important role in our lives. This mathematics exploration is...

Overview of Famous Mathematicians

Mathematicians’ Manifesto A young man who died at the age of 32 in a foreign land he had travelled to, to pursue his craft. A...

History of Mathematics

180 BC Hypsicles: Number Theory Hypsicles was born in 190 B.C. in Alexandria Egypt. He was a mathematician and astronomer. He wrote the “Anaphorikos” or...

Applications of Mathematics in Real Life

Applications of Mathematics in Real Life Situations 1.0 Application of Matrices Matrix concepts can be applied in various fields such as: Quantum...

Application of Matrices in Real-Life

Application of matrix in daily life Matrices are used much more in daily life than people would have thought. In fact it is in front...

Introduction to Sacred Geometry

By Arthur Simoes Introduction      in keeping with historic cultures, outstanding scientists, brilliant minds of philosophy and religion. knows geometry is aware of the universe,...

Solving Large Systems of Linear Simultaneous Equations

NICOLE LESIRIMA METHODS OF SOLVING LARGE SYSTEMS OF LINEAR SIMULTANEOUS EQUATIONS PROJECT DESCRIPTION Linear systems simulate real-world problems using applied numerical procedure. The main aim of this...

Symmetry and Group Theory in Relation to Wallpaper Groups

Mark Anderson 1.1 Group Theory Group Theory was derived from three other areas of mathematics, number theory, the theory of algebraic equations and...

Partitioning Methods to Improve Obsolescence Forecasting

Amol Kulkarni Abstract- Clustering is an unsupervised classification of observations or data items into groups or clusters. The problem of clustering has...

Elementary Number Theory

Bernard Opoku qCarl Friedrich Gauss, born into a poor working class family in Brunswick, now lower Saxon, Germany and died in Gottingen, Germany. He was...

Statistics with Aviation Application

Christopher Wright  A. Type ofstatistical testyou planto conduct(check one, and giverelevantdetails)  1-sample t-test a) Target population: b) Research variable: c) Research question: d) Expected result:  matched pairs t-test a) Target...

Computable Numbers: The Turing Machine

Louise Scupham This essay will explore the Turing machine and its relationship with computable numbers and an introduction to real numbers of various types. I...

Hopf Algebra Project

Petros Karayiannis Chapter 0 Introduction Hopf algebras have lot of applications. At first, they used it in topology in 1940s, but...

Number of Folds in Paper: Thickness of Earth to Sun

Calculating the number of folds and the hypothetical size of a piece of paper so that its thickness equates to the distance from the...

Rook Polynomials and Chess

Introduction Chess is a complex strategical board game. The board on which the game is played is an eight by eight grid. Each player begins...

Euler's Totient Theorem

Summary    Euler Totient theorem is a generalized form of Fermat's Little theory. As such, it solely depends on Fermat's Little Theorem as indicated in...

Cost Analysis using Quantity Discounts

Cost Analysis using quantity discounts for time dependent demand and varying holding cost R.P. Tripathia* and Shweta Singh Tomarb aDepartment of Mathematics, Graphic Era University, Dehradun...

Tower of Hanoi - Solutions

Introduction The Tower of Hanoi is a puzzle popularized in 1883 by Edouard Lucas, a French scientist famous for his study of the Fibonacci sequence....

Lagrange Multipliers in Mathematics

Lagrange multipliers arise as a method for maximising (or minimising) a function that is subject to one or more constraints. It was invented by...

Impact of the Aztec Mathematical System

How the Aztec Mathematical System Came to be and Contributed to us Today by Destiny Harrison, Delaney Garcia, Jaysiya Norman, Jewel Samson, Raquel Cruz,...

Impacts of the Imaginary Number on Mathematics

Mathematics was man's first approach to understanding the world around them since the beginning of humanity. The study grew with history in various forms...

Basics of Topological Solutons

Research into topological solitons began in the 1960s, when the fully nonlinear form of the classical field equations, were being thoroughly explored by mathematicians...

Difference of Squares of Two Natural Numbers

One of the basic arithmetic operations is finding squares and difference between squares of two natural numbers. Though there are various methods to find the...

The History of Algebra

The dissertation will discuss about history of algebra, which is one of most important branch of arithmetic, the founder of algebra, meanings of algebra...

Rate Of Convergence In Numerical Analysis

In numerical analysis, the speed at which a convergent sequence approaches its limit is called the rate of convergence. Strictly speaking, a limit does not...

Laplace Transform Example

Abstract: This paper describes the Laplace transform used in solving the differential equation and the comparison with the other usual methods of solving...

The Fencing Problem | Mathematics Problem

The Fencing Problem. A farmer has exactly 1000 metres of fencing and wants to fence off a plot of level land. She is not concerned about...

Nature And Structure Of Mathematics

Chapter 2 Literature review In this chapter, literature related to mathematics confidence, reflection and problem- solving are reviewed. The chapter begins with an...

Direct and iterative method

INTRODUCTION TO DIRECT AND ITERATIVE METHOD Many important practical problems give rise to systems of linear equations written as the matrix equation Ax = c,...

What Is Algebra?

Algebra is a branch of mathematics, as we know maths is queen of science, it plays vital role of developing and flourishing technology,...

Patterns Within Systems Of Linear Equations

The purpose of this report is to investigate systems of linear equations where the systems' constants have mathematical patterns. The first system to be considered is...

Construction Of Real Numbers

All mathematicians know (or think they know) all about the real numbers. However usually we just accept the real numbers as 'being there' rather...

Priemgetallen

Voorwoord Het stond vast, ons onderwerp werd priemgetallen. Onze kennis in verband met priemgetallen reikte niet verder dan "de getallen die deelbaar zijn door 1 en...