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Functional analysis, calculus of var...

Clarke, Francis, (1948-)

Functional analysis, calculus of variations and optimal control /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Functional analysis, calculus of variations and optimal control // Francis Clarke.
作者:	Clarke, Francis,
出版者:	London ;Springer, : c2013.,
面頁冊數:	xiv, 591 p. :ill. (some col.) ; : 24 cm.;
標題:	Functional analysis. -
ISBN:	9781447148197 (cloth) :

Functional analysis, calculus of variations and optimal control /
Clarke, Francis,1948-

Functional analysis, calculus of variations and optimal control /Francis Clarke. - London ;Springer,c2013. - xiv, 591 p. :ill. (some col.) ;24 cm. - Graduate texts in mathematics,2640072-5285 ;. - Graduate texts in mathematics ;253..

Includes bibliographical references (p. 583-584) and index.

Normed spaces --

"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"--P. [4] of cover.

ISBN: 9781447148197 (cloth) :NT2802

LCCN: 2013931980Subjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA320 / .C56 2013

Dewey Class. No.: 515.64

Functional analysis, calculus of variations and optimal control /
LDR:02336cam a2200289 a 4500 001 756483
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020 $a 9781447148197 (cloth) : $c NT2802
020 $a 1447148193 (cloth)
020 $a 9781447148203 (ebk.)
020 $a 1447148207 (ebk.)
035 $a (OCoLC)ocn813946989
035 $a 2013931980
040 $a BTCTA $b eng $c BTCTA $d YDXCP $d INT $d GZQ $d BWX $d CDX $d OHX $d DLC $d NFU
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050 0 0 $a QA320 $b .C56 2013
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082 0 4 $a 515.64 $2 22
100 1 $a Clarke, Francis, $d 1948- $3 915232
245 1 0 $a Functional analysis, calculus of variations and optimal control / $c Francis Clarke.
260 # $a London ; $a New York : $c c2013. $b Springer,
300 $a xiv, 591 p. : $b ill. (some col.) ; $c 24 cm.
490 1 $a Graduate texts in mathematics, $x 0072-5285 ; $v 264
504 $a Includes bibliographical references (p. 583-584) and index.
505 0 0 $t Normed spaces -- $t Convex sets and functions -- $t Weak topologies -- $t Convex analysis -- $t Banach spaces -- $t Lebesgue spaces -- $t Hilbert spaces -- $t Additional exercises for Part I -- $t Optimization and multipliers -- $t Generalized gradients -- $t Proximal analysis -- $t Invariance and monotonicity -- $t Additional exercises for Part II -- $t The classical theory -- $t Nonsmooth extremals -- $t Absolutely continuous solutions -- $t The multiplier rule -- $t Nonsmooth Lagrangians -- $t Hamilton-Jacobi methods -- $t Multiple integrals -- $t Additional exercises for Part III -- $t Necessary conditions -- $t Existence and regularity -- $t Inductive methods -- $t Differential inclusions -- $t Additional exercises for Part IV.
520 # $a "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"--P. [4] of cover.
650 # 0 $a Functional analysis. $3 527706
650 # 0 $a Calculus of variations. $3 527927
650 # 0 $a Mathematical optimization. $3 527675
650 # 0 $a Control theory. $3 527674
830 0 $a Graduate texts in mathematics ; $v 253. $3 774333