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 proble
Calculus Without Derivatives
✍ Scribed by Penot, Jean-Paul
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Series
- Graduate texts in mathematics 266
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
Metric and topological tools -- Elements of differential calculus -- Elements of convex analysis -- Elementary and viscosity subdifferentials -- Circa-subdifferentials, Clarke subdifferentials -- Limiting subdifferentials -- Graded subdifferentials, Ioffe subdifferentials
✦ Table of Contents
Metric and topological tools --
Elements of differential calculus --
Elements of convex analysis --
Elementary and viscosity subdifferentials --
Circa-subdifferentials, Clarke subdifferentials --
Limiting subdifferentials --
Graded subdifferentials, Ioffe subdifferentials
✦ Subjects
Analyse fonctionnelle;Calcul;Calcul différentiel;Calcul infinitésimal;Nonsmooth optimization;Optimisation mathématique;Optimisation non différentiable;Mathematical optimization;Calculus;Differential calculus;Functional analysis;Calcul infinitésimal;Calcul différentiel;Optimisation non différentiable;Optimisation mathématique
📜 SIMILAR VOLUMES
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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<p>How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a be