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## AM GM Inequality, Euler Number – Stories in Real Analysis

A.M.- G.M. Inequality can be used to prove the existence of Euler Number. In this discussion, we venture into the fascinating journey from classical inequalities to modern real analysis. Watch the video A short code in Python to check boundedness of a classical...

## Lets invent Euler Number!

Why should we study real analysis? Once you are inside the first course of this beautiful subject, you will find hundreds of complicated theorems and formulas floating around the canvas. What makes this journey into rigorous deductive reasoning interesting is: we get...

## Stories in Real Analysis – Inverse Maps

Inverse maps are very important in Real analysis. They form the backbone of the definition of continuity. Subscribe to our Youtube Channel...

## Why is it interesting to laminate a genus-2 surface?

We are interested to understand the structure of a group G (is it abelian, or a product of abelian groups, or a free group of some kind etc.). In general, this is a (very) hard question. One strategy is to let G act on some well known (topological) space. Often by...