Discrete Differential Geometry by Alexander I. Bobenko TU Berlin (English) Paper

Description: Discrete Differential Geometry by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, GÜnter M. Ziegler Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field. Notes First book on a newly emerging field of discrete differential geometry, provides an excellent way to access this new exciting areaCarefully edited collection of essays by key researchers in the fieldSurveys fascinating connections between discrete geometry and differential geometry: for instance circle patterns and triangulated surfaces on the discrete side connect to minimal surfaces and curvature line parametrizations on the differential side Table of Contents Discretization of Surfaces: Special Classes and Parametrizations.- Surfaces from Circles.- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples.- Designing Cylinders with Constant Negative Curvature.- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces.- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow.- The Discrete Greens Function.- Curvatures of Discrete Curves and Surfaces.- Curves of Finite Total Curvature.- Convergence and Isotopy Type for Graphs of Finite Total Curvature.- Curvatures of Smooth and Discrete Surfaces.- Geometric Realizations of Combinatorial Surfaces.- Polyhedral Surfaces of High Genus.- Necessary Conditions for Geometric Realizability of Simplicial Complexes.- Enumeration and Random Realization of Triangulated Surfaces.- On Heuristic Methods for Finding Realizations of Surfaces.- Geometry Processing and Modeling with Discrete Differential Geometry.- What Can We Measure?.- Convergence of the Cotangent Formula: An Overview.- Discrete Differential Forms for Computational Modeling.- A Discrete Model of Thin Shells. Long Description Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field. Feature First book on a newly emerging field of discrete differential geometry, provides an excellent way to access this new exciting area Carefully edited collection of essays by key researchers in the field Surveys fascinating connections between discrete geometry and differential geometry: for instance circle patterns and triangulated surfaces on the discrete side connect to minimal surfaces and curvature line parametrizations on the differential side Details ISBN3764386207 Short Title DISCRETE DIFFERENTIAL GEOMETRY Pages 341 Series Oberwolfach Seminars Language English ISBN-10 3764386207 ISBN-13 9783764386207 Media Book Format Paperback DEWEY 516.36 Series Number 38 Year 2008 Imprint Birkhauser Verlag AG Place of Publication Basel Country of Publication Switzerland Edited by GÜnter M. Ziegler DOI 10.1604/9783764386207;10.1007/978-3-7643-8621-4 Author GÜnter M. Ziegler Publisher Birkhauser Verlag AG Edition Description 2008 ed. Edition 2008th Publication Date 2008-01-17 Illustrations X, 341 p. Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96330070;

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