What is Mathematics?

In this video I talk about an amazing book written by two legendary mathematicians. The book is called "What is Mathematics?" and it was written by Richard Courant and Herbert Robbins. I talk about various sections in this book and spend a lot of time talking about the Mathematical Analysis of Infinity. We discuss why there are just as many numbers in (0, 1) as there are real numbers. We also discuss why the rational numbers are countable and the real numbers are uncountable. I also go over the proof that (0,1) is uncountable(it's a beautiful proof by contradiction). Other topics explored in this video include continued fractions, deformations in topology, etc. This book covers A LOT of mathematics and I only briefly touch on some of the topics in this video.

This is the book on amazon: https://amzn.to/3u7Ye4G
The pencils I use in the video: https://amzn.to/3yr5MCs
The paper I use in the video: https://amzn.to/3QLferc
(the links above are my affiliate links)

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