Finite Dimensional Convexity And Optimization

The primary aim of this book is to present notions of convex analysis whichconstitute the basic underlying structure of argumentation in economic theoryand whic... » 

The primary aim of this book is to present notions of convex analysis whichconstitute the basic underlying structure of argumentation in economic theoryand which are common to optimization problems encountered in many applications.The intended readers are graduate students and specialists of mathematicalprogramming whose research fields are applied mathematics and economics. Thetext consists of a systematic development in eight chapters with guidedexercises containing sometimes significant and useful additional results. Thebook is appropriate as a class text or for selfstudy. TOCConvexity in Rn.Separation and Polarity. Extremal Structure of Convex Sets. LinearProgramming. Convex Functions. Differential Theory of Convex Functions.Convex Optimization With Convex Constraints. Non Convex Optimization.Appendix. «