I had read/studied most of this book when I was a graduate student in chemical engineering at Syracuse University (in 1987-88). I also took two courses on the subject from Professor Troutman. I strongly recommend this book to any "newcomer" to the subject. The author is a mathematician, and a larg
Variational calculus and optimal control: Optimization with elementary convexity
β Scribed by John L. Troutman
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Leaves
- 479
- Series
- Undergraduate Texts in Mathematics
- Edition
- 2ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
<span>Although the calculus of variations has ancient origins in questions of ArΒ istotle and Zenodoros, its mathematical principles first emerged in the postΒ calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both math
<p><span>This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided
The theory of Pontryagin minimum is developed for problems in the calculus of variations. The application of the notion of Pontryagin minimum to the calculus of variations is a distinctive feature of the book. A new theory of quadratic conditions for a Pontryagin minimum, which covers broken extrema
The theory of a Pontryagin minimum is developed for problems in the calculus of variations. The application of the notion of a Pontryagin minimum to the calculus of variations is a distinctive feature of this book. A new theory of quadratic conditions for a Pontryagin minimum, which covers broken ex