内容

目次

Preface; 1. Why convex?; 2. Convex functions on Euclidean spaces; 3.Finer structure of Euclidean spaces; 4. Convex functions on Banach spaces; 5.Duality between smoothness and strict convexity; 6. Further analytic topics;7. Barriers and Legendre functions; 8. Convex functions and classificationsof Banach spaces; 9. Monotone operators and the Fitzpatrick function; 10.Further remarks and notes; References; Index.