Methods of Applied Mathematics with a MATLAB Overview is devoted to the applications of Fourier analysis; topics encompass the 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 covered, along with the necessary background in complex variables and Sturm-Liouville theory. The final chapter provides an examination of wavelets, short-time Fourier analysis, and geometrically-based transforms. The use of the computer program MATLAB has been integrated throughout the text, with particular emphasis on the program's numerical and graphing capabilities. Key topics and features: • Clear, consistent exposition with a strong focus on mathematical fundamentals and useful techniques • Extensive examples, illustrations, and modern applications • A variety of problems of wide-ranging difficulty, many with solutions • Numerous MATLAB exercises and routines, with an introduction to MATLAB provided in an appendix • Comprehensive references and index Requiring only familiarity with calculus and linear algebra and some introductory acquaintance with differential equations and vector calculus, this work can be used flexibly, either for a one-semester survey or an in-depth, year-long course. With its broad scope and careful pedagogy, this treatment will serve students in pure and applied mathematics, physical sciences, and engineering. Solutions manual available upon adoption of text.