Real Analysis for Measure, Probability, and Functional Analysis - Ash

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Timestamps:
0:00 Positive Qualities of the Book/Contents
2:46 Target Audience and Comparison to Binmore
3:21 Chapter 1
5:22 Chapter 6
6:58 Two Playlists
7:54 Professor Ash's Other Book
8:54 What you might not like about the book
10:27 "Premium" or modern books vs older books

[MathematicalToolbox]

Don't forget to like, comment, and subscribe if you found the video helpful!
We also have Amazon affiliate links if you want to help support the channel!
Thanks to @isaiadriel4643 for pointing out that many of Professor Ash's books are available online for free on his website:

I apologize for anyone's comments that I have not replied to on the channel. I will reply to them soon!

[Edward-zwld]

The Dover series review sounds very interesting Kudos

[isaiadriel]

Great video, great book, also freely available on internet

[chet]

Your camera work for these videos is getting better. You're evolving into an awesome youtuber.

[farhanniazi]

Finally! Someone has made a video on Ash’s book. His books are very underrated and he did a great service for students looking to self learn mathematics. I have almost all of his books. I like his analysis book but i do prefer some of the shorter proofs from Rudin.
Regardless, its a great supplement!

I also recommend looking up “a primer on analysis” by Alan Sultan for a first book on analysis (has solutions to almost all problems)

[WarriorStatue]

I find this a great second book on analysis after Abbott's or Ross'.

[SabrinaMarquez-rwxb]

I am currently doing point-set topology and find it fun.

My analysis course didn’t cover metric spaces much at all. It was just epsilon shenanigans on the set of real numbers. Darboux sums were covered though. The book was Ross’s Elementary Analysis. Okay, not too easy or hard, just sort of intermediate.

Also, on book price, screw paying $150+ for a copy of Bartle and Sherbert. Some analysis textbooks are way too expensive and that’s a tragedy.

[erickleuro]

Thank you Mathematical Toolbox for bringing our attention to this book. I will check it out. Since this book by Professor Ash is your favorite Dover Analysis Book, what is your take on "Intro to Real Analysis" By Kolmogorov and Fomin?