Description
Book SynopsisPresents readers with a coherent branch of nonlinear mathematical analysis that is suited to the study of optimization problems. This volume treats the topics such as: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, and more.
Trade Review"This book should remain for some years as the standard reference for anyone interested in convex analysis."--J. D. Pryce, Edinburgh Mathematical Society
Table of Contents*Frontmatter, pg. i*Preface, pg. vii*Contents, pg. ix*Introductory Remarks: A Guide Jar the Reader, pg. xi*Part I. Basic Concepts, pg. 1*Part II. Topological Properties, pg. 41*Part III. Duality Correspondences, pg. 93*Part IV. Representation and Inequalities, pg. 151*Part V. Differential Theory, pg. 211*Part VI. Constrained Extremum Problems, pg. 261*Part VII. Saddle-Functions and Minimax Theory, pg. 347*Part VIII. Convex Algebra, pg. 399*Comments and References, pg. 425*Bibliography, pg. 433*Index, pg. 447
