Advances in Discrete Differential Geometry
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 72.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
22.04.2018
Herausgeber
Alexander I. BobenkoVerlag
Springer BerlinSeitenzahl
439
Maße (L/B/H)
23.5/15.5/2.5 cm
Gewicht
680 g
Auflage
Softcover reprint of the original 1st edition 2016
Sprache
Englisch
ISBN
978-3-662-57061-6
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.
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