Francis Clarke

A self-contained in-depth introduction to functional analysis and the related fields of optimal control and the calculus of variations that is unique in its coverage Written in a lively and engaging style by a leading specialist Includes a short course on optimization and nonsmooth analysis Gives complete proofs of advanced versions of the Pontryagin maximum principle that appear for the first time in a textbook Contains hundreds of exercises of an original nature, with solutions or hints in many cases Includes supplementary material: sn.pub/extras