/sci/ - Science & Math » Thread #12435694

19KiB, 602x468, harmonic.png

View Same Google iqdb SauceNAO

Best Books on Real Analysis

Anonymous Tue 08 Dec 18:37:32 2020 No.12435694 View Reply Original Report

Quoted By: >>12435900 >>12438257 >>12438264

What are the best textbooks on Real Analysis?
It would be helpful if it was relatively cheap to buy as I like physical books over pdfs.

Anonymous

Anonymous Tue 08 Dec 2020 19:01:07 No.12435825 Report

Quoted By: >>12439026

The three Rudin texts are the most celebrated, starting from Principles of Mathematical Analysis

Anonymous

Anonymous Tue 08 Dec 2020 19:03:07 No.12435844 Report

Quoted By:

pugh, rudin, zorich, apostol, folland, lieb&loss, royden, etc etc

Anonymous

Anonymous Tue 08 Dec 2020 19:15:13 No.12435900 Report

Quoted By:

>>12435694
do you mean "measure theory, banach spaces etc." analysis, or "rigorous calculus" analysis?

Anonymous

Anonymous Wed 09 Dec 2020 00:36:03 No.12438257 Report

Quoted By:

>>12435694
Clapp if you speak Spanish, fucking great book.
Dieudonné if you speak french.
I guess Rudin is alright

Anonymous

Anonymous Wed 09 Dec 2020 00:37:22 No.12438264 Report

Quoted By:

>>12435694
More like Fake Analysis lol

Anonymous

Anonymous Wed 09 Dec 2020 00:38:28 No.12438268 Report

Quoted By: >>12438309

which ones of those are good for graduate-level introduction?

Anonymous

Anonymous Wed 09 Dec 2020 00:47:33 No.12438309 Report

Quoted By:

>>12438268
there are like 3 rudins that are called baby, daddy and grandfather respectively based off difficulty heh; though honestly i would suspect that at that stage it depends more on your choice of subject and taste as to what book to choose

Anonymous

Anonymous Wed 09 Dec 2020 00:50:04 No.12438322 Report

Quoted By:

Are the open sets in $$l_1$$ open in $$l_2$$ ?

Anonymous

Anonymous Wed 09 Dec 2020 04:28:08 No.12439026 Report

Quoted By:

>>12435825
Why do I feel like this is a leddit mame

Anonymous

Anonymous Wed 09 Dec 2020 07:16:48 No.12439376 Report

Quoted By:

Real Mathematical Analysis by Pugh and Analysis on Manifolds by Munkres is what I used. The exercises in Munkres are pretty easy so I'd recommend supplementing with Spivak's Calculus on Manifolds.

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches