Optimization: insights and applications
by Brinkhuis, Jan Tikhomirov, Vladimir, (Tikhomirov, Vladimir Mikhailovich)
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,…
Read More ↓Title Statements
- Full title :Optimization : insights and applications
Summary
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.
Read More ↓Edition Statements
- Publication Date:2005
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton, N.J
- Language:eng
- Publication Date:2005
The Physical Object
- Description:658 s. : : illustrations
Edition Identifiers
- ISBN:0691102872, 9780691102870
- oclc:ocn474838260
- LC Classification:HB141
- Dewey Decimal:330 .01 5195
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