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" A course in convexity / "
Alexander Barvinok
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BL
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| Record Number
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587060
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| Doc. No
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GBA312100b416279
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| Main Entry
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Barvinok, Alexander,1963-
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| Title & Author
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A course in convexity /\ Alexander Barvinok
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| Series Statement
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Graduate studies in mathematics,; v. 54
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| Page. NO
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x, 366 pages :: illustrations ;; 27 cm
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| ISBN
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0821829688
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: 9780821829684
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| Bibliographies/Indexes
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Includes bibliographical references (pages 357-362) and index
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| Contents
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Ch. I. Convex Sets at Large -- Ch. II. Faces and Extreme Points -- Ch. III. Convex Sets in Topological Vector Spaces -- Ch. IV. Polarity, Duality and Linear Programming -- Ch. V. Convex Bodies and Ellipsoids -- Ch. VI. Faces of Polytopes -- Ch. VII. Lattices and Convex Bodies -- Ch. VIII. Lattice Points and Polyhedra
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| Abstract
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"Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computational skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. The book will also be of interest to research mathematicians, who will find some results that are recent, some that are new, and many known results that are discussed from a new perspective."--Jacket
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| Subject
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Convex geometry
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Functional analysis
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Programming (Mathematics)
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| Subject
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Convexe functies
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Convexe verzamelingen
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Funções convexas (análise funcional)
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| Dewey Classification
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516/.08
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| LC Classification
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QA639.5.B37 2002
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