| 书目名称 | Calculus of Variations | | 副标题 | An Introduction to t | | 编辑 | Hansjörg Kielhöfer | | 视频video | | | 概述 | Provides examples and exercises with solutions, allowing for self-study.Includes numerous figures to help aid the reader.Includes advances problems and proofs in the appendix | | 丛书名称 | Texts in Applied Mathematics | | 图书封面 |  | | 描述 | .This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book .Variationsrechnung .(Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study.. .The book will be particularly useful for beginning graduate students from the physical,engineering, and mathematical sciences with a rigorous theoretical background. . | | 出版日期 | Textbook 2018 | | 关键词 | Euler-Lagrange Equation; Natural Boundary Conditions; Variational Problems with Constraints; Direct Met | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-71123-2 | | isbn_softcover | 978-3-319-89038-8 | | isbn_ebook | 978-3-319-71123-2Series ISSN 0939-2475 Series E-ISSN 2196-9949 | | issn_series | 0939-2475 | | copyright | Springer International Publishing AG 2018 |
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发表于 2025-3-21 16:24:13
