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Real Analysis

A collection of 3 posts
Area of circle

On length of curves and area of figures

Prof. Rajeeva L. Karandikar of the Chennai Mathematical Institute gave a talk on 06th December, 2020 on “Length of curves and area of figures“. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future webinars are available
Dec 6, 2020
The Vocabulary of Mathematical Analysis
Brahmagupta

The Vocabulary of Mathematical Analysis

1. Introduction The English word “vocabulary” refers to the “list of words” used in communicating one’s thought (or knowledge) to the others, and the English word “analysis” refers to the “resolution into simple elements”. Hence, according to the English dictionary, the “vocabulary of analysis” should refer to the list
Nov 9, 2012 8 min read
Weirstrass' M-Test
Real Analysis

Weirstrass' M-Test

We shall state and prove a very important result in Real Analysis called the Weirstrass’ M-Test. The statement of the theorem is given below. Let be a sequence of positive real numbers such that for , . If the series is convergent, then is uniformly convergent on . We prove the result as
Nov 30, 2011 2 min read
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