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This wide ranging introduction to convex sets and functions is suitable for advanced undergraduates and postgraduates. Demanding only a modest knowledge of analysis and linear algebra, it discusses such diverse topics as number theory, classical extremum ...
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convex hulls 404 Support and separation 525 The boundary of a convex body 686 Mixed volumes and quermassintegrals 797 Valuations of Minkowski and Weyl and some dynamics 18711 Approximation of convex bodies and its applications 20212 Special convex bodies ...
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Preface Introductory Remarks A Guide for the Reader 1 Affine Sets 32 Convex Sets and Cones 103 The Algebra of Convex Sets and Unboundedness 609 Some Closedness Criteria 7210 Continuity of Convex Functions 8211 Separation Theorems 9512 Conjugates of Convex ...
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in Rsuperscript n 11. 1 Basic concepts 11. 2 Topological properties of convex sets 82 Separation and Polarity 212. 1 Separation of convex . Weyl39s theorem 403. 3 Extreme points and extremal subsets of a polyhedral convex set 454 Linear Programming 514. ...
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1 Convex functions 392. 2 Semi continuity of convex functions 602. 3 Conjugate functions 752. 4 The subdifferential of a convex function 792. 5 The general problem of convex programming 992. 6 Perturbed problems 1062. 7 The fundamental duality formula ...
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Convex Polyhedra is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of of faces, etc. This book includes the basics of convex polyhedra and collects the most general existence theorems ...
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From Blackwell Books GBaw
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graduate students, this text introduces the broad scope of convexity by highlighting diverse applications. Topics include convex sets, polytopes, duality, optimization, and convex functions. Exercises appear throughout the text, with solutions, hints, ...
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From Blackwell Books GBaw
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with no analytic structure 682 Some general properties of polynomially convex sets 71 Applications of the cousin problems 71 Two 83 Applications of Morse theory and algebraic topology 93 Convexity in Stein manifolds 1063 Sets of finite length 121 One ...
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Discusses the aspect of non connectivity hidden under the convexity. This book contains the classification of 100 notions of convexity, using a generalised convexity notion, which is the classifier, ordering the domain of concepts of convex sets. ...
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that the processes in question are very often non convex. This has important implications for environmental and resource economics. often assume that ecosystem and population dynamics are subject to convex even linear processes. However, research by ...
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