## 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

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