Fundamentals of Convex Analysis (Grundlehren Text Editions)

Description:

This book is an abridged version of the two volumes "Convex Analysis and Minimization Algorithms I and II" (Grundlehren der mathematischen Wissenschaften Vol. 305 and 306), which presented an introduction to the basic concepts in convex analysis and a study of convex minimization problems. The "backbone" of both volumes was extracted, some material deleted that was deemed too advanced for an introduction, or too closely related to numerical algorithms. Some exercises were included and finally the index has been considerably enriched. The main motivation of the authors was to "light the entrance" of the monument Convex Analysis. This book is not a reference book to be kept on the shelf by experts who already know the building and can find their way through it; it is far more a book for the purpose of learning and teaching.

subjects: Convex sets,  Convex functions,  Mathematical analysis,  Calculus & mathematical analysis,  Mathematical theory of computation,  Functions Of Real Variables,  Linear Programming,  Mathematics,  Science/Mathematics,  Applied,  Calculus,  Convex analysis,  Mathematics / Calculus,  Mathematics / Linear Programming,  Mathematics : Applied,  Mathematics : Linear Programming,  mathematical programming,  nondifferentiable optimization,  Functional Analysis,  Systems theory