This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition. Unabridged republication of the edition published by The Mathematical Association of America, Oberlin, Ohio, 1941.
Here's a sample of other books in this Dover category
Fourier Series by Georgi P. Tolstov 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, more. Over 100 problems. 1962 edition.
Fourier Series and Orthogonal Functions by Harry F. Davis An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.
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.
Fourier Analysis in Several Complex Variables by Leon Ehrenpreis Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.
