Elements of concave analysis and applications

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.