- Hardcover: 352 pages
- Publisher: McGraw-Hill Higher Education; 3 edition (1 Feb 1976)
- Language English
- ISBN-10: 007054235X
- ISBN-13: 978-0070542358
- Product Dimensions: 23.6 x 15.7 x 1.9 cm
- Average Customer Review: 4.0 out of 5 stars See all reviews (27 customer reviews)
- Amazon Bestsellers Rank: 743,101 in Books (See Top 100 in Books)
- See Complete Table of Contents
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Product Description
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.
Book 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
Most Helpful Customer Reviews
10 of 10 people found the following review helpful
Format: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.
6 of 6 people found the following review helpful
Format:Hardcover
I was terrified by this text my freshman year in college. Unfortunately, this book was the only required book for the class. The main difficulty is that the book resembles a magnificent outline of the material more than a text. The shortest, most elegant proof of anything is invariably choosen and there is little motivation given for the material. Thus, I found this book to be difficult to use to learn how to do mathematics. On the other side, if you know the basic ideas of analysis, then this book is a remarkable, clear, and elegant place to review and extend your knowledge. I therefore would HIGHLY recommend it as a companian text for an analysis course or as a reference. My rating therefore is an average: as an introduction to analysis by itself, it rates one star; as a supplement to another text, as a review text, or as a reference, it clearly rates five stars.
3 of 3 people found the following review helpful
Format:Hardcover
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. It was never intended to be an easy book. But those who complain that the book lacks pictures are missing the point. The point of the book is to LEARN analysis. Rudin's book is excellent for this: you have to understand the theorems, definitions, and proofs, otherwise it's nonsense. If one takes the time to understand how all the statements follow from each other, then one will have truly learned analysis, and that is really the point.
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Most Recent Customer Reviews
Little in size, wide in scope
This book is popularly called the Little Rudin, compared to the Big Rudin which deals with more advanced topics in mathematical analysis. Read more
Published 10 months ago by Silvio C.
Great review text
If not an introductory text, it is certainly a great review text.
1st year mathematics is heavily focused on grounding the student in mathematical analysis. Read more
1st year mathematics is heavily focused on grounding the student in mathematical analysis. Read more
Published 17 months ago by Warwick/IC Maths graduate
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 on 12 Nov 2008 by Snowy White
useful and pocket-sized
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... Read more
Published on 15 Oct 2001
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
Use an easier analysis book first!
Please don't "learn it yourself" from rudin. I recommend books by Bryant, Stirling, and Eccles for the learning of analysis. Read more
Published on 5 Sep 1999
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
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 July 1999
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 July 1999
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
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