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Book details
Author : Isidore Isaac Hirschman
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Pages : 192 pages
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Publisher : Dover Publications 2014-10-15
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Language : English
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ISBN-10 : 0486789756
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ISBN-13 : 9780486789750
Book Synopsis
This text for advanced undergraduate and graduate students presents a rigorous approach that also emphasizes applications.
Encompassing more than the usual amount of material on the problems of computation with series, the treatment offers many
applications, including those related to the theory of special functions. Numerous problems appear throughout the book.The first chapter
introduces the elementary theory of infinite series, followed by a relatively complete exposition of the basic properties of Taylor series and
Fourier series. Additional subjects include series of functions and the applications of uniform convergence; double series, changes in the
order of summation, and summability; power series and real analytic functions; and additional topics in Fourier series. The text concludes
with an appendix containing material on set and sequence operations and continuous functions.