Téléchargez le livre : Partial Differential Equations

Partial Differential Equations

Mathematical Techniques for Engineers de

Éditeur :

Springer


Collection :

Mathematical Engineering

Paru le : 2017-04-29

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Description
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.
Pages
255 pages
Collection
Mathematical Engineering
Parution
2017-04-29
Marque
Springer
EAN papier
9783319552118
EAN PDF
9783319552125
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
5396 Ko
Prix
168,79 €
EAN EPUB
9783319552125
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
3215 Ko
Prix
168,79 €

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