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出版者:Princeton University Press

作者:Ralph Tyrell Rockafellar

出品人:

页数:469

译者:

出版时间:1996-12-23

价格:USD 75.00

装帧:Paperback

isbn号码:9780691015866

丛书系列:Princeton Landmarks in Mathematics and Physics

图书标签:

数学
凸分析
convex
优化
Math
机器学习
analysis
Optimization

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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.