Theory Of Convex Bodies
Download Theory Of Convex Bodies full books in PDF, epub, and Kindle. Read online free Theory Of Convex Bodies ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Rolf Schneider |
Publisher |
: Cambridge University Press |
Total Pages |
: 759 |
Release |
: 2014 |
ISBN-10 |
: 9781107601017 |
ISBN-13 |
: 1107601010 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Convex Bodies: The Brunn–Minkowski Theory by : Rolf Schneider
A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.
Author |
: Tommy Bonnesen |
Publisher |
: |
Total Pages |
: 192 |
Release |
: 1987 |
ISBN-10 |
: UOM:39015015605523 |
ISBN-13 |
: |
Rating |
: 4/5 (23 Downloads) |
Synopsis Theory of Convex Bodies by : Tommy Bonnesen
Author |
: Silouanos Brazitikos |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 618 |
Release |
: 2014-04-24 |
ISBN-10 |
: 9781470414566 |
ISBN-13 |
: 1470414562 |
Rating |
: 4/5 (66 Downloads) |
Synopsis Geometry of Isotropic Convex Bodies by : Silouanos Brazitikos
The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely linked to many other fields, such as probability theory, partial differential equations, Riemannian geometry, harmonic analysis and combinatorics. It is now understood that the convexity assumption forces most of the volume of a high-dimensional convex body to be concentrated in some canonical way and the main question is whether, under some natural normalization, the answer to many fundamental questions should be independent of the dimension. The aim of this book is to introduce a number of well-known questions regarding the distribution of volume in high-dimensional convex bodies, which are exactly of this nature: among them are the slicing problem, the thin shell conjecture and the Kannan-Lovász-Simonovits conjecture. This book provides a self-contained and up to date account of the progress that has been made in the last fifteen years.
Author |
: Gilles Pisier |
Publisher |
: Cambridge University Press |
Total Pages |
: 270 |
Release |
: 1999-05-27 |
ISBN-10 |
: 052166635X |
ISBN-13 |
: 9780521666350 |
Rating |
: 4/5 (5X Downloads) |
Synopsis The Volume of Convex Bodies and Banach Space Geometry by : Gilles Pisier
A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.
Author |
: Tadao Oda |
Publisher |
: Springer |
Total Pages |
: 0 |
Release |
: 2012-02-23 |
ISBN-10 |
: 364272549X |
ISBN-13 |
: 9783642725494 |
Rating |
: 4/5 (9X Downloads) |
Synopsis Convex Bodies and Algebraic Geometry by : Tadao Oda
The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications found since toric varieties were introduced in the early 1970's. It is an updated and corrected English edition of the author's book in Japanese published by Kinokuniya, Tokyo in 1985. Toric varieties are here treated as complex analytic spaces. Without assuming much prior knowledge of algebraic geometry, the author shows how elementary convex figures give rise to interesting complex analytic spaces. Easily visualized convex geometry is then used to describe algebraic geometry for these spaces, such as line bundles, projectivity, automorphism groups, birational transformations, differential forms and Mori's theory. Hence this book might serve as an accessible introduction to current algebraic geometry. Conversely, the algebraic geometry of toric varieties gives new insight into continued fractions as well as their higher-dimensional analogues, the isoperimetric problem and other questions on convex bodies. Relevant results on convex geometry are collected together in the appendix.
Author |
: Tadao Oda |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 1983 |
ISBN-10 |
: OCLC:1226659268 |
ISBN-13 |
: |
Rating |
: 4/5 (68 Downloads) |
Synopsis Convex bodies and algebraic geometry : an introduction to the theory of toric varieties by : Tadao Oda
Author |
: Paul J. Kelly |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2009 |
ISBN-10 |
: 0486469808 |
ISBN-13 |
: 9780486469805 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Geometry and Convexity by : Paul J. Kelly
This text assumes no prerequisites, offering an easy-to-read treatment with simple notation and clear, complete proofs. From motivation to definition, its explanations feature concrete examples and theorems. 1979 edition.
Author |
: Bozzano G Luisa |
Publisher |
: Elsevier |
Total Pages |
: 769 |
Release |
: 2014-06-28 |
ISBN-10 |
: 9780080934402 |
ISBN-13 |
: 0080934404 |
Rating |
: 4/5 (02 Downloads) |
Synopsis Handbook of Convex Geometry by : Bozzano G Luisa
Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.
Author |
: Daniel Hug |
Publisher |
: Springer Nature |
Total Pages |
: 287 |
Release |
: 2020-08-27 |
ISBN-10 |
: 9783030501808 |
ISBN-13 |
: 3030501809 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Lectures on Convex Geometry by : Daniel Hug
This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations. Finally, an introduction to integral-geometric formulas in Euclidean space is provided. The numerous exercises and the supplementary material at the end of each section form an essential part of the book. Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.
Author |
: Maria Moszynska |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 223 |
Release |
: 2006-11-24 |
ISBN-10 |
: 9780817644512 |
ISBN-13 |
: 0817644512 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Selected Topics in Convex Geometry by : Maria Moszynska
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