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Approaches to the Theory of Optimization : Cambridge Tracts in Mathematics - J. P. Ponstein

Approaches to the Theory of Optimization

Cambridge Tracts in Mathematics


Published: 2nd August 2004
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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.

List of symbols
Approaching optimization by means of examples
An intuitive approach to mathematical programming
A global approach by bifunctions
A global approach by conjugate duality
A local approach for optimization problems in Banach spaces
Some other approaches
Some applications
Comments on the text and related literature
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521604918
ISBN-10: 0521604915
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 220
Published: 2nd August 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 21.6 x 14.0  x 1.3
Weight (kg): 0.29