Principles of Mathematical Analysis

Principles of Mathematical Analysis by Walter Rudin (aka “Little Rudin”)

using baby Rudin

I’m not saying Rudin covers all of that, but no one book does.

baby Rudin ("Principles of Mathematical Analysis") can be very good for a first course

Baby Rudin (Principles of Mathematical Analysis, Walter Rudin)

W. Rudin's, as I recall, third edition, Principles of Mathematical Analysis.

Agree, Rudin is excellent as a second course on real analysis, but as a first one it is absolutely terrible.

Came here to say Rudin.

Baby Rudin is indeed awesome.

Baby Rudin, Principles of Mathematical Analysis, was that book for me. It was that book for a lot of people

+1 for baby Rudin, while I wouldn't say it was THE book for me, it was certainly one that gave me a proper understanding of mathematical proofs

baby rudin

Pick a book. Say, Rudin's Principles of Mathematical Analysis[0].

Rudin, Principles of Mathematical Analysis, Third Edition.