Problems in Mathematical Analysis II: Continuity and Differentiation: Continuity and Differentiation Vol 2 (Student Mathematical Library)

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9780821820513: Problems in Mathematical Analysis II: Continuity and Differentiation: Continuity and Differentiation Vol 2 (Student Mathematical Library)
Review:

A very stimulating problem book ... a useful supplement to any graduate textbok in mathematical analysis ( MAA Online )

From the Publisher:

This is the sequel to Problems in Mathematical Analysis I: Real Numbers, Sequences and Series (Volume 4 in the AMS series, the Student Mathematical Library). As in the first volume, this book is divided into two parts. The first is a collection of exercises and problems, and the second contains their solutions. The book mainly deals with real functions of one real variable. Topics include: properties of continuous functions, intermediate value property, uniform continuity, mean value theorems, Taylor's 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 material is designed to help student comprehension, to encourage them to ask their own questions, and to start research.The collection of problems in the book will also help teachers who wish to incorporate problems into their lectures. Solutions for most problems are provided.

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Descripción American Mathematical Society, 2001. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. 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. Nº de ref. de la librería 1006100125

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