000			03491cam a22005777a 4500
999			_c3180
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003			EC-UrYT
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006			s||||gr|||| 00| 00
008			130130s2013 enka b 001 0 eng d
010			_a 2013931980
020			_a9781447148197 (alk. paper)
020			_a1447148193 (alk. paper)
020			_z9781447148203 (ebk.)
035			_a(OCoLC)ocn813946989
040			_aBTCTA _beng _cBTCTA _dYDXCP _dINT _dGZQ _dBWX _dCDX _dOHX _dDLC _dEC-UrYT
041			_aeng
042			_alccopycat
050	0	0	_aQA320 _b.C56 2013
072		7	_aQA _2lcco
082	0	4	_223 _a515.7
100	1		_aClarke, Francis, _d1948- _97628
245	1	0	_aFunctional analysis, calculus of variations and optimal control / _cFrancis Clarke.
250			_aFirst Edition
264	3	4	_aLondon ; _aNew York : _bSpringer, _c2013.
300			_axiv, 591 pages : _billustrations (some colours) ; _c24 cm.
490	0		_aGraduate texts in mathematics _v264.
500			_aIncludes index
504			_aIncludes bibliographical references (pages 583-584) and index.
505	2		_aPart I Functional analysis -- 1 Normed spaces -- 2 Convex sets and functions -- 3 Weak topologies -- 4 Convex analysis -- 5 Banach spaces -- 6 Lebesgue spaces -- 7 Hilbert spaces -- 8 Additional exercises for Part I -- Part II Optimization and nonsmooth analysis -- 9 Optimization and multipliers -- 10 Generalized gradients -- 11 Proximal analysis -- 12 Invariance and monotonicity -- 13 Additional exercises for Part II -- Part III Calculus of variations -- 14 The classical theory -- 15 Nonsmooth extremals -- 16 Absolutely continuous solutions -- 17 The multiplier rule -- 18 Nonsmooth Lagrangians -- 19 Hamilton-Jacobi methods -- 20 Multiple integrals -- 21 Additional exercises for Part III -- Part IV Optimal control -- 22 Necessary conditions -- 23 Existence and regularity -- 24 Inductive methods -- 25 Differential inclusions -- 26 Additional exercises for Part IV.
520	3		_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	2	4	_aFunctional analysis _95081
650	2	4	_aCalculus of variations. _95114
650	2	4	_aMathematical optimization _92345
650	2	4	_aControl theory _97503
650	2	4	_aAnálisis funcional _95083
650	2	4	_aCálculo de variaciones. _95115
650	2	4	_aOptimización matemática _9281
650	2	4	_aTeoría de control _97504
830		0	_aGraduate texts in mathematics ; _v264.
906			_a7 _bcbc _ccopycat _d2 _eepcn _f20 _gy-gencatlg
942			_2ddc _cLIBRO
955			_bxh58 2013-04-15 z-processor _ixh58 2013-04-17 ; to Dewey
955			_apc17 2013-01-30