Real Analysis Textbooks - What are the Best Options?

AI Thread Summary
When planning to learn real analysis, several textbooks are recommended. "Baby Rudin" is frequently mentioned, with mixed reviews; while some find it concise and suitable for professional analysts, others consider it challenging and less accessible for beginners. Michael C. Reed's text is noted as a decent option, and Riesz and Nagy are also mentioned positively. For those interested in a deeper exploration of metric spaces and functional analysis, Dieudonné's "Foundations of Modern Analysis" is suggested, although it does not cover measure theory. The discussion highlights the varying interpretations of real analysis, with some focusing on measure and integration, while others consider limits and metric spaces.
SeReNiTy
Messages
170
Reaction score
0
I'm planning to learn real analysis in the up and coming holidays, anybody have any good suggestions on which textbooks will be useful?

I've heard good comments about Baby Rudin, is this true?
 
Physics news on Phys.org
michael c. reed's text was a decent real analysis book IMHO
 
i found baby rudin to be very concise and hard to learn from. i like riesz nagy, but i am not an expert. friends of mine who are experts use wheeden and zygmund.
 
i guess i do not know what you mean by real analysis on second thought. i am assuming you mean measure and integration, but some people just mean limits and metric spaces, which is what baby rudin suggests to me.

professional analysists mdo like baby rudin, so you mgiht try it to see if you are one opf them. i disliekd it myself. if your idea of fun is treating a real number as a dedekind cut, be my guest.

another excellent book is dieudonne's foundations of modern analysis for metric spaces, banach and hilbert spaces, and real and complex calculus in that setting. no measure theory though but it is a wonderful book.
 
Last edited:

Thread '"WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians'

The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
View full post »

Thread 'Books with a more theoretical approach to turbulence and DNS'

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
View full post »

Similar threads

Analysis Is Baby Rudin a good choice for first my Real Analysis textbook?
Replies
9
Views
5K
Real Analysis Textbook Recommendation
Replies
2
Views
3K
Analysis Real Analysis (Baby Rudin vs Apostol)
Replies
4
Views
4K
Relativity Looking for a good introductory Tensor Analysis Textbook
Replies
8
Views
3K
Analysis Which Math Textbook is Best for Preparing for Real Analysis?
Replies
1
Views
1K
Good introductory book on statistical/data analysis?
Replies
6
Views
3K
Analysis Study plan for Functional Analysis - Recommendations and critique
Replies
13
Views
4K
Analysis on Selecting the Real Analysis textbooks
Replies
3
Views
4K
Analysis Best books and papers for classical "hard" analysis tricks
Replies
1
Views
2K
Analysis What are the best introductory books for real analysis?
Replies
7
Views
4K

Hot Threads

Recent Insights

Back
Top