Variational Calculus and Optimal Control: Optimization with Elementary Convexity

John L. Troutman

Springer

1995

484 páginas

16h 8m

ISBN-13: 9780387945118

An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency, laying as it does the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, as well as computer science.