I just finished taking a year-long undergraduate analysis sequence. The texts I used for this sequence were the first eight chapters of Rudin's PMA (everything before multivariable calculus) and Spivak's Calculus on Manifolds, as well as a little bit of my professor's lecture notes on differential forms and Green's, Gauss's, and Stoke's theorems. I am also thinking of taking the graduate-level analysis sequence (Text: W. Rudin's "Real and Complex Analysis"). Whether I take the graduate-level sequence or not, I think it would be a good idea for me to review and do more problems from the undergraduate analysis sequence again, and I was wondering if there is any good textbook for me to read over this summer. I can certainly read Baby Rudin again, but I also heard a good stuff about C. Pugh's "Real Mathematical Analysis," and I was wondering if this is an appropriate text for me to read over this summer. Let me know if there is any other good textbook.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Text for Analysis Review

**Physics Forums | Science Articles, Homework Help, Discussion**