http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Finite Dimensional Convexity and Optimization
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.
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.