We learn by doing. We learn mathematics by doing problems. This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study.

Each section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often several consecutive exercises are concerned with different aspects of one mathematical problem or theorem. This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided.

The book covers three topics: real numbers, sequences, and series, and is divided into two parts: exercises and/or problems, and solutions. Specific topics covered in this volume include the following: basic properties of real numbers, continued fractions, monotonic sequences, limits of sequences, Stolz's theorem, summation of series, tests for convergence, double series, arrangement of series, Cauchy product, and infinite products.

*"synopsis" may belong to another edition of this title.*

"A valuable resource." ---- American Mathematical Monthly

"Would be an ideal choice for tutorial or problem-solving seminars. The volume is also suitable for self-study ... presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research ... a really useful book for practice in mathematical analysis." ---- Zentralblatt MATH

"Belongs to the great tradition of Eastern European problem books ... if you love mathematics and are serious about understanding analysis, this book is a must." ---- MAA Online

*"About this title" may belong to another edition of this title.*

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Quantity Available: 2

Seller:

Rating

**Book Description **Book Condition: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-33565

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Quantity Available: 1

Seller:

Rating

**Book Description **Book Condition: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-63632

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Quantity Available: 1

Seller:

Rating

**Book Description **Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB63632

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Softcover
Quantity Available: 2

Seller:

Rating

**Book Description **Book Condition: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-33565

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Softcover
Quantity Available: 1

Seller:

Rating

**Book Description **Book Condition: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-63632

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Softcover
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society. Book Condition: New. Worldwide shipping. FREE fast shipping inside USA (express 2-day delivery also available). Tracking service included. Ships from United States of America. Bookseller Inventory # 0821820508

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
PAPERBACK
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society. PAPERBACK. Book Condition: New. 0821820508 New Condition. Bookseller Inventory # NEW7.0420757

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2000)

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **American Mathematical Society, 2000. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110821820508

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2000)

ISBN 10: 0821820508
ISBN 13: 9780821820506

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, 2000. Paperback. Book Condition: New. book. Bookseller Inventory # M0821820508

More Information About This Seller | Ask Bookseller a Question