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.
