Infinite Series

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Infinite Series by Isidore Isaac Hirschman, Dover Publications
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Author: Isidore Isaac Hirschman ISBN: 9780486798240
Publisher: Dover Publications Publication: August 18, 2014
Imprint: Dover Publications Language: English
Author: Isidore Isaac Hirschman
ISBN: 9780486798240
Publisher: Dover Publications
Publication: August 18, 2014
Imprint: Dover Publications
Language: English

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.

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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.

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