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024 7 $a10.1007/978-1-4614-4538-8
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035   $a(OCoLC)821265748
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035   $a(PQKBTitleCode)TC0000813281
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035   $a(DE-He213)978-1-4614-4538-8
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100   $a20121116d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aCalculus Without Derivatives /$fby Jean-Paul Penot
205   $a1st ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013.
215   $a1 online resource (540 p.)
225 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v266
300   $aDescription based upon print version of record.
311   $a1-4899-8942-0 
311   $a1-4614-4537-X 
320   $aIncludes bibliographical references (pages [479]-517) and index.
327   $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 .
330   $aCalculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
410  0$aGraduate Texts in Mathematics,$x0072-5285 ;$v266
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aFunctions of real variables
606   $aMathematical optimization
606   $aSystem theory
606   $aFunctional analysis
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aFunctions of real variables.
615  0$aMathematical optimization.
615  0$aSystem theory.
615  0$aFunctional analysis.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615 14$aAnalysis.
615 24$aReal Functions.
615 24$aOptimization.
615 24$aSystems Theory, Control.
615 24$aFunctional Analysis.
615 24$aApplications of Mathematics.
676   $a515
700   $aPenot$b Jean-Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut$0521797
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438140403321
996   $aCalculus without derivatives$9838047
997   $aUNINA