Convexity and Optimization in Rn
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Beschreibung
A comprehensive introduction to convexity and optimization inRn
This book presents the mathematics of finite dimensionalconstrained optimization problems. It provides a basis for thefurther mathematical study of convexity, of more generaloptimization problems, and of numerical algorithms for the solutionof finite dimensional optimization problems. For readers who do nothave the requisite background in real analysis, the author providesa chapter covering this material. The text features abundantexercises and problems designed to lead the reader to a fundamentalunderstanding of the material.
Convexity and Optimization in Rn provides detailed discussionof:
* Requisite topics in real analysis
* Convex sets
* Convex functions
* Optimization problems
* Convex programming and duality
* The simplex method
A detailed bibliography is included for further study and an indexoffers quick reference. Suitable as a text for both graduate andundergraduate students in mathematics and engineering, thisaccessible text is written from extensively class-tested notes.
Autor*in
Leonard D. Berkovitz
Themen in »Convexity and Optimization in Rn«
Mathematics Mathematics Special Topics Mathematik Optimierung Optimization Spezialthemen Mathematik
Stimmen zu »Convexity and Optimization in Rn«
"...a nice introduction to finite-dimensional optimization..."(Zentralblatt Math, Vol.991, No.16, 2002)
"A textbook for a one-semester...course for students ofengineering, economics, operations research, and mathematics."(SciTech Book News, Vol. 26, No. 2, June 2002)
"...a fine introductory textbook that provides a solid introductionto the subject as well as a good foundation for further study..."(Mathematical Reviews, 2003a)
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