A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley begins with a physical problem and applies the results to different situations. 1966 edition.
Customer Reviews:
best intro to fourier series and fourier transforms everOctober 31, 2005 James Wilson(Burlington, Vermont) 12 out of 16 found this review helpful
Starts with the Dirichlet problem to physically motivate Fourier series. Works out the basic theory of Fourier series (Poisson, Dirichlet kernels, etc.). Then moves onto the line---again with physical motivation---and Fourier transforms, and analyzes the time-dependent heat equation.
