Convexity and Optimization in Rn

✍ Scribed by Leonard D. Berkovitz

Publisher: Wiley-Interscience
Year: 2001
Tongue: English
Leaves: 284
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

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A textbook for a one-semester beginning graduate course for students of engineering, economics, operations research, and mathematics. Students are expected to have a good grounding in basic real analysis and linear algebra.