## Real Sequences

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

- byGaurav Tiwari
- May 7, 2018

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

- byGaurav Tiwari
- September 14, 2014

This mathematical fallacy is due to a simple assumption, that $ -1=\dfrac{-1}{1}=\dfrac{1}{-1}$ . Proceeding with $ \dfrac{-1}{1}=\dfrac{1}{-1}$ and…

- byGaurav Tiwari
- May 7, 2018

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

- byGaurav Tiwari
- December 17, 2016

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

- byGaurav Tiwari
- October 1, 2014

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

- byGaurav Tiwari
- January 8, 2018

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

- byGaurav Tiwari
- March 28, 2015

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

- byGaurav Tiwari
- December 21, 2017

Ramanujan (1887-1920) discovered some formulas on algebraic nested radicals. This article is based on one of those formulas.…

- byGaurav Tiwari
- April 5, 2014

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

- byGaurav Tiwari
- January 7, 2014

Multiplication is probably the most important elementary operation in mathematics; even more important than usual addition. Every math-guy…

- byGaurav Tiwari
- January 30, 2018

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

- byGaurav Tiwari
- December 17, 2016

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

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