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.
Les mer
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.
Les mer
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.
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"The target audience appears to be engineers and applied mathematicians. ... This book seems a better match to applied mathematicians who want to learn these particular topics ... . In any case, the clear prose and the 'software overview' are valuable assets." (Robert W. Hayden, MAA Reviews, maa.org, May, 2017)
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Produktdetaljer

ISBN
9783319433691
Publisert
2016-12-16
Utgave
2. utgave
Utgiver
Vendor
Birkhauser Verlag AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
06, P
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
781

Forfatter

Biographical note

Jon H. Davis is retired professor from Queen's University Kingston mathematics department.