Problems in Mathematical Analysis, Volume 3

W.J. Kaczor, M.T. Nowak

ISBN 10: 0821832980 / ISBN 13: 9780821832981

Published by American Mathematical Society, US, 2003

About this Item

The best way to penetrate the subtleties of the theory of integration is by solving problems. This book, like its two predecessors, is a wonderful source of interesting and challenging problems. As a resource, it is unequaled. It offers a much richer selection than is found in any current textbook. Moreover, the book includes a complete set of solutions. This is the third volume of ""Problems in Mathematical Analysis"". The topic here is integration for real functions of one real variable.The first chapter is devoted to the Riemann and the Riemann-Stieltjes integrals. Chapter 2 deals with Lebesgue measure and integration. The authors include some famous, and some not so famous, inequalities related to Riemann integration. Many of the problems for Lebesgue integration concern convergence theorems and the interchange of limits and integrals. The book closes with a section on Fourier series, with a concentration on Fourier coefficients of functions from particular classes and on basic theorems for convergence of Fourier series.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. ""Problems in Mathematical Analysis I and II"" are available as Volumes 4 and 12 in the AMS series, ""Student Mathematical Library"".

Seller Inventory # LU-9780821832981

Bibliographic Details

• Title: Problems in Mathematical Analysis, Volume 3
• Publisher: American Mathematical Society, US
• Publication Date: 2003
• Language: English
• ISBN 10: 0821832980
• ISBN 13: 9780821832981
• Binding: Paperback
• Condition: New
• Dimensions: 13.97W x 1.91H x 20.96D centimeters 13.97 centimeters width by 1.91 centimeters height by 20.96 centimeters depth
• Weight: 424 grams

About this title

Synopsis

A supplement to undergraduate and undergraduate textbooks in mathematical analysis. The third volume in the series focuses on the Riemann-Stieltjes integral and the Lebesgue integral for real functions of one real variable. The first half contains the problems, and the second the solutions and explanations. Annotation (c) Book News, Inc., Portland, OR (booknews.com)

Review

From reviews for Volumes I and II: A valuable resource. -- American Mathematical Monthly