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The Principles of Mathematical Analysis
by
Walter Rudin
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 ...more
Paperback, 3 , 342 pages
Published
February 1st 2006
by McGraw-Hill Publishing Company
(first published January 1st 1976)
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Joecolelife
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I am a beginning graduate student who learned real analysis over a decade ago from a different book, and decided to read Rudin and work through many of the exercises by way of review. In this context, I am happy to say that the book has been an absolute pleasure to read: it is a wonderfully efficient, clean presentation of the fundamentals with many good (sometimes quite tough) exercises to solidify understanding and introduce relevant related material.
Rudin's book is not a good place to st...more
Rudin's book is not a good place to st...more
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My textbook for Real Analysis. I've only read the first five or six chapters (up to differentiation), as those were the only topics we dealt with in Analysis I (Analysis II covers the second half). The textbook is well written, I think. It goes into very detailed proofs of the theorems in the text and the section about the construction of the reals was written in great depth. I thought it was an extremely useful book for the class. Also, the exercises were quite challenging (but that might just ...more
my god. this is the best mathematics book i've ever had a pleasure of using, even if it totally reduced my brain to oatmeal. don't let the size of the book deceive you (it's much smaller than most math textbooks.) it's incredibly terse, the problem sets are "fucking bullshit" (mind you, this is what me and my classmates would usually say after trying to attack a single problem for about a good couple of hours - but as "fucking bullshit" the problems were, they are pedagogi...more
Baby Rudin is one of the clearest introductory level analysis textbooks out there. The price might not be ideal (over a hundred dollars for a book the size of a DVD), but the directness of the proofs is fantastic. There is no fluff in this book.
Dave
marked it as to-read
Oh, what I would give to understand Rudin...
Actually, I determined a few years ago that I wasn't willing to make the necessary sacrifices. I guess I'll go through it in the afterlife.
Actually, I determined a few years ago that I wasn't willing to make the necessary sacrifices. I guess I'll go through it in the afterlife.
great summary of classical analysis... not so wonderful to learn from.
It's the classic. Terse, direct, clear, and horribly painful.
This was the text book for my real analysis course. I did not like this text book. I found it dense and hard to gain relevant information from it. Rudin optimized this book for the shortest proofs, and that isn't particularly useful for learning the material. Important results in Mathematics are given as exercises, which is cool, except that they are really hard, and there isn't enough material in the book to cover the problems.
I used this book to learn analysis upon arrival at UW. Rudin is a professor at UW. There is nothing unnecessary in this book! In this way it reminded me of Gallagher's stochastic processes book. Every detail counts. This is the kind of textbook I appreciate, because I have a hard time reading long-winded explanatory text when it comes to math and engineering.
'Baby Rudin' is to learning analysis as artificial insemination is to sexual reproduction. It's not good, it's not bad, and there are more fun ways of going about it, but at least it gets the job done.
We used this textbook in our graduate analysis class. A great book, as long as you pay attention. Rudin's writing style is terse: say just what needs to be said, and little more.
i'm not sure if there's a readable introduction to analysis out there, but this isn't it. good as a reference, though, and you can learn it from here if you have the time.
nice undergrad book on classical analysis, very challenging problems, lots of nice material, not too readable, but a great reference book
Shabnam
added it
نوشته:والتررودين
ترجمه:دكتر علي اكبر عالم زاده
كتاب جلد سبز رنگ
ترجمه:دكتر علي اكبر عالم زاده
كتاب جلد سبز رنگ
i really like dover books. this one is ok, its good to work the problems.
The least textbook-like textbook I've ever studied.
The best book of mathematical analysis.
Читаю по-русски.
Good problems
Lui
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