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Partial Differential Equations

Language EnglishEnglish
Book Hardback
Book Partial Differential Equations Marcelo Epstein
Libristo code: 15850618
Publishers Springer International Publishing AG, May 2017
This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engi... Full description
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164.67 €
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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.

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About the book

Full name Partial Differential Equations
Language English
Binding Book - Hardback
Date of issue 2017
Number of pages 255
EAN 9783319552118
ISBN 3319552112
Libristo code 15850618
Weight 5325
Dimensions 155 x 235 x 20
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