# Category: Algebra and Topology

Posts and Articles on Algebra, Metric Spaces and Topology

## When nothing is everything in Set theory

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

## Real Sequences

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

## Set Theory, Functions and Real Number System

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

## Interesting Egyptian Fraction Problem

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

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

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

## Irrational Numbers and The Proofs of their Irrationality

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