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.

Convexity and Optimization in Rn

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