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Functional Analysis, Calculus of Variations and Optimal Control (Graduate Texts in Mathematics, 264) - Hardcover
Synopsis
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...
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“The book is composed of four parts ... . A nice feature of this graduate-level textbook is that the book is sprinkled with a number of exercises including additional ones for each part of the book, notes, solutions, and hints and hence ideally suitable for adaptation for a first/second level graduate course in control theory. ... the book, written by a well-known expert in control theory, is...
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- PublisherSpringer
- Publication date2013
- ISBN 10 1447148193
- ISBN 13 9781447148197
- BindingHardcover
- LanguageEnglish
- Number of pages605
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Functional AnalysisCalculus of variations & Optional C
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Functional Analysis, Calculus of Variations and Optimal Control
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Functional Analysis, Calculus of Variations and Optimal Control
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Functional Analysis, Calculus of Variations and Optimal Control
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Functional Analysis, Calculus of Variations and Optimal Control (Graduate Texts in Mathematics, 264)
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Functional Analysis, Calculus of Variations and Optimal Control
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Springer London, Springer London, 2013
ISBN 10: 1447148193
ISBN 13: 9781447148197
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Hardcover
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering.Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its advanced results in the calculus of variations and optimal control, its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth analysis) will be appreciated by researchers in these and related fields. Seller Inventory # 9781447148197
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Functional Analysis, Calculus of Variations and Optimal Control
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Functional Analysis, Calculus of Variations and Optimal Control (Graduate Texts in Mathematics, 264)
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Functional Analysis, Calculus of Variations and Optimal Control. Graduate Texts in Mathematics ; 267
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Guildford, Surrey : Springer London, 2012
ISBN 10: 1447148193
ISBN 13: 9781447148197
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