Uploaded January 2023 | Updated September 2026, 1 day ago
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 - amzn.to/3MDHUis
Maxwell Rosenlicht - Introduction to Analysis - amzn.to/3NFYiAC
Tom Apostol - Mathematical Analysis 2nd Edition - 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 youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Introduction to Control Theory youtu.be/0v4WFmOm764
//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:
epidemicsound.com/referral/644nao
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: 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!
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 - amzn.to/3MDHUis
Maxwell Rosenlicht - Introduction to Analysis - amzn.to/3NFYiAC
Tom Apostol - Mathematical Analysis 2nd Edition - 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 youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Introduction to Control Theory youtu.be/0v4WFmOm764
//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:
epidemicsound.com/referral/644nao
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: 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!
