# Mathematics

## Maths zero and other Abstract Numbers – Yes

This question really highlights the true science of mathematics. Yes, it is very useful- we can calculate practical real-life problems such as how much a bag of apples costs, or even the distance from the earth to the moon. But…

## Understanding the Mathematical Subject Abstract Algebra

Abstract Algebra has to do with systems of algebraic equations. Beginning Abstract Algebra is based on the book Euclid’s Elements. The Euclidean Algorithm and Euclid’s proof that the prime numbers are infinite are important. The Euclidean Algorithm is a method…

As a math teacher, I like to perform several math tricks for my students, as well as friends and family. Many common tricks are based on properties of integers, and order of operations. These are nice, but can become stale…

## Monoids Groups Rings and Fields

Abstract algebra, now commonly referred to as just “algebra,” is a field in mathematics which concerns itself with algebraic structures such as rings, groups, fields, vector spaces, and algebras. These structures bear importance in mathematical physics; for example, quantum mechanics…

## Division by zero is it really Impossible – No

Technically, division by zero is “undefined”, not impossible. In other words, no one has offered an (acceptable) definition for the possibility. As a result, for most quantitative purposes division by zero is prohibited. Calculators and math gods alike run into…

## Distributed Computing is Searching for the Largest Prime Number

The largest prime number ever discovered is (2^57,885,161)-1. It was discovered on January 25, 2013, as of the date of the writing of this article (May 6, 2013). It won the \$100,000 prize awarded by the Electronic Frontier Foundation. It…

## Difference between Trigonometry and Geometry

Mathematics can be divided into three big branches. They are algebra, geometry and arithmetic. Geometry talks about shapes, size, position and space. Trigonometry is a subset of geometry. Trigonometry just involves triangle shapes. Although it can be used in other…

## Box Plot Basics

The Box-Plot, also known as the box and whisker plot, is a graphical method of displaying five descriptive statistics: the median, the upper and lower quartiles, and the minimum and maximum data values. First created by John Tukey in a…

## Box and Whisker Plots

Box plots are an informative way to display a range of numerical data. It can show many things about a data set, like the lowest term in the set, the highest term in the set, the median, the upper quartile,…

## Biography Emilie Du Chatelet

Émilie du Châtelet, full name Gabrielle Émilie Le Tonnelier de Breteuil, Marquise du Châtelet, was born on the seventeenth of December, 1706, in Paris. She was an Enlightenment-age physicist, mathematician and author. Châtelet was one of six children, and the…