## 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 a real number which can be expressed in the form of where…

“Irrational numbers are those real numbers which are not rational numbers!” Def.1: Rational Number A rational number is a real number which can be expressed in the form of where…

Algebra Algebra and Topology Calculus Math Number Theory Real Analysis Recreations Study Notes
February 14, 2012

If you are aware of elementary facts of geometry, then you might know that the area of a disk with radius $ R$ is $ \pi R^2$ . The radius…

Calculus Geometry Math Real Analysis Recreations Study Notes
January 27, 2012

Triangle inequality has its name on a geometrical fact that the length of one side of a triangle can never be greater than the sum of the lengths of other…

Calculus Complex Analysis Complex Numbers Geometry Math Real Analysis Recreations Study Notes
January 20, 2012

Ramanujan (1887-1920) discovered some formulas on algebraic nested radicals. This article is based on one of those formulas. The main aim of this article is to discuss and derive them…

Algebra Calculus Math Number Theory PHP Problems Recreations Research Study Notes
December 30, 2011

If mathematics was a language, logic was the grammar, numbers should have been the alphabet. There are many types of numbers we use in mathematics, but at a broader aspect…

Calculus Complex Numbers Math Number Theory Study Notes
November 21, 2011

Weierstrass had drawn attention to the fact that there exist functions which are continuous for every value of $ x$ but do not possess a derivative for any value. We…

Calculus Complex Analysis Math Real Analysis Study Notes
July 7, 2011

Once I listed books on Algebra and Related Mathematics in this article, Since then I was receiving emails for few more related articles. I have tried to list almost all…