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...Areview of the book functional analysis calculus variations and optimal control by francis clarke graduate texts in mathematics springer london this deals with part i optimization ii varia tions iii iv outline is motivated observation that was developed late th century to consolidate math ematical foundations a branch mechanics physics initiated consists minimizing an integral like energy distance or area surface subject constraints especially nonsmooth as well can then be seen natural extensions these developments mainly carried out s largely contributing practical solutions problems coming e g from aerospace industry author f key contributor eld theory former student r t rockafellar he pioneered development mid since through years teaching research experience has produced collected considerable amount technical material culmination his eorts disseminate basic more advanced concepts convexity plays prominent role where convex sets functions are introduced quite early chapters before b...