Partial Differential Equations - Mathematical Techniques for Engineers (Hardcover, 1st ed. 2017)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Mathematical Engineering
Release date:	May 2017
First published:	2017
Authors:	Marcelo Epstein
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Hardcover
Pages:	255
Edition:	1st ed. 2017
ISBN-13:	978-3-319-55211-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	3-319-55211-2
Barcode:	9783319552118

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