04417nam 22008895 450 991043814040332120200701031822.01-4614-4538-810.1007/978-1-4614-4538-8(CKB)2670000000308947(EBL)994204(OCoLC)821265748(SSID)ssj0000813281(PQKBManifestationID)11436056(PQKBTitleCode)TC0000813281(PQKBWorkID)10768288(PQKB)11197429(DE-He213)978-1-4614-4538-8(MiAaPQ)EBC994204(MiAaPQ)EBC6312579(PPN)168300575(EXLCZ)99267000000030894720121116d2013 u| 0engur|n|---|||||txtccrCalculus Without Derivatives /by Jean-Paul Penot1st ed. 2013.New York, NY :Springer New York :Imprint: Springer,2013.1 online resource (540 p.)Graduate Texts in Mathematics,0072-5285 ;266Description based upon print version of record.1-4899-8942-0 1-4614-4537-X Includes bibliographical references (pages [479]-517) and index.Preface -- 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 .Calculus 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.Graduate Texts in Mathematics,0072-5285 ;266Mathematical analysisAnalysis (Mathematics)Functions of real variablesMathematical optimizationSystem theoryFunctional analysisApplied mathematicsEngineering mathematicsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Real Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Mathematical analysis.Analysis (Mathematics).Functions of real variables.Mathematical optimization.System theory.Functional analysis.Applied mathematics.Engineering mathematics.Analysis.Real Functions.Optimization.Systems Theory, Control.Functional Analysis.Applications of Mathematics.515Penot Jean-Paulauthttp://id.loc.gov/vocabulary/relators/aut521797MiAaPQMiAaPQMiAaPQBOOK9910438140403321Calculus without derivatives838047UNINA01069nam0 22002891i 450 UON0051439120231205105513.81034-995054-5-220230518d1999 |0itac50 bagerDE|||| |||||Ingeborg Bachmannvon Hans HollerReinbeck bei HamburgRowolt1999186 p.ill.19 cmBACHMANN INGEBORGUONC039083FILetteratura tedescaSec. 20.UONC062194FIReinbeckUONL005522830.9009Letteratura tedesca. storia, descrizione, studi critici. 1900-22HÖLLERHansUONV142295388748ROWOLTUONV289748650ITSOL20251003RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00514391SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI F. Goethe 830 BACH 1470 SI 42628 5 1470 Ingeborg Bachmann567800UNIOR