Methods of Applied Mathematics with a Software Overview

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Mathematical Analysis
Cover of the book Methods of Applied Mathematics with a Software Overview by Jon H. Davis, Springer International Publishing
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Author: Jon H. Davis ISBN: 9783319433707
Publisher: Springer International Publishing Publication: December 9, 2016
Imprint: Birkhäuser Language: English
Author: Jon H. Davis
ISBN: 9783319433707
Publisher: Springer International Publishing
Publication: December 9, 2016
Imprint: Birkhäuser
Language: English

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.

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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.

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