Read e-book online Convex Functions: Constructions, Characterizations and PDF

By Jonathan M. Borwein,Jon D. Vanderwerff

ISBN-10: 0521850053

ISBN-13: 9780521850056

Like differentiability, convexity is a usual and robust estate of services that performs an important function in lots of components of arithmetic, either natural and utilized. It ties jointly notions from topology, algebra, geometry and research, and is a crucial device in optimization, mathematical programming and online game concept. This booklet, that's the fabricated from a collaboration of over 15 years, is exclusive in that it makes a speciality of convex features themselves, instead of on convex research. The authors discover a number 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 path, or dipped into by means of researchers and practitioners. each one bankruptcy encompasses a number of particular examples, and over six hundred routines are incorporated, ranging in hassle from early graduate to analyze 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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