| 書(shū)目名稱(chēng) | Calculus of Variations I |
| 編輯 | Mariano Giaquinta,Stefan Hildebrandt |
| 視頻video | http://file.papertrans.cn/221/220880/220880.mp4 |
| 叢書(shū)名稱(chēng) | Grundlehren der mathematischen Wissenschaften |
| 圖書(shū)封面 |  |
| 描述 | This book describes the classical aspects of the variational calculus which are of interest to analysts, geometers and physicists alike. Volume 1 deals with the for- mal apparatus of the variational calculus and with nonparametric field theory, whereas Volume 2 treats parametric variational problems as well as Hamilton- Jacobi theory and the classical theory of partial differential equations of first ordel;. In a subsequent treatise we shall describe developments arising from Hilbert‘s 19th and 20th problems, especially direct methods and regularity theory. Of the classical variational calculus we have particularly emphasized the often neglected theory of inner variations, i. e. of variations of the independent variables, which is a source of useful information such as mono tonicity for- mulas, conformality relations and conservation laws. The combined variation of dependent and independent variables leads to the general conservation laws of Emmy Noether, an important tool in exploiting symmetries. Other parts of this volume deal with Legendre-Jacobi theory and with field theories. In particular we give a detailed presentation of one-dimensional field theory for nonpara- metric and |
| 出版日期 | Book 2004 |
| 關(guān)鍵詞 | Calculus of Variations; Convexity; Gaussian curvature; Hamiltonian Formalism; Lagrangian Formalism; Mean |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-03278-7 |
| isbn_softcover | 978-3-642-08074-6 |
| isbn_ebook | 978-3-662-03278-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
|Archiver|手機(jī)版|小黑屋|
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