Introductory Real Analysis for Beginners and Experts

[@sophiaisabelle027]

We appreciate your insights. Keep making an impact on the community.

[@samrubenabraham6979]

I just got a PDF copy of it and glanced through it. And I will say, it rightfully deserves to be called a legendary book. Period.

[@surajpowar4915]

I just want to take a moment and admire that you are going to be 1M soon. I have been following you since you had like a couple of thousands of subs. I am happy for you. ❤

[@chasefoxen]

Someday I hope I can take some time to really study this book. I've heard people often use it as a text for graduate analysis or as a companion. If you have any books on the calculus of variations I'd love to see them. I know Fomin was a coauthor with I.M. Gelfand on a well known variational calculus book from Mir Publishers. It is dense, just the first chapter alone gave me enough of the theory for many applied variational problems.

[@BlueHue-thecelestialblue]

Sounds like a great book, but clearly high level. Probably a good alternative to Baby Rudin, but not for simpler books like the first one by Terence Tao or Elon's Análise Real(which are great first courses in Analysis).

[@MathwithMing]

This book is great but it is much more advanced than baby Rudin. For example, the real number system is discussed thoroughly in baby Rudin but not here. The title "Introductory Real Analysis" is not the original title. The direct translation of the original book title from Russian is "Elements of the Theory of Functions and Functional Analysis", which in my opinion is much more appropriate. It's a great sequel to baby Rudin and for those who wishes to dig deeper into analysis, but not for beginners

[@MathMajor-r1q]

First time i hear Elon's been mentioned here, are you brazilian? You find Rudin's book more advanced than the one by Elon?

[@BlueHue-thecelestialblue]

@@MathMajor-r1q Yes I am. There is more than one Elon book, but the most used one "Análise Real - Funções de uma variável" is significantly easier than "baby" Rudin.

[@MathMajor-r1q]

@@BlueHue-thecelestialblue yeah, get It. Im Brazilian too, im taking a real analysis course this semester, but we're using that thick one, Curso de Análise.

[@joef4309]

This book is an introduction to linear functional analysis. It almost assumes you know Analysis on R. It’s a great reference, but not a good book to learn analysis from if you’re new to the subject. The authors develop a lot of theory in the exercises so it’s easy to miss a lot. I would go with Kreyszig for this topic.

[@045ladyM]

I really love your videos ❤

[@alejandroromansanchez5368]

Yo lo tengo, esta muy genial. Muy formal

[@declanfarber]

The Russian intelligentsia back in the 60’s were really good at math (and other STEM subjects like shooting off rockets etc) because they didn’t have any other distractions. (It was like living in a tomb, to quote someone quite famous at the time.) “Let’s build socialism together!” Corollary: this is a really good math book, it’s a pleasure that it’s still in print. But like the Landau & Lifschitz physics series, it can be somewhat unforgiving. ;^)

[@erickleuro8690]

I echo the comment by @joef4309. This is not a book on Real Analysis but on Functional Analysis instead, which assumes you already have RA. If you were going to use it w/o having RA, it could be deceiving because it's so well written that it gives you the impression you understand what's going on but, yes, you could be missing a lot of fine, subtle and important points, and risking to develop a shaky foundation. Also, I wish The Math Sorcerer had elaborated a bit more on the chapters of Linear Functionals and Linear Operators (5 and 6) which are where the "entree of the book" takes places. Really good stuff

[@davesnowdon3869]

The Cosmic Doctrine by Dion Fortune does this with pictures.

[@Mebro-m6d]

4:25 I just remembered that my country removed sets from 9th grade...

[@AmeanAbdelfattah]

I saw this book in my college library today, $1.

[@dhritivibes]

Can u please make video on the resources/books for catching up the missed maths in Highschool

[@ClumpypooCP]

Please cover more books on abstract algebra!

[@joshux3210]

Math Sorcerer are you familiar with nonstandard analysis? Would you recommend learning this without standard analysis? My current background is only calculus.

[@fanalysis6734]

I don't think anyone would recommend learning non standard analysis before analysis.

[@avaragefan7595]

Hey idk if you will read this comment, but what do you think about the Brazilian ITA math questions?

[@Corredephd]

Boa pergunta

[@brianchoi4542]

This is a great book.

[@user-lu6yg3vk9z]

Is there a way to contact you?

[@probasteelchiquitoahorapro1490]

santa hear me out