Calculus without derivatives
 Responsibility
 JeanPaul Penot.
 Language
 English.
 Imprint
 New York : Springer, c2013.
 Physical description
 xx, 524 p. ; 24 cm.
 Series
 Graduate texts in mathematics ; 266.
Access
Available online
 dx.doi.org SpringerLink
Math & Statistics Library
Stacks
Call number  Status 

QA303.2 .P46 2013  Unknown 
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Creators/Contributors
 Author/Creator
 Penot, JeanPaul, 1942
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 479517) and index.
 Contents

 Preface. 1 Metric and Topological Tools. 2 Elements of Differential Calculus. 3 Elements of Convex Analysis. 4 Elementary and Viscosity Subdifferentials. 5 CircaSubdifferentials, Clarke Subdifferentials. 6 Limiting Subdifferentials. 7 Graded Subdifferentials, Ioffe Subdifferentials. References. Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 selfcontained, 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Series
 Graduate texts in mathematics ; 266
 ISBN
 146144537X
 9781461445371