Overview

This reference book gives the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering.

Content and Approach

The presentation of the theory is self-contained and the proof of all the essential results is given.

Examples and Applications

The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material.

Advanced Topics

Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in order to generate numerical algorithms.