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Approaches to the Theory of Optimization

by

Approaches to the Theory of Optimization Cover

 

Synopses & Reviews

Publisher Comments:

Optimization is concerned with finding the best (optimal) solution to mathematical problems that may arise in economics, engineering, the social sciences and the mathematical sciences. As is suggested by its title, this book surveys various ways of penetrating the subject. The author begins with a selection of the type of problem to which optimization can be applied and the remainder of the book develops the theory, mainly from the viewpoint of mathematical programming. To prevent the treatment becoming too abstract, subjects which may be considered 'unpractical' are not touched upon. The author gives plausible reasons, without forsaking rigor, to show how the subject develops 'naturally'. Professor Ponstein has provided a concise account of optimization which should be readily accessible to anyone with a basic understanding of topology and functional analysis. Advanced students and professionals concerned with operations research, optimal control and mathematical programming will welcome this useful and interesting book.

Synopsis:

A concise account which finds the optimal solution to mathematical problems arising in economics, engineering, the social and mathematical sciences.

Table of Contents

Preface; List of symbols; 1. Approaching optimization by means of examples; 2. An intuitive approach to mathematical programming; 3. A global approach by bifunctions; 4. A global approach by conjugate duality; 5. A local approach for optimization problems in Banach spaces; 6. Some other approaches; 7. Some applications; Appendices; Comments on the text and related literature; References; Index.

Product Details

ISBN:
9780521604918
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Ponstein, J. P.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas, B.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
General
Subject:
General Mathematics
Subject:
Mathematics-Computer
Subject:
Linear Programming
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
77
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
220
Dimensions:
8.46x5.58x.56 in. .65 lbs.

Related Subjects

Business » Accounting and Finance
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Computer
Science and Mathematics » Mathematics » General

Approaches to the Theory of Optimization New Trade Paper
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Product details 220 pages Cambridge University Press - English 9780521604918 Reviews:
"Synopsis" by , A concise account which finds the optimal solution to mathematical problems arising in economics, engineering, the social and mathematical sciences.
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