Variational Calculus and Optimal Control
Subtitle: Optimization with Elementary Convexity
Publisher: Springer New York
Published: 2012
Language: eng
Number of pages: 462
ISBN-13: 9781461268871
Subjects: Calculus of variations; Control theory; Mathematical optimization; Functions of real variables
Description: The text provides an introduction to the variational methods used to formulate and solve mathematical and physical problems and gives the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize then the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency. It lays the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, and computer science.