Calculus without derivatives / Jean-Paul Penot
Type de document : MonographieCollection : Graduate texts in mathematics, 266Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, cop. 2013Description : 1 vol. (XX-524 p.) ; 24 cmISBN: 9781461445371.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 479-517. Index.Sujet MSC : 49J52, Existence theories in calculus of variations and optimal control, Nonsmooth analysis49J53, Existence theories in calculus of variations and optimal control, Set-valued and variational analysis
58C20, Global analysis, analysis on manifolds, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
52A41, General convexity, Convex functions and convex programs
90C30, Mathematical programming, Nonlinear programmingEn-ligne : Springerlink | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 49 PEN (Browse shelf(Opens below)) | Available | 12321-01 |
Bibliogr. p. 479-517. 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. (Source : Springer)
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