Principles of Mathematical Analysis, Third Edition | 
| Author: Walter Rudin
Publisher: McGraw-Hill Science/Engineering/Math
Category: Book
Buy Used: $75.00
New (22) Used (38) from $75.00
Avg. Customer Rating:  90 reviews
Sales Rank: 8278
Media: Hardcover
Edition: 3rd
Number Of Items: 1
Pages: 325
Shipping Weight (lbs): 1.2
Dimensions (in): 9 x 6.1 x 0.8
ISBN: 007054235X
Dewey Decimal Number: 517
EAN: 9780070542358
ASIN: 007054235X
Publication Date: January 1, 1976
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Condition: Hardcover and almost like new. Very clean on all pages. 3rd edition.
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Product Description
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
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| Customer Reviews: Read 85 more reviews...
 Great, but not for self-study September 2, 2008
Imagine that some intelligent aliens have landed on earth and demand to know how far human beings have progressed in mathematics? You may want to start them off with Rudin. This book is a model of how to convey mathematics economically and precisely.
But for those learning the subject for the first time, the book falls short in providing the required motivation and linkages. Unless these are provided by a very good teacher, those studying from this book are likely to come away with a very formal and unintuitive understanding of the subject.
One antidote against this may be reading about the history of analysis to better appreciate how the foundational concepts of the subject evolved. Two books I can recommend for that purpose are The Calculus Gallery: Masterpieces from Newton to Lebesgue and Lebesgue's Theory of Integration: Its Origins and Development (AMS Chelsea Publishing Series) (Ams Chelsea Publishing Series).
Also, multivariate calculus is not best learnt from this book. Better treatments can be found in Murkres' Analysis on Manifolds and in Spivak's classic Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus.
A Great Analysis Book of Rigor May 17, 2008
I had to grow to like this book. After looking through it several times, I had realised that Rudin is not so bad. He has a lot of challenging exercises. I am still trying to find solutions to some today even after using this text in a course. I do not like chapters 10 and 11 too much though. I think Rudin should have done a better job.
 Decent book, but dry April 10, 2008
0 out of 1 found this review helpful
I'll preface this by saying I'm an engineer. I thought engineering books were dull, but this book is even worse. That said, it has all the important theorems and their proofs, but no fluff whatsoever. So if you want just the facts this book would be for you.
 Fundamental October 14, 2007
Having now got to measure and integration, the only comment that can be made about this text is that it is fundamental if you want to move to this level. There is no better analysis text.
The Pinacle of Introductory Analysis March 12, 2007
4 out of 4 found this review helpful
Walter Rudin's book barely needs introduction at this point. It has gained a reputation as the best text anywhere for an introduction to real analysis, and is the gold standard for many first year graduate courses in the subject. Rudin's work is a masterpiece of style and form, and his presentation is second to none. Care has been taken with every proof to make it as elegant as possible. The selection of problems typically ranges from those requiring a few minutes thought, to the fantastically difficult.
Therein does lie one of the two problems with this book, however. Occasionally Rudin relegates an important--and useful--result to the exercises where it could be overlooked by the unwary. There are some sections where more examples aimed at getting a student to practice applying fundamental concepts would be useful, instead of making them bend over backwards to find an answer.
The only other problem, which is often brought up as a criticism of the book, is that Rudin is often perhaps a bit too terse in his exposition between proofs. There isn't always a strong motivation given for a topic, which makes this book a difficult one to learn from without a good instructor.
Overall, it would be hard to do better than the so-called "baby" Rudin book. The price tag is a little steep for something so slender, but the content inside can easily outshine any other 3 similar texts in the area. This is an absolute must own for any aspiring analyst.
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