Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Rating:
Summary: content OK, but problems with the typo density...
Review: (...) First let me remark that talking about content, the book is very good. It contains elegance, rigor and the explanations seem OK. The problem however with the book is the typo density of most of the proofs. Some long proofs are presented as one continuous block without even no linefeed in between the facts. This makes some parts of the book rather uncomfortable to study from. I can 't stop starting to read these beautifull theory, but mostly, after one hour I give up, because "my eyes start dancing" ....
Tip for the author and editor : take exactly the same text, but spread it over 600 pages instead of 350 pages. This will make the book more expensive, but I will definitely buy it..

Rating:
Summary: content OK, but problems with the typo density...
Review: Browder's book is a great text for serious study of analysis at the beginning level. The coverage is similar to Rudin's "Principles of MA", and it is a worthy successor of it. It is a book for mathematicians, so don't even dare to open it if you are looking for the usual 'calculus for dummies' course. Proofs are usually the most concise and elegant ones, being in the tradition of Rudin again. But the treatment of analysis on manifolds is more standard, just as the construction of Lebesgue measure and integration. Only drawbacks: sticking to real variable and omitting complex numbers on most subjects (even in power series!), and the ominous presence of the usual chapter on Riemann integral. You may buy Rudin or this, and you'll be doing a great investment.

Rating:
Summary: impossibly dense
Review: The title says it. The book is great if you're reading it and you already understand the subject matter, for it contains an encyclopedic reference for basic analyis, topology, and manifolds. But, if you've never studied anyone of theese topics, then it flat out sucks. Try doing the chapter on topology just reading the chapter on topology. Its verydifficult, and just makes your eyes water over. It sucks. There exists better books on analysis. I'm not sure about measure theory and other books, for this is the only one i've read. However, if you're looking to learn manifolds, (the last 4 chapters) buy Munkres' Analysis on Manifolds. Its a million times better and with many pictures. Browder has a total of 5 illustrations in the entire book!
Save the headache, get a different book.

Rating:
Summary: If I could, I would hypnotize you and make you buy this book
Review: This is the best book for Stoke's Theorem. The machinery of the Lebesgue integral is used to simplify the integration on manifolds theory. This is very nice and very not ad hoc.

voo de voo de vooooo....I am hypnotizing you......voo de voo......You must buy this book....vooooo.....book good....voo de voo de voo....better than Calculus on Manifolds....voo de voooo....