Calculus Without Derivatives: 266 (Graduate Texts in by Jean-Paul Penot

By Jean-Paul Penot

Calculus with no Derivatives expounds the rules and up to date advances in nonsmooth research, a robust compound of mathematical instruments that obviates the standard smoothness assumptions. This textbook additionally offers major instruments and strategies in the direction of functions, specifically optimization problems.  while such a lot books in this topic specialise in a specific conception, this article takes a basic technique together with all major theories.  as a way to be self-contained, the publication contains 3 chapters of initial fabric, each one of that are used as an independent direction if needed.  the 1st bankruptcy offers with metric homes, variational ideas, reduce ideas, equipment of blunders bounds, calmness and metric regularity. the second provides the classical instruments of differential calculus and features a part concerning the calculus of diversifications. The 3rd includes a clear exposition of convex analysis.

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