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

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By Jonathan M. Borwein,Jon D. Vanderwerff

Like differentiability, convexity is a typical and strong estate of services that performs an important position in lots of parts of arithmetic, either natural and utilized. It ties jointly notions from topology, algebra, geometry and research, and is a crucial software in optimization, mathematical programming and online game idea. This booklet, that is the manufactured 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 a number of the sessions and their features and functions, treating convex features 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. every one bankruptcy includes a number of particular examples, and over six hundred routines 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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