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Problems in Mathematical Analysis III

By addebook • Jul 14th, 2008 • Category: Mathematics      Get in Amazon

Problems in Mathematical Analysis III (Student Mathematical Library,)


Problems in Mathematical Analysis III (Student Mathematical Library,)
By W. J. Kaczor, N. T. Nowak


Publisher: American Mathematical Society
Number Of Pages: 368
Publication Date: 2003-09-01
ISBN-10 / ASIN: 0821832980
ISBN-13 / EAN: 9780821832981
Binding: Paperback

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.


Summary: AN IMITATION OF DEMIDOVICH
Rating: 5

THE WHOLE SERIES IS SIMILAR TO THE TRHEE VOLUME DEMIDOVICH BOOK, WHICH I CALL

THE KING OF ALL MATHEMATICAL PROBLEMS!!!!!!!!!

Problems in Mathematical Analysis (Hardcover)
by g. yankovsky (Translator), B. Demidovich (Author
Publisher: mir publisher; 4th Printing edition (1976)
ASIN: B000GTC2GA

YET DEMIDOVICH IS MORE COMPREHENSIVE AND COVER MORE MATERIALS. GREAT FOR PUTNAM ATHLETES!

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  1. [...] graduate level Real Analysis. Highly recommended for econ/math/physics majors. «Previous Problems in Mathematical Analysis III Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series (Student Mathematical [...]

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