| 书目名称 | Partial Differential Equations | | 副标题 | Mathematical Techniq | | 编辑 | Marcelo Epstein | | 视频video | | | 概述 | Presents a genuinely rigorous treatment of PDE, yet comprehensible for the typical engineering student.Emphasizes geometric and intuitive interpretations.Contains examples from engineering context as | | 丛书名称 | Mathematical Engineering | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2017 | | 关键词 | Continuum physics; Diffusion equations; Non-linear models; Discrete vibrating systems; Hyperbolic equati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-55212-5 | | isbn_softcover | 978-3-319-85597-4 | | isbn_ebook | 978-3-319-55212-5Series ISSN 2192-4732 Series E-ISSN 2192-4740 | | issn_series | 2192-4732 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 16:47:15
