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Problems in Mathematical Analysis, Volume 2

Continuity and Differentiation

W.J. Kaczor (author) M.T. Nowak (author)

ISBN: 9780821820513

Publication Date: May 2001

Format: Paperback

Helps in the understanding of continuous and differentiable functions. This book emphasises on real functions of a single variable. It contains topics that include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, and sequences and series of functions.
£52.50

Temporarily out of stock: usually despatched in 10-14 days

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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. The 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".

Reviews

A very stimulating problem book ... a useful supplement to any graduate textbok in mathematical analysis MAA Online
Pages 416
Date Published 30 May 2001
Publisher American Mathematical Society
Series Student Mathematical Library
Series Part No. 12
Subject/s Calculus & mathematical analysis   Real analysis, real variables  
Problems: Limits and continuity Differentiation Sequences and series of functions Solutions: Limits and continuity Differentiation Sequences and series of functions Bibliography Index.

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