This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and much more. Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.
Here's a sample of other books in this Dover category
Chebyshev and Fourier Spectral Methods: Second Revised Edition by John P. Boyd Completely revised text applies spectral methods to boundary value, eigenvalue, and time-dependent problems, but also covers cardinal functions, matrix-solving methods, coordinate transformations, much more. Includes 7 appendices and over 160 text figures.
An Introduction to Lebesgue Integration and Fourier Series by Howard J. Wilcox, David L. Myers Undergraduate-level introduction to Riemann integral, measurable sets, measurable functions, Lebesgue integral, other topics. Numerous examples and exercises.
Fourier Series, Transforms, and Boundary Value Problems: Second Edition by J. Ray Hanna, John H. Rowland This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. It emphasizes basics and techniques rather than theory and includes exercises with solutions. 1990 edition.
An Introduction to Fourier Series and Integrals by Robert T. Seeley This compact guide emphasizes the relationship between physics and mathematics, introducing Fourier series in the way that Fourier himself used them: as solutions of the heat equation in a disk. 1966 edition.
Boundary Value Problems and Fourier Expansions by Charles R. MacCluer Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 1994 edition. Includes 64 figures. Exercises.
Fourier Series and Orthogonal Polynomials by Dunham Jackson This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Includes Pearson frequency functions, Jacobi, Hermite, and Laguerre polynomials, more.1941 edition.
