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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Advances in Discrete Differential Geometry
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Advances in Discrete Differential Geometry
(Taschenbuch, Englisch)
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Beschreibung
This 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. 53,49 €
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Technische Daten
Erscheinungsdatum
22.04.2018
Sprache
Englisch
EAN
9783662570616
Herausgeber
Springer Berlin
Sonderedition
Nein
Seitenanzahl
439
Auflage
Softcover reprint of the original 1st edition 2016
Einbandart
Taschenbuch
Schlagwörter
discrete conformal maps, discrete curvature, integrable systems, discrete complex analysis, triangle meshes, polyhedral surfaces
Thema-Inhalt
PBMP - Differentielle und Riemannsche Geometrie
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
GPFC - Kybernetik und Systemtheorie
UML - Grafikprogrammierung
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Vieweg, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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