Jean-Paul Penot: Calculus Without Derivatives

Cover: 9781461445371 | Calculus Without Derivatives | Jean-Paul Penot | Buch | xx | Englisch

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Beschreibung

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.

Über den Autor

Jean-Paul Penot is an Emeritus Professor at Université Paris 6. He has taught in Paris, Pau and Canada.

Zusammenfassung

Includes all necessary preliminary material

Introduces fundamental aspects of nonsmooth analysis that impact many applications

Presents a balanced picture of the most elementary attempts to replace a derivative with a one-sided generalized derivative called a subdifferential

Includes references, notes, exercises and supplements that will give the reader a thorough insight into the subject

Includes supplementary material: [...]

Inhaltsverzeichnis

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¿.

Details

Erscheinungsjahr:	2012
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xx 524 S.
ISBN-13:	9781461445371
ISBN-10:	146144537X
Sprache:	Englisch
Herstellernummer:	80112223
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Penot, Jean-Paul
Hersteller:	Springer US Springer New York Graduate Texts in Mathematics
Maße:	241 x 160 x 33 mm
Von/Mit:	Jean-Paul Penot
Erscheinungsdatum:	09.11.2012
Gewicht:	0,974 kg

Artikel-ID: 106448860