We talk about how to read a proof of a theorem in Rudin's Principles of Mathematical Analysis (i.e. Baby Rudin). We show that positive n-th roots of positive reals exists and are unique.
//Books
Walter Rudin - Principles of Mathematical Analysis 3rd Edition - https://amzn.to/3MDHUis
Maxwell Rosenlicht - Introduction to Analysis - https://amzn.to/3NFYiAC
Tom Apostol - Mathematical Analysis 2nd Edition - https://amzn.to/3mwxFlC
//Exercises
- Can you show that if t is a positive real number less than 1, then its sequence of powers forms a decreasing sequence?
//Watch Next
The Real Analysis Survival Guide https://youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform https://youtu.be/FIMkbFQL6XM
Introduction to Control Theory https://youtu.be/0v4WFmOm764
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