Convex Functions: Constructions, Characterizations and by Jonathan M. Borwein,Jon D. Vanderwerff PDF

By Jonathan M. Borwein,Jon D. Vanderwerff

ISBN-10: 0521850053

ISBN-13: 9780521850056

Like differentiability, convexity is a normal and robust estate of services that performs an important position in lots of components of arithmetic, either natural and utilized. It ties jointly notions from topology, algebra, geometry and research, and is a vital instrument in optimization, mathematical programming and online game idea. This publication, that is the made from a collaboration of over 15 years, is exclusive in that it specializes in convex features themselves, instead of on convex research. The authors discover some of the sessions and their features and purposes, treating convex services in either Euclidean and Banach areas. The booklet can both be learn sequentially for a graduate direction, or dipped into through researchers and practitioners. each one bankruptcy incorporates a number of particular examples, and over six hundred workouts are integrated, ranging in trouble from early graduate to investigate level.

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Convex Functions: Constructions, Characterizations and Counterexamples (Encyclopedia of Mathematics and its Applications) by Jonathan M. Borwein,Jon D. Vanderwerff

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