Functional Analysis, Calculus of Variations and Optimal Control

This specialized book provides a comprehensive insight into the fields of functional analysis, calculus of variations, and optimal control. It is aimed at students and professionals who wish to engage with the theoretical foundations and practical applications of these mathematical disciplines. The author, a recognized specialist, guides the reader through the development of functional analysis, which is closely linked to problems in the calculus of variations. The book combines classical topics with modern approaches, such as nonsmooth analysis, and offers a solid overview of the emergence and further development of the subject. In addition to a detailed presentation of the mathematical fundamentals, advanced concepts such as regularity, multiplier rules, and the Pontryagin maximum principle are also discussed. Numerous examples and over three hundred exercises support understanding and promote the application of the learned material. The clear structure and didactically prepared presentation make this work a valuable companion for studies and research in the fields of mathematics and engineering.