| 書目名稱 | Functional Analysis, Calculus of Variations and Optimal Control | | 編輯 | Francis Clarke | | 視頻video | http://file.papertrans.cn/350/349612/349612.mp4 | | 概述 | A self-contained in-depth introduction to functional analysis and the related fields of optimal control and the calculus of variations that is unique in its coverage.Written in a lively and engaging s | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor..This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Othermajor themes include existence and Hamilton-Jacobi methods..The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logari | | 出版日期 | Textbook 2013 | | 關鍵詞 | Calculus of Variations; Continuous Optimization; Dynamic Optimization; Functional Analysis; Optimal Cont | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-4820-3 | | isbn_softcover | 978-1-4471-6210-0 | | isbn_ebook | 978-1-4471-4820-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag London 2013 |
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