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Infinite Series: Expanded Intergalactic Version!: Dover Books on Mathematics

Autor Isidore Isaac Hirschman
en Limba Engleză Paperback – 30 oct 2014
This text for advanced undergraduate and graduate students begins with a discussion of the basics of infinite series and advances to Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. An appendix includes material on set and sequence operations and continuous functions.
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Specificații

ISBN-13: 9780486789750
ISBN-10: 0486789756
Pagini: 173
Dimensiuni: 150 x 226 x 10 mm
Greutate: 0.23 kg
Editura: Dover Publications
Seria Dover Books on Mathematics


Textul de pe ultima copertă

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.
Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1962.
See every Dover book in print at
www.doverpublications.com