This text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. It begins by establishing the quotient structure theorem or fundamental principle of Fourier analysis, and then focuses on applications to partial differential equations. The final section explores functions and their role in Fourier representation. Problems. 1970 edition. Unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1970.
Here's a sample of other books in this Dover category
Riemann’s Zeta Function by H. M. Edwards Superb study of the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude" traces the developments in mathematical theory that it inspired. Topics include Riemann's main formula, the Riemann-Siegel formula, more.
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.
