Overview
- Covers the fundamental principles of optimization in finite dimensions.
- Develops the necessary background material in differential calculus.
- All the standard topics of mathematical programming covered.
- Over two hundred of well–chosen problems included as well as many worked–out examples.
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 258)
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Table of contents (14 chapters)
Keywords
About this book
Reviews
From the reviews:
“This book is an advanced graduate level text on the mathematical theory of optimization. … filled with many useful examples and counterexamples that provide intuition to support the more formal theorems and proofs. … There are also numerous exercises for the student. … The book will also be useful as a reference for researchers working in various areas of optimization.” (Brian Borchers, The Mathematical Association of America, October, 2010)
“Güler’s book … is intended for postgraduates or researchers in optimization theory; however, it is also suitable as a textbook in a first-year graduate level course. The book covers a wide range of mathematical tools and results concerning the fundamental principles of optimization in finite-dimensional spaces. … this book can be a solid reference textbook, useful for graduate students in applied mathematics, economics, engineering, operations research, etc., and, more generally, for anyone wishing to learn the essential mathematical principles of optimization theory.” (Giorgio Giorgi, Mathematical Reviews, Issue 2011 e)
"...this textbook presents the state of the art in the theory of continuous optimization in a very transparent and accessible way. Several results are proved in two or more independent ways to gain further insight into the problem structure, and to provide instructors with alternative ways of exposition. The book may be warmly recommended to graduate students and researchers in optimization, operations research, and other fields which apply optimization methods." (Zentralblatt Math, 2010)
Authors and Affiliations
Bibliographic Information
Book Title: Foundations of Optimization
Authors: Osman Güler
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-68407-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-0-387-34431-7Published: 25 August 2010
Softcover ISBN: 978-1-4614-2647-9Published: 13 October 2012
eBook ISBN: 978-0-387-68407-9Published: 03 August 2010
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XVIII, 442
Topics: Operations Research, Management Science, Optimization, Calculus of Variations and Optimal Control; Optimization, Applications of Mathematics