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Convex Bodies and Algebraic Geometry

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Release : 1988
Genre : Mathematics
Kind : eBook
Book Rating : 000/5 ( reviews)

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Book Synopsis Convex Bodies and Algebraic Geometry by : Tadao Oda

Download or read book Convex Bodies and Algebraic Geometry written by Tadao Oda. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Convexity and Algebraic Geometry

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 441/5 ( reviews)

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Book Synopsis Combinatorial Convexity and Algebraic Geometry by : Günter Ewald

Download or read book Combinatorial Convexity and Algebraic Geometry written by Günter Ewald. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.

Selected Topics in Convex Geometry

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Release : 2006-11-24
Genre : Mathematics
Kind : eBook
Book Rating : 512/5 ( reviews)

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Book Synopsis Selected Topics in Convex Geometry by : Maria Moszynska

Download or read book Selected Topics in Convex Geometry written by Maria Moszynska. This book was released on 2006-11-24. Available in PDF, EPUB and Kindle. Book excerpt: Examines in detail those topics in convex geometry that are concerned with Euclidean space Enriched by numerous examples, illustrations, and exercises, with a good bibliography and index Requires only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory Can be used for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization

Handbook of Convex Geometry

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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 390/5 ( reviews)

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Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets. The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. Topics include elementary convexity, equality in the Aleksandrov-Fenchel inequality, mixed surface area measures, characteristic properties of convex sets in analysis and differential geometry, and extensions of the notion of a convex set. The text then reviews the standard isoperimetric theorem and stability of geometric inequalities. The manuscript takes a look at selected affine isoperimetric inequalities, extremum problems for convex discs and polyhedra, and rigidity. Discussions focus on include infinitesimal and static rigidity related to surfaces, isoperimetric problem for convex polyhedral, bounds for the volume of a convex polyhedron, curvature image inequality, Busemann intersection inequality and its relatives, and Petty projection inequality. The book then tackles geometric algorithms, convexity and discrete optimization, mathematical programming and convex geometry, and the combinatorial aspects of convex polytopes. The selection is a valuable source of data for mathematicians and researchers interested in convex geometry.

Convex Bodies: The Brunn–Minkowski Theory

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Release : 2014
Genre : Mathematics
Kind : eBook
Book Rating : 010/5 ( reviews)

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Book Synopsis Convex Bodies: The Brunn–Minkowski Theory by : Rolf Schneider

Download or read book Convex Bodies: The Brunn–Minkowski Theory written by Rolf Schneider. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

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