Partial Differential Equations : Mathematical Techniques for Engineers Paperback - 2018
by Marcelo Epstein
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- Paperback
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Details
- Title Partial Differential Equations : Mathematical Techniques for Engineers
- Author Marcelo Epstein
- Binding Paperback
- Condition New
- Pages 255
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2018-07-25
- Illustrated Yes
- Features Illustrated
- Bookseller's Inventory # ria9783319855974_inp
- ISBN 9783319855974 / 3319855972
- Weight 0.85 lbs (0.39 kg)
- Dimensions 9.21 x 6.14 x 0.57 in (23.39 x 15.60 x 1.45 cm)
- Category Technology & Industrial Arts
- Dewey Decimal Code 003.3
- Quantity available 1025
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From the rear cover
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.
