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Infinite Series
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.
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.
Reprint of the Holt, Rinehart & Winston, New York, 1962 edition.
mathematics, calculus, math textbook, educational supplement, applied math, application, theory of special functions, problem sets, elementary theory, taylor series, fourier series, series of functions, uniform convergence, double series, summability, power series, real analytic functions, set and sequence operations, continuous functions, undergraduate and graduate students, advanced math, science and math;Series, Infinite; Taylor Series; Fourier Series; Power Series; Real Analytic Functions$5.23
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Description
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.
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.
Reprint of the Holt, Rinehart & Winston, New York, 1962 edition.
mathematics, calculus, math textbook, educational supplement, applied math, application, theory of special functions, problem sets, elementary theory, taylor series, fourier series, series of functions, uniform convergence, double series, summability, power series, real analytic functions, set and sequence operations, continuous functions, undergraduate and graduate students, advanced math, science and math;Series, Infinite; Taylor Series; Fourier Series; Power Series; Real Analytic Functions
