## Light the bulb: An everyday logic puzzle

You are inside a room and there are exactly three electric bulbs outside of the room. The three…

## When nothing is everything in Set theory

In an earlier post, I discussed the basic and most important aspects of Set theory, Functions and Real…

## Hopalong Orbits Visualizer: Stunning WebGL Experiment

Just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using…

## Real Sequences

Sequence of real numbers A sequence of real numbers (or a real sequence) is defined as a function…

## Smart Fallacies: i=1, 1= 2 and 1= 3

This mathematical fallacy is due to a simple assumption, that \$ -1=\dfrac{-1}{1}=\dfrac{1}{-1}\$ . Proceeding with \$ \dfrac{-1}{1}=\dfrac{1}{-1}\$ and…

## Set Theory, Functions and Real Number System

Sets In mathematics, Set is a well defined collection of distinct objects. The theory of Set as a…

## Four way valid expression

People really like to twist the numbers and digits bringing fun into life. For example, someone asks, “how…

## Interesting Egyptian Fraction Problem

Here is an interesting mathematical puzzle alike problem involving the use of Egyptian fractions, whose solution sufficiently uses…

## Getting Started with Measure Theory

Last year, I managed to successfully finish Metric Spaces, Basic Topology and other Analysis topics. Starting from the…

## Happy Holi! : The Village Tour

Holi, the festival of colors, was celebrated this year on 27th and 28th of March all over India.…

## Euler’s (Prime to) Prime Generating Equation

The greatest number theorist in mathematical universe, Leonhard Euler had discovered some formulas and relations in number theory,…

## Irrational Numbers and The Proofs of their Irrationality

“Irrational numbers are those real numbers which are not rational numbers!” Def.1: Rational Number A rational number is…