## 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…

## The Area of a Disk

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

## Triangle Inequality

Triangle inequality has its name on a geometrical fact that the length of one side of a triangle…

## Numbers – The Basic Introduction

If mathematics was a language, logic was the grammar, numbers should have been the alphabet. There are many…

## Everywhere Continuous Non-differentiable Function

Weierstrass had drawn attention to the fact that there exist functions which are continuous for every value of…

## Free Online Calculus Text Books

Once I listed books on Algebra and Related Mathematics in this article, Since then I was receiving emails…

## D’ ALEMBERT’s Test of Convergence of Series

Statement A series $\sum {u_n}$ of positive terms is convergent if from and after some fixed term…

## Dirichlet’s Theorem and Liouville’s Extension of Dirichlet’s Theorem

Topic Beta & Gamma functions Statement of Dirichlet’s Theorem \$ \int  \int  \int_{V}  x^{l-1} y^{m-1} z^{n-1} dx  dy…