| 書目名稱 | Partial Differential Equations I | | 副標題 | Basic Theory | | 編輯 | Michael E. Taylor | | 視頻video | http://file.papertrans.cn/742/741486/741486.mp4 | | 概述 | Three volumes offer complete reference to PDE‘s.Includes both theory and applications.Lots of examples and exercises | | 叢書名稱 | Applied Mathematical Sciences | | 圖書封面 |  | | 描述 | The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis..The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters.? In includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids.? The appendices have also be | | 出版日期 | Textbook 2023Latest edition | | 關(guān)鍵詞 | Basic Theory of ODE and Vector Fields; Fourier Analysis; Laplace Equation; Linear Elliptic Equations; Wa | | 版次 | 3 | | doi | https://doi.org/10.1007/978-3-031-33859-5 | | isbn_softcover | 978-3-031-33861-8 | | isbn_ebook | 978-3-031-33859-5Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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