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008 121116s2013 xxu| s |||| 0|eng d
020 _a9781461445388
_9978-1-4614-4538-8
024 7 _a10.1007/978-1-4614-4538-8
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aPenot, Jean-Paul.
_eauthor.
245 1 0 _aCalculus Without Derivatives
_h[electronic resource] /
_cby Jean-Paul Penot.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXX, 524 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v266
505 0 _aPreface -- 1 Metric and Topological Tools -- 2 Elements of Differential Calculus -- 3 Elements of Convex Analysis -- 4 Elementary and Viscosity Subdifferentials -- 5 Circa-Subdifferentials, Clarke Subdifferentials -- 6 Limiting Subdifferentials -- 7 Graded Subdifferentials, Ioffe Subdifferentials -- References -- Index .
520 _aCalculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems.  Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories.  In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed.  The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
650 0 _aMathematics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aFunctional analysis.
650 0 _aFunctions of real variables.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aSystem theory.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aReal Functions.
650 2 4 _aOptimization.
650 2 4 _aSystems Theory, Control.
650 2 4 _aFunctional Analysis.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461445371
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v266
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4538-8
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c44127
_d44127