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This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject. This text is part of the Walter Rudin Student Series in Advanced Mathematics.… (more)
User reviews
I normally don't review books that already have this many reviews, especially when I agree so much with the reviews that already exist. But I'm teaching out of green Rudin for the first time this semester, 20 years after getting to know the book well as a student, and I find myself so
Probably all our reviews are irrelevant, however, because there are probably very few discretionary purchases of this book: There will be nearly a one-to-one correspondence between buyers of the book and students in classes for which it is required. For them, I can only recommend skipping the outrageously expensive hardback (which even at its high price is pretty cheaply constructed nowadays) and opting for the more reasonable international paperback edition.