Produktbild: Partial Differential Equations

Partial Differential Equations

Lieferzeit: Lieferbar innerhalb 14 Tagen

181,89 €

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Mathematical Techniques for Engineers, Mathematical Engineering

ISBN: 3319552112
ISBN 13: 9783319552118
Autor: Epstein, Marcelo
Verlag: Springer Verlag GmbH
Umfang: xiii, 255 S., 57 s/w Illustr., 9 farbige Illustr., 255 p. 66 illus., 9 illus. in color.
Erscheinungsdatum: 05.05.2017
Auflage: 1/2017
Format: 2.2 x 24.2 x 16.3
Gewicht: 566 g
Produktform: Gebunden/Hardback
Einband: Gebunden

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics. Four chapters are devoted to a detailed treatment of the single first-order PDE, including shock waves and genuinely non-linear models, with applications to traffic design and gas dynamics. The rest of the book deals with second-order equations. In the treatment of hyperbolic equations, geometric arguments are used whenever possible and the analogy with discrete vibrating systems is emphasized. The diffusion and potential equations afford the opportunity of dealing with questions of uniqueness and continuous dependence on the data, the Fourier integral, generalized functions (distributions), Duhamel’s principle, Green’s functions and Dirichlet and Neumann problems. The target audience primarily comprises graduate students in engineering, but the book may also be beneficial for lecturers, and research experts both in academia in industry.

Artikelnummer: 2007508 Kategorie:

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Springer Verlag GmbH
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69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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