# Category: Real Analysis

## Real Sequences

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

## 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 …

## Set Theory, Functions and Real Number System

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

## Getting Started with Measure Theory

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

## Irrational Numbers and The Proofs of their Irrationality

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

## The Area of a Disk

If you are aware of elementary facts of geometry, then you might know that the …