Convex Sets and Their Applications

Name: Convex Sets and Their Applications
Price: 10.95 USD
Availability: InStock
ISBN: 9780486458038

ISBN-10: 0486458032

ISBN-13: 9780486458038

Edition: 2007

Authors: Steven R. Lay

List price: $14.95

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Description:

Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity bynbsp;highlightingnbsp;diverse applications. Topics include families and characterizations of polytopes, duality, optimization, and convex functions. Exercises appear throughout the text, with solutions, hints, and references at the end. 1982 edition.

Book details

List price: $14.95
Copyright year: 2007
Publisher: Dover Publications, Incorporated
Publication date: 6/5/2007
Binding: Paperback
Pages: 256
Size: 5.50" wide x 8.25" long x 0.50" tall
Weight: 0.594
Language: English




Fundamentals



Linear Algebra and Topology



Convex Sets



Hyperplanes



Hyperplanes and Linear Functionals



Separating Hyperplanes



Supporting Hyperplanes



Helly-Type Theorems



Helly's Theorem



Kirchberger's Theorem



Kirchberger-type Theorems



Separation by a Spherical Surface



Separation by a Cylinder



Separation by a Parallelotope



Special Topics in E[superscript 2]



Sets of Constant Width



Universal Covers



The Isoperimetric Problem



Families of Convex Sets



Parallel Bodies



The Blaschke Selection Theorem



The Existence of Extremal Sets



Characterizations of Convex Sets



Local Convexity



Local Support Properties



Nearest-Point Properties



Polytopes



The Faces of a Polytope



Special Types of Polytopes and Euler's Formula



Approximation by Polytopes



Duality



Polarity and Polytopes



Dual Cones



Optimization



Finite Matrix Games



Linear Programming



The Simplex Method



Convex Functions



Basic Properties



Support and Distance Functions



Continuity and Differentiability


Solutions, Hints, and References for Exercises


Bibliography


Index