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130626 ||| eng |
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|a 9781461445388
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|a Penot, Jean-Paul
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| 245 |
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|a Calculus Without Derivatives
|h Elektronische Ressource
|c by Jean-Paul Penot
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| 250 |
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|a 1st ed. 2013
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| 260 |
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|a New York, NY
|b Springer New York
|c 2013, 2013
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| 300 |
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|a XX, 524 p
|b online resource
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|a 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
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| 653 |
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|a Functional analysis
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| 653 |
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|a Optimization
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| 653 |
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|a Functions of real variables
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a Analysis
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| 653 |
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|a System theory
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| 653 |
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|a Real Functions
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Mathematics
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| 653 |
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|a Mathematical optimization
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Graduate Texts in Mathematics
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| 028 |
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|a 10.1007/978-1-4614-4538-8
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| 856 |
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|u https://doi.org/10.1007/978-1-4614-4538-8?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515
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| 520 |
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|a 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
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