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Synopsis
Here is a wide-ranging introduction to the foundations of nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. Covers recent progress and methods of implementation, especially in optimization problems.
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From the Back Cover
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.
About the Author
Jean-Paul Penot is an Emeritus Professor at Université Paris 6. He has taught in Paris, Pau and Canada.
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- PublisherSpringer
- Publication date2014
- ISBN 10 1489989420
- ISBN 13 9781489989420
- BindingPaperback
- Number of pages544
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Calculus Without Derivatives
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Springer New York Dez 2014, 2014
ISBN 10: 1489989420
ISBN 13: 9781489989420
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 anindependent 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 clearexposition of convex analysis. 544 pp. Englisch. Seller Inventory # 9781489989420
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 anindependent 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 clearexposition of convex analysis. Seller Inventory # 9781489989420
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes all necessary preliminary materialIntroduces fundamental aspects of nonsmooth analysis that impact many applicationsPresents a balanced picture of the most elementary attempts to replace a derivative with a one-sided generalized de. Seller Inventory # 4213026
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