Convexity and Optimization in R-n

Leonard D. Berkovitz

ISBN 10: 0471352810 / ISBN 13: 9780471352815

Published by John Wiley & Sons Inc, 2001

About this Item

This book presents the mathematics of finite dimensional constrained optimization problems. It offers a solid presentation of real analysis and provides a basis for the mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 280 pages, bibliography, index. BIC Classification: PBU. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 246 x 167 x 22. Weight in Grams: 568. . 2001. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780471352815

Bibliographic Details

• Title: Convexity and Optimization in R-n
• Publisher: John Wiley & Sons Inc
• Publication Date: 2001
• Language: English
• ISBN 10: 0471352810
• ISBN 13: 9780471352815
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

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.