| 书目名称 | Essential Ordinary Differential Equations | | 编辑 | Robert Magnus | | 视频video | | | 概述 | Presents carefully selected, essential topics treated in depth with mathematical rigor.Includes both linear and nonlinear theory.Contains projects for further study | | 丛书名称 | Springer Undergraduate Mathematics Series | | 图书封面 |  | | 描述 | This textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics. Informed by the author’s extensive teaching experience, the book presents a series of carefully selected topics that, taken together, cover an essential body of knowledge in the field. Each topic is treated rigorously and in depth..The book begins with a thorough treatment of linear differential equations, including general boundary conditions and Green’s functions. The next chapters cover separable equations and other problems solvable by quadratures, series solutions of linear equations and matrix exponentials, culminating in Sturm–Liouville theory, an indispensable tool for partial differential equations and mathematical physics. The theoretical underpinnings of the material, namely, the existence and uniqueness of solutions and dependence on initial values, are treated at length. A noteworthy feature ofthis book is the inclusion of project sections, which go beyond the main text by introducing important further topics, guiding the student by alternating exercises and explanations.. .Designed to serve as the basis for a course for | | 出版日期 | Textbook 2023 | | 关键词 | Ordinary Differential Equations; initial value problem; boundary value problem; Sturm-Liouville theory; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-11531-8 | | isbn_softcover | 978-3-031-11530-1 | | isbn_ebook | 978-3-031-11531-8Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:42:18
