A textbook for a graduate course on solving differential equations for students in a wide range of scientific disciplines who have completed an elementary course in computer methods and have been exposed to Fourier series and complex variables at the undergraduate level. The first edition was publi

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, spherical and cylindrical geometry, and more. Includes 7 appendices and over 160 text figures.