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

By Jonathan M. Borwein,Jon D. Vanderwerff

Like differentiability, convexity is a traditional 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 crucial device in optimization, mathematical programming and online game idea. This publication, that's the made 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 many of the sessions and their features and functions, treating convex services in either Euclidean and Banach areas. The e-book can both be learn sequentially for a graduate path, or dipped into via 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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