Analysis Textbook like Zorich

Question

I'm an undergraduate student currently studying mathematical analysis.

Our professor uses Zorich's Mathematical Analysis, but I found the text too difficult to understand.

After exploring some textbooks, I found that Abbott was easier to follow, so I studied Abbott until I realized that there's a significant amount of content in Zorich that Abbott doesn't cover.

So I was wondering if there's a book out there that covers as much content as Zorich but is more readable?

Thank you for any help.

Perhaps Courant and John's multi-volume Introduction to Calculus and Analysis — , Dec 03 '19 at 02:23

score 2 · Answer 1 · answered Jun 12 '20 at 03:34

2

Herbert Amann's analysis which has three volumes is more detailed than zorich's analysis.However, I think it is too difficult to read.

answered Jun 12 '20 at 03:34

UESTCfresh

622

score 1 · Answer 2 · answered Dec 03 '19 at 02:13

You may find Rudin's analysis texts Principles of Mathematical Analysis and Real and Complex Analysis to be useful, although various analysis textbooks will cover slightly different material.

A discussion related to Zorich/Rudin/Abbott can be found here.

score 0 · Answer 3 · answered Feb 06 '21 at 13:02

0

True that Zorich is difficult to understand. BUT I still think if you go through with it, you will learn a lot in the end. However, I think there’s also an other book you could consider about, which is Mathematical Analysis written by Apostol.Or, consider Courant’s book. They are both good books. Good luck!

answered Feb 06 '21 at 13:02

Grothendix

1

By "Courant's book", did you mean Courant & John's "Introduction to Calculus and Analysis" Volumes I and II? (The latest Springer reprint is split into 3 books, with Volumes I, II/1, and II/2). – Chris Watson Aug 23 '22 at 12:25

Analysis Textbook like Zorich

3 Answers3