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Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics)
 
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Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) (Paperback)

by Walter Rudin (Author)
3.9 out of 5 stars See all reviews (25 customer reviews)
RRP: £43.99
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Customers buy this book with REAL & COMPLEX ANALYSIS 3E (5P (McGraw-Hill International Editions: Mathematics Series) by Walter Rudin

Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) + REAL & COMPLEX ANALYSIS 3E (5P (McGraw-Hill International Editions: Mathematics Series)
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Customer Reviews

25 Reviews
5 star:
 (12)
4 star:
 (4)
3 star:
 (5)
2 star:
 (2)
1 star:
 (2)
 
 
 
 
 
Average Customer Review
3.9 out of 5 stars (25 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

 
8 of 8 people found the following review helpful:
5.0 out of 5 stars A start in math., 21 Sep 2004
By Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
(TOP 500 REVIEWER)    (REAL NAME)   
This review is from: Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) (Hardcover)
I am a fan of Rudin's books. This one "Principles of Matheamtical Analysis" has served as a standard textbook in the first serious undergraduate course in analysis at lots of universities in the US, and around the world.

The book is divided in the three main parts, foundations, convergence, and integration. But in addition, it contains a good amount of Fourier series, approximation theory, and a little harmonic analysis.

I loved it when I was a student, and since then I have taught from it many times. It has stood the test of time over almost three decades, and it is still my favorite. I have to admit that it is not the favorite of everyone I know.

What I like is that it is concise, and that the material is systematically built up in a way that is both effective and exciting.

The exercises and just at the right level. They can be assigned in class, or students can work on them alone. I think that is good, and the exercises serve well as little work-projects. This approach to the subject is probably is more pedagogical as well.

I think students will learn things that stay with them for life.

Review by Palle Jorgensen.

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7 of 7 people found the following review helpful:
4.0 out of 5 stars useful and pocket-sized, 15 Oct 2001
By A Customer
I was recommended this book for my maths degree and I can honestly say that it's really useful. A good broad overview of analysis, with lots of exercises to assist your understanding of unfamiliar concepts. Starting with basic notions of metric and building upon them, through algebraic systems, differentiation, integration, partial differentiation and finishing with a small chapter on the Lebesgue integral.

My only real gripe with this book was that it did not have enough operator theory in it. (I would recommend Simmons 'Intro to topology and modern analysis' (same series) or Kreyzig's 'Intro to functional analysis' (Wiley Classics) for operator theory.)

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7 of 8 people found the following review helpful:
3.0 out of 5 stars Use an easier analysis book first!, 5 Sep 1999
By A Customer
This review is from: Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) (Hardcover)
Please don't "learn it yourself" from rudin. I recommend books by Bryant, Stirling, and Eccles for the learning of analysis. Those are user friendly books with nice explainations. Only use Rudin once you have learned some analysis and proof. Moreover, the price is a joke. Rudin will be at your library so I recommend borrowing before buying. The other reviewers who gave it such bad reviews are probably mad because they didn't use these other user friendly books first and then switch to rudin. thank you.
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Most Recent Customer Reviews

2.0 out of 5 stars It's really not that good
I can only concur with the reviewers who point out how bad this is to actually sit down and read. I had it recommended as a second text on real analysis, primarily for the... Read more
Published 8 months ago by Snowy White

5.0 out of 5 stars A great text if you know the contents
Rudin wrote three texts on analysis, none of them is easy, they are widely used because professors like them for their "style". Read more
Published on 14 Dec 1999

5.0 out of 5 stars A true classic, one that everyone should study.
For years, Dr. Rudin's book has been a standard introductory analysis text because of its wonderful, elegant exposition. It is not an easy book. Read more
Published on 4 Sep 1999

3.0 out of 5 stars a good reference book
This text is horrifying to learn from yet once you know the material (by way of another text), this is an excellent reference book. Read more
Published on 1 Aug 1999

3.0 out of 5 stars Poor introduction, Outstanding reference
I was terrified by this text my freshman year in college. Unfortunately, this book was the only required book for the class. Read more
Published on 21 Jul 1999

4.0 out of 5 stars Es un libro que necesita desglosarse mucho.
La parte de sucesiones me parece un tanto superficial, me gusta la forma que ve la compacidad y sobre todo la definicion de la integral de Riemman-Stiljes, buen libro a nivel de... Read more
Published on 13 Jul 1999

1.0 out of 5 stars Not an introduction...
I can not understand why one teaches this book as a first course in analysis which's the thing usually done. Read more
Published on 9 Jul 1999

3.0 out of 5 stars Not Careful?
I had a problem with the fact that Rudin talks about integers and rationals without properly defining them. Read more
Published on 24 Jun 1999

4.0 out of 5 stars Too expensive
It is a good book, but too expensive. Be sure to check with other booksellers before buying. You might save a bundle.
Published on 29 May 1999

5.0 out of 5 stars It is a very good fundamental book for analysis
The exercises are very good and most of them are chanllengable. After reading this go to Real and Complex Anaysis book of the same author. Read more
Published on 28 May 1999

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