Optimization Insights and Applications

by Jan Brinkhuis, Vladimir M. Tikhomirov

Part of the Princeton Series in Applied Mathematics Series

Optimization Insights and Applications Synopsis

This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.

Optimization Insights and Applications Press Reviews

The authors provide a very nice and interesting textbook on the theory and the application of mathematical optimization... The book is written as well as for beginners and for experts... Both types of readers can profit from the given shortcuts and royal roads which jump over some theoretical explanations and lead directly to the applications. --Jorg Thierfelder, Zentralblatt MATH

Book Information

ISBN: 9780691102870
Publication date: 29th August 2005
Author: Jan Brinkhuis, Vladimir M. Tikhomirov
Publisher: Princeton University Press
Format: Hardback
Pagination: 680 pages
Categories: Optimization,

About Jan Brinkhuis, Vladimir M. Tikhomirov

Jan Brinkhuis is Associate Professor of Finance and Mathematical Methods and Techniques at the Econometric Institute of Erasmus University, Rotterdam. Vladimir Tikhomirov holds the Chair of Optimal Control in the Department of Mechanics and Mathematics at the Lomonosov Moscow State University.

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