Constructive nonsmooth analysis

Many practical problems can be described adequately only with the aid of nonsmooth functions. The book is mainly devoted to describing problems, tools and results in the area of Nonsmooth Analysis and Nondifferentiable Optimization, in particular those that can be easily transformed into practically applicable and computationally implementable ones. Most of the attention is paid to different generalizations of the concept of derivative (subdifferentials in Convex Analysis, the Clarke Subdifferential, Quasidifferentials, Codifferentials), Calculus of Quasidifferentials, Implicit Functions, Nonsmooth Extremal Problems.