Convexity and Optimization in Rn

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9780471352815: Convexity and Optimization in Rn
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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.

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About the Author:

LEONARD D. BERKOVITZ, PhD, is Professor of Mathematics at Purdue University. He previously worked at the RAND Corporation and has served on the editorial boards of several journals, including terms as Managing Editor of the SIAM Journal on Control and as a member of the Editorial Committee of Mathematical Reviews.

Review:

"...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)

"About this title" may belong to another edition of this title.

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Book Description John Wiley & Sons Inc, United States, 2001. Hardback. Condition: New. Language: English. Brand new Book. A comprehensive introduction to convexity and optimization in Rn This book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. For readers who do not have the requisite background in real analysis, the author provides a chapter covering this material. The text features abundant exercises and problems designed to lead the reader to a fundamental understanding of the material. Convexity and Optimization in Rn provides detailed discussion of: 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 index offers quick reference. Suitable as a text for both graduate and undergraduate students in mathematics and engineering, this accessible text is written from extensively class-tested notes. Seller Inventory # AAH9780471352815

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Book Description John Wiley & Sons Inc, United States, 2002. Hardback. Condition: New. Language: English. Brand new Book. A comprehensive introduction to convexity and optimization in Rn This book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. For readers who do not have the requisite background in real analysis, the author provides a chapter covering this material. The text features abundant exercises and problems designed to lead the reader to a fundamental understanding of the material. Convexity and Optimization in Rn provides detailed discussion of: 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 index offers quick reference. Suitable as a text for both graduate and undergraduate students in mathematics and engineering, this accessible text is written from extensively class-tested notes. Seller Inventory # AAH9780471352815

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Book Description John Wiley & Sons Inc, United States, 2001. Hardback. Condition: New. Language: English. Brand new Book. A comprehensive introduction to convexity and optimization in Rn This book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. For readers who do not have the requisite background in real analysis, the author provides a chapter covering this material. The text features abundant exercises and problems designed to lead the reader to a fundamental understanding of the material. Convexity and Optimization in Rn provides detailed discussion of: 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 index offers quick reference. Suitable as a text for both graduate and undergraduate students in mathematics and engineering, this accessible text is written from extensively class-tested notes. Seller Inventory # BZV9780471352815

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