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Calculus of Variations : An Introduction to the One-Dimensional Theory with Examples and Exercises / by Hansjörg Kielhöfer
(Texts in Applied Mathematics. ISSN:21969949 ; 67)
版 | 1st ed. 2018. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2018 |
本文言語 | 英語 |
大きさ | XVI, 227 p. 59 illus : online resource |
著者標目 | *Kielhöfer, Hansjörg author SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Calculus of Variations and Optimization |
一般注記 | Introduction -- The Euler-Language Equation -- Variational Problems with Constraints -- Direct Methods in the Calculus of Variations -- Appendix -- Solutions of the Exercises 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. HTTP:URL=https://doi.org/10.1007/978-3-319-71123-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319711232 |
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EB00229963 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA402.5-402.6 LCC:QA315-316 DC23:519.6 DC23:515.64 |
書誌ID | 4000118357 |
ISBN | 9783319711232 |
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