Elements of concave analysis and applications

Description

"Concave analysis deals mainly with concave and quasi-concave functions, although convex and quasi-convex functions are considered because of their mutual inherent relationship. The aim of Elements of Concave Analysis and Applications is to provide a basic and self-contained introduction to concepts and detailed study of concave and convex functions. It is written in the style of a textbook, designed for courses in mathematical economics, finance, and manufacturing design. The suggested prerequisites are multivariate calculus, ordinary and elementary PDEs, and elementary probability theory."--Provided by publisher.  Read more... Abstract: "Concave analysis deals mainly with concave and quasi-concave functions, although convex and quasi-convex functions are considered because of their mutual inherent relationship. The aim of Elements of Concave Analysis and Applications is to provide a basic and self-contained introduction to concepts and detailed study of concave and convex functions. It is written in the style of a textbook, designed for courses in mathematical economics, finance, and manufacturing design. The suggested prerequisites are multivariate calculus, ordinary and elementary PDEs, and elementary probability theory."--Provided by publisher Content: Matrix algebra -- Differential calculus -- Concave and convex functions -- Concave programming -- Convex programming -- Quasi-concave functions -- Quasi-convex functions -- Log-concave functions -- Quadratic programming -- Optimal control theory -- Demands -- Black-Scholes equation.