Titlebook: Methods of Applied Mathematics with a MATLAB Overview; Jon H. Davis Textbook 20041st edition Springer Science+Business Media New York 2004

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Methods of Applied Mathematics with a MATLAB Overview978-0-8176-8198-2Series ISSN 2296-5009 Series E-ISSN 2296-5017

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Fourier Series,A common requirement in various applied mathematical problems is to express a given function as a linear combination of other known functions. The reasons for this vary from analytical necessity to computational convenience.

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Additional Topics,Fourier methods broadly construed have applications beyond the problems discussed in previous chapters. All of these consist, in a sense, of different decompositions for functions. The motivation for the decomposition varies from a need for efficient storage, shifted point of view, to geometrically motivated adaptations of standard transforms.

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Software Resources,MATLAB provides an environment for technical computing and graphics. Because of this orientation, and also because of the range of the included subroutine libraries it is a useful adjunct to learning and practicing applied and engineering mathematics.

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Functions of a Complex Variable,ex values, the argument of the function is real-valued. There is a highly developed theory of (complex-valued) functions of a complex-valued argument. This theory contains some remarkably powerful results which are applicable to a variety of problems.