Problems in Mathematical Analysis III 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Problems in Mathematical Analysis III

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W. J. Kaczor 作者
American Mathematical Society
译者
2003-9-1 出版日期
368 页数
USD 51.00 价格
Paperback
Student Mathematical Library 丛书系列
9780821832981 图书编码

Problems in Mathematical Analysis III 在线电子书 图书标签: 数学  数学分析7  in  Problems  Mathematical  III  Analysis  AMS   


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Problems in Mathematical Analysis III 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Problems in Mathematical Analysis III 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Problems in Mathematical Analysis III 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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Problems in Mathematical Analysis III 在线电子书 著者简介

W. J. Kaczor: Marie Curie-Sklodowska University, Lublin, Poland,

M. T. Nowak: Marie Curie-Sklodowska University, Lublin, Poland


Problems in Mathematical Analysis III 在线电子书 图书目录


Problems in Mathematical Analysis III 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Problems in Mathematical Analysis III 在线电子书 图书描述

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.

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