I don't think that I am alone out here. Your take on the books and the grand area of Analysis in math are valuable and appreciated. At the moment, it seems that more people are taking an interest in some type of Modern Analysis by self study than any other area of math, and the bits of info that you weave in and out of the book reports is helpful. Thanks. #7
@navierstokes2356
2 жыл бұрын
I'd truly recommend Axler's Measure, Integration and Real Analysis. I can't believe how good that book is!
@H3XED_OwO
3 ай бұрын
i'm currently reading Terence Tao's "Analysis 1" (third addition) and it's an easy read and is great for beginners
@JoelRosenfeld
2 жыл бұрын
I have such fond memories of Folland. Great textbook.
@sanjursan
Жыл бұрын
I watched the youtube video of Mary Rudin on Topology, with much intersection of course with Real Analysis. She had an astounding and comprehensive understanding of the subject, and delivered the lecture in such a warm and humorous way. Is there any more of her stuff available? Anyone else think she was superior to her husband, Walter?
@ihamad1463
2 жыл бұрын
Thank you
@rickdoesmath3945
2 жыл бұрын
thanksss
@be_smart3
3 жыл бұрын
I discovered this channel some time ago. Are you Prof. Stefano? :D
@cultofpythagoras5336
3 жыл бұрын
Nope, I'm Evan. Nice to meet you! Hopefully going to make some new videos soon.
@chandansur6028
Жыл бұрын
thank you so much.also make a video for functional analysis too.
@McRingil
3 жыл бұрын
What you think of Understanding Analysis?
@cultofpythagoras5336
3 жыл бұрын
By Abbot? Its good, maybe a more streamlined version of Baby Rudin. If my memory is correct, it won't introduce you to measure theory or Lebesgue integration at the level you need for more advanced topics. But if you've never done an advanced calculus class before, Abbot is a great place to start before moving on to anything more complicated
@McRingil
3 жыл бұрын
@@cultofpythagoras5336 o thank you, I see it introduces the generalized Riemann integral
@gilloon9964
2 жыл бұрын
@@cultofpythagoras5336 the best textbooks between calculus and real/mathematical analysis textbooks are the “ transition “ textbooks! After this you read books like : Fitzpatrick , “ Advanced calculus” and Klambauer , “Aspects of Calculus”after this , you read : Protter and Morrey , A first course in Real Analysis “ , and after this book, you read: Rudin , “ Mathematical Analysis “ and Stromberg, “ Introduction to classical Real Analysis “ , and now you are ready for: Wheeden and Zygmund, “Measure and Integral “ ; Folland , “ Real Analysis “ ; Royden , “ Real Analysis “ , Rudin , “ Real and Complex Analysis “ , Barry Simon ,” Real Analysis “ part 1.
@antoniomantovani3147
3 жыл бұрын
Royden was the first good book long time ago, now 4Ed 2009 it's even better....(cap 3... 6 are a must) But still maybe a bit Repetitive and some theorems given as exercises whiteout solutions Stein it's better sometimes and sometimes not Rudin it's different and usefull Folland too very good like Stein more or less and some sections excellents By the way are all good and maybe the best books Zygmund dear its out? Was a great book too
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