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.

Answer 1

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.

Answer 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.

Answer 3

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!