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Mathematics - Applications | Finite Dimensional Convexity and Optimization

Finite Dimensional Convexity and Optimization

Series: Studies in Economic Theory, Vol. 13

Florenzano, Monique, Le Van, Cuong

2001, XII, 154 p.

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The primary aim of this book is to present notions of convex analysis which constitute the basic underlying structure of argumentation in economic theory and which are common to optimization problems encountered in many applications. The intended readers are graduate students, and specialists of mathematical programming whose research fields are applied mathematics and economics. The text consists of a systematic development in eight chapters, with guided exercises containing sometimes significant and useful additional results. The book is appropriate as a class text, or for self-study.

Content Level » Research

Keywords » Convesity - Convexity - Derivative - Game Theory - Konvexität - Mathematical Economics - Minimum - Optimierung - Optimization - Spieltheorie - extrema - linear optimization - mathematische Ökonomie - mean value theorem - sets

Related subjects » Applications - Game Theory / Mathematical Methods - Mathematics - Operations Research & Decision Theory

Table of contents 

Convexity in Rn.- Separation and Polarity.- Extremal Structure of Convex Sets.- Linear Programming.- Convex Functions.- Differential Theory of Convex Functions.- Convex Optimization With Convex Constraints.- Non Convex Optimization.- Appendix.

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