An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Problems in Mathematical Analysis I: Real Numbers, Sequences and Series

W. J. Kaczor Marie Curie-Sklodowska University, Lublin, Poland
M. T. Nowak Marie Curie-Sklodowska University, Lublin, Poland
Available Formats:
Softcover ISBN: 978-0-8218-2050-6
Product Code: STML/4
List Price: $57.00 Individual Price:$45.60
Electronic ISBN: 978-1-4704-2124-3
Product Code: STML/4.E
List Price: $57.00 Individual Price:$45.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $85.50 Click above image for expanded view Problems in Mathematical Analysis I: Real Numbers, Sequences and Series W. J. Kaczor Marie Curie-Sklodowska University, Lublin, Poland M. T. Nowak Marie Curie-Sklodowska University, Lublin, Poland Available Formats:  Softcover ISBN: 978-0-8218-2050-6 Product Code: STML/4  List Price:$57.00 Individual Price: $45.60  Electronic ISBN: 978-1-4704-2124-3 Product Code: STML/4.E  List Price:$57.00 Individual Price: $45.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$85.50
• Book Details

Student Mathematical Library
Volume: 42000; 380 pp
MSC: Primary 00; 40;

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.

Also available from the AMS are Problems in Mathematical Analysis II and Problems in Analysis III in the Student Mathematical Library series.

• Problems
• Chapter 1. Real numbers
• Chapter 2. Sequence of real numbers
• Chapter 3. Series of real numbers
• Solutions
• Chapter 1. Real numbers
• Chapter 2. Sequences of real numbers
• Chapter 3. Series of real numbers

• Reviews

• 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
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 42000; 380 pp
MSC: Primary 00; 40;

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.

Also available from the AMS are Problems in Mathematical Analysis II and Problems in Analysis III in the Student Mathematical Library series.

• Problems
• Chapter 1. Real numbers
• Chapter 2. Sequence of real numbers
• Chapter 3. Series of real numbers
• Solutions
• Chapter 1. Real numbers
• Chapter 2. Sequences of real numbers
• Chapter 3. Series of real numbers
• 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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.