A remarkable property of the mathematical world is that sometimes there are unexpected connections within different areas of the world of mathematics. Often, a mathematician will study one area of mathematics, realize there are direct correlations with the properties of another area of math, and connect the two to find […]

# Category: Mathematics

## Solving the Sudoku Using Integer Programming

A 9 X9 SUDOKU puzzle has the following rules. Every row and column should have the numbers between 1 and 9 and each of the inner boxes should have the numbers between 1 and 9. Each number in every column and row and in every small box should occur only […]

## Prime Numbers and Cyber Security

Would you like to see a nifty example of the way in which the world of mathematics can have unexpected ramifications on the world? You may be aware of the role that the special numbers e=2.718… , pi=3.14… , and the golden ratio Phi=1.618… , have in our world. It […]

## Learning Geometric Shapes at School for Spatial Understanding

Doing Geometry gives exercise to the mind and thus develops sharp mental abilities like creative thinking, visual imagination, analytical thinking, precise measurement and spatial sense. It activates both sides of the brain and gives much space for right brain activities. Knowledge in Geometry opens up avenues of career in civil […]

## Why We Can’t Divide By Zero

Sometimes in math class, we were told rules, like “we cannot divide by 0”, but did not go through the understanding for why these rules are true. Usually these rules are not arbitrary – they are completely natural, just as natural as the law of gravitation, or the way light […]

## An Understanding of Trigonometry Ratios Helps One Ace the Subject

Right from the early age, applications of Trigonometry were used in Astronomy and Geography. It has its vast use in navigation, land survey, measurement of height and distance. Learning Trigonometry is useful in real life situations as well. Trigonometry is used in other branches of Math like Calculus, Linear Algebra […]

## The Mathematics of the Rabbit Hole

You may have heard that Lewis Carroll, author of Alice’s Adventures in Wonderland, was also a mathematician and student of logic. What you may not know is that the Mad Hatter, one of the memorable characters in Alice, possibly went psycho from diving too deep into the world of mathematics. […]

## Group Theory, Symmetries, and Quantum Mechanics

In mathematics, we often find unexpected connections between a mathematical discovery and a real world phenomenon. One such example is the connection between the study of symmetry – in mathematical terms, we call this “group theory” – and quantum mechanics, ie: the way subatomic particles like electrons behave. Let’s explore […]

## Symmetry and Quantum Mechanics

Oftentimes we find that topics in theoretical mathematics, and real world phenomena, end up having unexpected connections. One example of this is the relationship between group theory – the study of symmetry – and quantum mechanics. Quantum mechanics examines the behavior of subatomic particles. Electrons, and other subatomic particles, do […]

## Common Difficulties in Math Doing and Ways to Conquer Them

Math is a subject applied in many other subjects and it has a relationship with almost all fields of life. Its usage is found in every corner of the world including fields like art, money, engineering, sports and architecture. The discoveries in mathematical field arose out of the needs of […]