Partial Differential Equations (Record no. 79949)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03509nam a22005415i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-55212-5 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801221709.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170429s2017 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319552125 |
| -- | 978-3-319-55212-5 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.1 |
| 100 1# - AUTHOR NAME | |
| Author | Epstein, Marcelo. |
| 245 10 - TITLE STATEMENT | |
| Title | Partial Differential Equations |
| Sub Title | Mathematical Techniques for Engineers / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIII, 255 p. 66 illus., 9 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Vector fields and ordinary differential equations -- Partial differential equations in engineering -- The single first-order quasi-liner PDE -- Shock waves -- The genuinely nonlinear first-order equation -- The second-order quasi-linear equation -- Systems of equations -- The one-dimensional wave equation -- Standing waves and separation of variables -- The diffusion equation -- The Laplace equation. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-55212-5 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2017. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical models. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Mechanics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differential Equations. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Modeling and Industrial Mathematics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2192-4740 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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