Chapman and Hall/CRC
Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces
Why Convexity? Basic Ideas. Functions. More on Functions. Applications. More sophisticated Ideas. The MiniMax Theorem. Concluding Remarks. Appendix: Technical Tools. Table of Notation. Glossary.