| 书目名称 | Introduction to Partial Differential Equations | | 编辑 | David Borthwick | | 视频video | | | 概述 | Perfect book for a ?One-semester PDE course.Includes a thorough discussion of modeling process for each equation.Covers indepth three types of linear PDES: elliptic, parabolic, and hyperbolic?.Include | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. .Within each section the author creates a narrative that answers the five questions: .What is the scientific problem we are trying to understand?.How do we model that with PDE?.What techniques can we use to analyze the PDE?.How do those techniques apply to this equation?.What information or insight did we obtain by developing and analyzing the PDE?.The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspirationfor the development of methods. . | | 出版日期 | Textbook 2016 | | 关键词 | linear equations; partial differential equations; Laplace equation; mathematical analysis; wave equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-48936-0 | | isbn_softcover | 978-3-319-84051-2 | | isbn_ebook | 978-3-319-48936-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Nature Switzerland AG 2016 |
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发表于 2025-3-21 19:09:16
