000			03577nam a22005415i 4500
001			978-3-7643-8621-4
003			DE-He213
005			20161121231216.0
007			cr nn 008mamaa
008			100301s2008 sz | s |||| 0|eng d
020			_a9783764386214 _9978-3-7643-8621-4
024	7		_a10.1007/978-3-7643-8621-4 _2doi
050		4	_aQA639.5-640.7
050		4	_aQA640.7-640.77
072		7	_aPBMW _2bicssc
072		7	_aPBD _2bicssc
072		7	_aMAT012020 _2bisacsh
072		7	_aMAT008000 _2bisacsh
082	0	4	_a516.1 _223
245	1	0	_aDiscrete Differential Geometry _h[electronic resource] / _cedited by Alexander I. Bobenko, John M. Sullivan, Peter Schröder, Günter M. Ziegler.
264		1	_aBasel : _bBirkhäuser Basel, _c2008.
300			_aX, 341 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aOberwolfach Seminars ; _v38
505	0		_aDiscretization 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 Green’s 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.
520			_aDiscrete 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.
650		0	_aMathematics.
650		0	_aConvex geometry.
650		0	_aDiscrete geometry.
650		0	_aDifferential geometry.
650	1	4	_aMathematics.
650	2	4	_aConvex and Discrete Geometry.
650	2	4	_aDifferential Geometry.
700	1		_aBobenko, Alexander I. _eeditor.
700	1		_aSullivan, John M. _eeditor.
700	1		_aSchröder, Peter. _eeditor.
700	1		_aZiegler, Günter M. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783764386207
830		0	_aOberwolfach Seminars ; _v38
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-7643-8621-4
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510161 _d510161