**Student Mathematical Library**

Volume: 12;
2001;
398 pp;
Softcover

MSC: Primary 00;
Secondary 26

**Print ISBN: 978-0-8218-2051-3
Product Code: STML/12**

List Price: $57.00

Individual Price: $45.60

**Electronic ISBN: 978-1-4704-1821-2
Product Code: STML/12.E**

List Price: $57.00

Individual Price: $45.60

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# Problems in Mathematical Analysis II: Continuity and Differentiation

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*W. J. Kaczor; M. T. Nowak*

We learn by doing. We learn mathematics by doing problems. And we learn more
mathematics by doing more problems. This is the sequel to

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.

#### Readership

Undergraduates, graduate students, and instructors interested in analysis.

#### Reviews & Endorsements

As with the first volume, the book is of great help for problem seminars and also for self-study … The book can be recommended for libraries and for students.

-- European Mathematical Society Newsletter

A very stimulating problem book … The style … is proven to be a motivating approach in constructing and conveying mathematical knowledge … leads the readers to find new solutions and hence boosts their ability to carry out further research … thorough coverage of some topics that are covered very briefly in other compatible books … of interest to anyone who wishes to pursue research in mathematical analysis and its applications … also excellent for students who want to enhance their skills in real analysis … a useful supplement to any graduate textbook in mathematical analysis … some problems are also suitable for undergraduate students.

-- MAA Online

#### Table of Contents

# Table of Contents

## Problems in Mathematical Analysis II: Continuity and Differentiation

- Cover Cover11 free
- Other titles in this series i2 free
- Title page v6 free
- Contents vii8 free
- Preface xi12 free
- Notation and terminology xiii14 free
- Part I. Problems 116 free
- Limits and continuity 318
- Differentiation 3752
- Sequences and series of functions 8196
- Part II. Solutions 109124
- Limits and continuity 111126
- Differentiation 211226
- Sequences and series of functions 317332
- Bibliography 393408
- Index 397412 free
- Back Cover Back Cover1418