Broadly organized around the applications of Fourier analysis, "Methods
of Applied Mathematics with a MATLAB Overview" covers both classical
applications in partial differential equations and boundary value
problems, as well as the concepts and methods associated to the Laplace,
Fourier, and discrete transforms. Transform inversion problems are also
examined, along with the necessary background in complex variables. A
final chapter treats wavelets, short-time Fourier analysis, and
geometrically-based transforms. The computer program MATLAB is
emphasized throughout, and an introduction to MATLAB is provided in an
appendix. Rich in examples, illustrations, and exercises of varying
difficulty, this text can be used for a one- or two-semester course and
is ideal for students in pure and applied mathematics, physics, and
engineering.