Convex Analysis
eBook - PDF

Convex Analysis

  1. 470 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Convex Analysis

About this book

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.

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Table of contents

  1. Cover
  2. Title
  3. Copright
  4. Dedication
  5. Preface
  6. Contents
  7. Introductory Remarks: a Guide for the Reader
  8. PART I: BASIC CONCEPTS
  9. PART II: TOPOLOGICAL PROPERTIES
  10. PART III: DUALITY CORRESPONDENCES
  11. PART IV: REPRESENTATION AND INEQUALITIES
  12. PART V: DIFFERENTIAL THEORY
  13. PART VI: CONSTRAINED EXTREMUM PROBLEMS
  14. PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY
  15. PART VIII: CONVEX ALGEBRA
  16. Comments and References
  17. Bibliography
  18. Index

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Yes, you can access Convex Analysis by Ralph Tyrell Rockafellar in PDF and/or ePUB format, as well as other popular books in Mathematics & Optimization. We have over one million books available in our catalogue for you to explore.