Problems in Mathematical Analysis II

By addebook • Jul 14th, 2008 • Category: Mathematics

Problems in Mathematical Analysis II (Student Mathematical Library, Vol. 12)

Problems in Mathematical Analysis II (Student Mathematical Library, Vol. 12)
By W. J. Kaczor, M. T. Nowak

Publisher: American Mathematical Society
Number Of Pages: 398
Publication Date: 2001-06
ISBN-10 / ASIN: 0821820516
ISBN-13 / EAN: 9780821820513
Binding: Paperback

We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. Topics include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, sequences and series of functions.

The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. It is also suitable for self-study. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.

This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). Also available from the AMS is Problems in Analysis III.

Summary: You need ONLY two problem books in Real Analysis
Rating: 5

In your undergrad math career or maybe early grad, you only need two books for the subject analysis. These two volume book is one. Contains many challenging problems that will satisfy your ambitious Putnam apetite.

THE KING OF ALL MATHEMATICAL PROBLEMS!!!!!!!!!

Problems in Mathematical Analysis (Hardcover)
by g. yankovsky (Translator), B. Demidovich (Author
Publisher: mir publisher; 4th Printing edition (1976)
ASIN: B000GTC2GA Should be called a comprehensive collection of problems in mathematical analysis (at undergraduate level). It’s theeee most comprehensive one out there.

While Kazac and Nowak’s books Problems in Mathematical Analysis have more hard problems (Putnam type), this one helps you build up the knowledge you need to understand advanced graduate level Real Analysis. Highly recommended for econ/math/physics majors.

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