This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published-by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material.

《凸分析(英文版)》内容简介：Convexity has been increasingly important in recent years in the studyof extremum problems in many areas of applied mathematics. The purposeof this book is to provide an exposition of the theory of convex sets andfunctions in which applications to extremum problems play the centralrole. Systems of inequalities, the minimum or maximum of a convex functionover a convex set, Lagrange multipliers, and minimax theorems are amongthe topics treated, as well as basic results about the structure of convexsets and the continuity and differentiability of convex functions and saddle-functions. Duality is emphasized throughout, particularly in the form ofFenchers conjugacy correspondence for convex functions.