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Francis Clarke Functional Analysis, Calculus of Variations and Optimal Control Series: Graduate Texts in Mathematics
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 style by a leading specialist Includes a short course on optimization and nonsmooth analysis Gives complete proofs of advanced versions of the Pontryagin maximum principle that appear for the first time in a textbook 2013, XIV, 591 p. 24 illus., 8 illus. in color. Contains hundreds of exercises of an original nature, with solutions or hints in many cases Printed book Functional analysis owes much of its early impetus to problems that arise in the calculus of Hardcover variations. In turn, the methods developed there have been applied to optimal control, an area 69,95 € | £62.99 | $89.95 that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a [1] 74,85 € (D) | 76,95 € (A) | CHF complete course on all these topics. It is written by a leading specialist who is also a noted 93,59 expositor. This book provides a thorough introduction to functional analysis and includes many Softcover novel elements as well as the standard topics. A short course on nonsmooth analysis and 74,99 € | £64.99 | $89.99 geometry completes the first half of the book whilst the second half concerns the calculus of [1]80,24 € (D) | 82,49 € (A) | CHF variations and optimal control. The author provides a comprehensive course on these subjects, 88,50 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, eBook which appear here for the first time in a textbook. Other major themes include existence and 58,84 € | £49.99 | $69.99 Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred [2]58,84 € (D) | 58,84 € (A) | CHF exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic 74,50 Sobolev inequality, periodic trajectories, and systems theory. Available from your library or springer.com/shop MyCopy [3] Printed eBook for just € | $ 24.99 springer.com/mycopy
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