Extrinsic Geometry of Convex Surfaces
Author: Alekseĭ Vasilʹevich Pogorelov
Publisher: American Mathematical Soc.
Published: 1973
Total Pages: 680
ISBN-13: 9780821886618
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Extrinsic Geometry of Convex Surfaces
Author: Alekseĭ Vasilʹevich Pogorelov
Publisher:
Published: 1973
Total Pages: 677
ISBN-13: 9781470444501
DOWNLOAD EBOOK →Extrinsic Geometry of Convex Surfaces
Author: A. V. Pogorelov
Publisher:
Published: 1973
Total Pages: 669
ISBN-13: 9780706512618
DOWNLOAD EBOOK →Convex Surfaces
A.D. Alexandrov
Author: S.S. Kutateladze
Publisher: CRC Press
Published: 2005-07-25
Total Pages: 444
ISBN-13: 113442907X
DOWNLOAD EBOOK →A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and r
Geometry III
Author: Yu.D. Burago
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 263
ISBN-13: 3662027518
DOWNLOAD EBOOK →A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.
Differential Geometry of Curves and Surfaces
Author: Victor Andreevich Toponogov
Publisher: Springer Science & Business Media
Published: 2006-09-10
Total Pages: 215
ISBN-13: 0817644024
DOWNLOAD EBOOK →Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels
Convex Surfaces
Author: Herbert Busemann
Publisher: Courier Corporation
Published: 2013-11-07
Total Pages: 210
ISBN-13: 0486154998
DOWNLOAD EBOOK →This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
Convex and Discrete Geometry
Author: Peter M. Gruber
Publisher: Springer Science & Business Media
Published: 2007-05-17
Total Pages: 590
ISBN-13: 3540711333
DOWNLOAD EBOOK →Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.
Handbook of Convex Geometry
Author: Bozzano G Luisa
Publisher: Elsevier
Published: 2014-06-28
Total Pages: 803
ISBN-13: 0080934390
DOWNLOAD EBOOK →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.
