Methods of Applied Mathematics with a Software Overview. 2nd ed. 2016

種類:

電子ブック

責任表示:

by Jon H. Davis

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2016

著者名:

• Davis, Jon H.
• SpringerLink (Online service)

シリーズ名:

Applied and Numerical Harmonic Analysis ;

ISBN:

9783319433707 [3319433709]    

注記:

Introduction. Fourier Series -- Elementary Boundary Value Problems -- Strum-Liouville Theory and Boundary Value Problems -- Functions of a Complex Variable -- Laplace Transforms -- Fourier Transforms -- Discrete Variable Transforms -- Additional Topics -- Linear Algebra Overview -- Software Resources -- Transform Tables.
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful. Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and si

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