000			02591nam 2200301| 4500
001			84768
005			20220404162127.0
010			_a978-3-662-50447-5 _dcompra
090			_a84768
100			_a20190128d2016 k||y0pory50 ba
101			_aeng
102			_aDE
200			_aAdvances in discrete differential geometry _bDocumento eletrónico _fedited by Alexander I. Bobenko
210			_aBerlin, Heidelberg _cSpringer _d2016
215			_aX, 439 p. _cil.
300			_aColocação: Online
303			_aThis is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen. This is the paradigm of structure-preserving discretizations. Current advances in this field are stimulated to a large extent by its relevance for computer graphics and mathematical physics. This book is written by specialists working together on a common research project. It is about differential geometry and dynamical systems, smooth and discrete theories, and on pure mathematics and its practical applications. The interaction of these facets is demonstrated by concrete examples, including discrete conformal mappings, discrete complex analysis, discrete curvatures and special surfaces, discrete integrable systems, conformal texture mappings in computer graphics, and free-form architecture. This richly illustrated book will convince readers that this new branch of mathematics is both beautiful and useful. It will appeal to graduate students and researchers in differential geometry, complex analysis, mathematical physics, numerical methods, discrete geometry, as well as computer graphics and geometry processing.
606			_aGeometria diferencial global
606			_aFunções de variáveis ​​complexas
606			_aSistemas dinâmicos diferenciais
680			_aQA641
702			_aBobenko _bAlexander I. _4340 _934037
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-662-50447-5
942			_2lcc _cF _n0