Convex Sets and Their Applications

Lay, Steven R.

ISBN 10: 0471095842 / ISBN 13: 9780471095842

Editore: Wiley & Sons, Incorporated, John, 1982

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Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Codice articolo GRP76418130

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Titolo: Convex Sets and Their Applications

Casa editrice: Wiley & Sons, Incorporated, John

Data di pubblicazione: 1982

Legatura: Rilegato

Condizione: Good

Edizione: 1 Edition.

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Riassunto:

A comprehensive textbook on convex sets. Develops the fundamental theory of convex sets, and discusses recent advances in mathematical research. Illustrates several important polytopes, including the four-dimensional case, and develops the theory of dual cones from a new perspective. Also considers linear programming, game theory, and convex functions. Contains over 475 exercises of varying difficulty, many with answers, hints, and references.

Product Description:

[XVI, 244 p. ; 24 cm.] (Pure and applied mathematics) [NUOVO (Copertina rigida con sovracoperta)] [DESCRIZIONE : A comprehensive textbook on convex sets. Develops the fundamental theory of convex sets, and discusses recent advances in mathematical research. Illustrates several important polytopes, including the four-dimensional case, and develops the theory of dual cones from a new perspective. Also considers linear programming, game theory, and convex functions. Contains over 475 exercises of varying difficulty, many with answers, hints, and references.] [CONTENTS : 1. Fundamentals 2. Hyperplanes 3. Helly-type theorems 4. Kirchberger-type theorems 5. Special topics in E² 6. Families of convex sets 7. Charaterizations of convex sets 8. Polytopes 9. Duality 10. Optimization 11. Convex functions - Solutions, hints, and references for exercices - Bibliography - Index]