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Mastering the Art of Reading Proofs: By Example

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    • The Real Analysis Survival Guide   The Analyticity of the Laplace transform    • Morera's Theorem in Practice - Laplac...   Introduction to Control Theory    • Introduction to Control Theory   //Music Provided by Epidemic Sound Between the Lines - Elijah N Beach Memories - Sum Wave bam. bam. - Yomoti Step it up - Riverworm Future Vibes - Qeeo Quixotic - Jobii Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel: https://www.epidemicsound.com/referra... //Recording Equipment Canon SL3: https://amzn.to/3nZ11KU Canon T6i: https://amzn.to/3FUpkQh Rode VideoMic: https://amzn.to/3lhldGa Blue Yeti Microphone: https://amzn.to/3I1y88N Yeti Nano Microphone: https://amzn.to/3I1mriA SanDisc 256GB SD Card: https://amzn.to/3E3LOOr Neewer 5600K USB LED Lights: https://amzn.to/3xvB9cN Neewer 18 inch Ring Light: https://amzn.to/2ZvgCsc Camera Power Adapter: https://amzn.to/3D3upUu DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!