## When nothing is everything in Set theory

In an earlier post, I discussed the basic and most important aspects of Set theory, Functions and Real Number System. In the same, there was a significant discussion about the…

In an earlier post, I discussed the basic and most important aspects of Set theory, Functions and Real Number System. In the same, there was a significant discussion about the…

Algebra and Topology Math
September 20, 2013

Sequence of real numbers A sequence of real numbers (or a real sequence) is defined as a function $ f: \mathbb{N} \to \mathbb{R}$ , where $ \mathbb{N}$ is the set…

Algebra and Topology Math Real Analysis Science Study Notes
August 12, 2013

SETS In mathematics, Set is a well defined collection of distinct objects. The theory of Set as a mathematical discipline rose up with George Cantor, German mathematician, when he was…

Algebra and Topology Math Real Analysis Study Notes
August 10, 2013

Here is an interesting mathematical puzzle alike problem involving the use of Egyptian fractions, whose solution sufficiently uses the basic algebra. Problem Let a, b, c, d and e be…

Algebra Algebra and Topology Math Number Theory Problems Recreations
July 20, 2013

The greatest number theorist in mathematical universe, Leonhard Euler had discovered some formulas and relations in number theory, which were based on practices and were correct to limited extent but…

Algebra and Topology Math Number Theory Recreations Study Notes
March 26, 2013

“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

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