Functional Analysis, Calculus of Variations and Optimal Control

The textbook "Functional Analysis, Calculus of Variations and Optimal Control" offers a comprehensive introduction to functional analysis and its applications in the calculus of variations and optimal control. Written by a recognized expert in the field, the book covers both fundamental and novel topics. The first half of the book addresses functional analysis and nonsmooth analysis, while the second half focuses on the calculus of variations and optimal control. A standout feature is the discussion of current developments, such as regularity and the Pontryagin Maximum Principle, which are presented here for the first time in a textbook. With over three hundred exercises and numerous examples, practical applications in areas such as mechanics, economics, and control engineering are also explored. This book is a valuable resource for students and professionals looking to engage with these complex mathematical topics.