Book synopsis 2014 Reprint of 1962 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. The present volume is an introduction to Fourier series and their use in solving boundary value problems of mathematical physics. The text treats expansions in Fourier series, general orthogonal expansions, convergence of Fourier series, operations with Fourier series, double Fourier series, Fourier integrals and transforms, Bessel functions and Fourier-Bessel series, the eigenfunction method and its use in solving boundary value problems of mathematical analysis, applications to vibrating systems and heat flow problems. Every chapter moves clearly from topic to topic and theorem to theorem, with many theorem proofs given. A total of 107 problems will be found at the ends of the chapters, including many specially added to this English-language edition, and answers are given at the end of the text. Tolstov was one of the foremost mathematicians of the former Soviet Union.

Related An Introduction to Information Theory, Symbols, Signals and Noise (Dover Books on Mathematics) Ordinary Differential Equations (Dover Books on Mathematics) Introduction to Graph Theory (Dover Books on Mathematics) Probability Theory: A Concise Course (Dover Books on Mathematics) Introduction to Topology: Third Edition (Dover Books on Mathematics) Advanced Calculus (Dover Books on Mathematics) Vector and Tensor Analysis with Applications (Dover Books on Mathematics) Introductory Real Analysis (Dover Books on Mathematics) Linear Algebra (Dover Books on Mathematics)

Book of Abstract Algebra (Dover Books on Mathematics)

Introduction to Graph Theory (Dover Books on Mathematics) · Probability Theory: A Concise Course (Dover Books on Mathematics) · Introduction to Topology: ...

#### Recommend Documents

Fourier series
Fourier series in an interval of length i2. Even Function. Odd Function. Convergence of Fourier Series: â¢ At a continuous point x = a, Fourier series converges to ...

Fascinating Fourier Series
Nov 30, 2007 - by M.R. Spiegel. Using these formulae, any periodic function can be expressed in terms of its Fourier series expansion. We use these definitions to deduce some interesting mathematical series in the following sections. Using the Fourie

Fourier series Vacuum Maxwell's equations.
3 First order vacuum solution with Fourier series. 4. 3.1. Basic solution in terms of undetermined coefficients. . . . . . . 4. 3.2. Solution as time evolution of initial field. . . . . . . . . . . . . . 5. 3.3. Prettying it up? Questions of commutat