Product Details

• Amazon Sales Rank: #43492 in Books
• Published on: 1976-09-01
• Original language: English
• Binding: Paperback
• 352 pages

Customer Reviews

A start in math.
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.

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 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.)

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. 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.