《Discrete Convex Analysis》 discrete convex analysis” integer-valued functions defined integerlattice points. theoryparallels ordi-nary convex analysis, covering discrete analogues fundamentalcon.

Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle-functions. This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading.

凸分析（史树中） 作者: 史树中 出版社: 上海科学技术出版社 出版年: 1990.04 页数: 194

Rockafellar大名就无需多加介绍，他的这本凸分析虽出版多年，但经久不衰，已经是优化、分析等多个学科的基础性书籍。

《Convex Analysis and Optimization》凸分析与最优化-中科大讲义 英文

MIT 凸分析与优化方面的课件， 中文版的。

关于凸分析和最优化的经典教材，机器学习重要参考书。

凸分析与非光滑分析(胡毓达) 作者: 胡毓达 / 孟志青 出版社: 上海科学技术出版社 出版年: 2000

Convex Analysis R.TYRREll Rock Affellar 学习凸分析的经典之作

经典的凸分析教材，适合数学系研究生和博士生使用