advances discrete differential geometry (7 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -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 differentialgeometry and dynamical systems. Their curves are polygonal, surfacesare made from triangles and quadrilaterals, and time is discrete.Nevertheless, the difference between the corresponding smooth curvessurfaces 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 452 pp. Englisch.

Buch. Zustand: Neu. Neuware -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 differentialgeometry and dynamical systems. Their curves are polygonal, surfacesare made from triangles and quadrilaterals, and time is discrete.Nevertheless, the difference between the corresponding smooth curvessurfaces 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 452 pp. Englisch.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is one of the first books on a newly emergingfield of discretedifferential geometry and an excellent way to access this excitingarea. It surveys the fascinating connections between discrete modelsin differential geometry and complex analysis, integrable systems andapplications in computer graphics.The authors take a closer look at discrete models in differentialgeometry and dynamical systems. Their curves are polygonal, surfacesare made from triangles and quadrilaterals, and time is discrete.Nevertheless, the difference between the corresponding smooth curves,surfaces and classicaldynamical systems with continuoustime canhardly be seen. This is the paradigm ofstructure-preservingdiscretizations. Current advances in this field are stimulated to alarge extent by its relevance for computer graphics and mathematicalphysics. This book is written by specialists working together on acommon research project. It is about differential geometry anddynamical systems, smooth and discrete theories, and on puremathematics and its practical applications. The interaction of thesefacets is demonstrated by concrete examples, including discreteconformal mappings, discrete complex analysis, discrete curvatures andspecial surfaces, discrete integrablesystems, conformal texturemappings in computer graphics, and free-form architecture.This richly illustrated book will convincereaders that this newbranch of mathematics is both beautiful and useful. It will appeal tograduate students and researchers in differential geometry, complexanalysis, mathematical physics, numerical methods, discrete geometry,as well as computer graphics and geometry processing.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is one of the first books on a newly emergingfield of discretedifferential geometry and an excellent way to access this excitingarea. It surveys the fascinating connections between discrete modelsin differential geometry and complex analysis, integrable systems andapplications in computer graphics.The authors take a closer look at discrete models in differentialgeometry and dynamical systems. Their curves are polygonal, surfacesare made from triangles and quadrilaterals, and time is discrete.Nevertheless, the difference between the corresponding smooth curves,surfaces and classicaldynamical systems with continuoustime canhardly be seen. This is the paradigm ofstructure-preservingdiscretizations. Current advances in this field are stimulated to alarge extent by its relevance for computer graphics and mathematicalphysics. This book is written by specialists working together on acommon research project. It is about differential geometry anddynamical systems, smooth and discrete theories, and on puremathematics and its practical applications. The interaction of thesefacets is demonstrated by concrete examples, including discreteconformal mappings, discrete complex analysis, discrete curvatures andspecial surfaces, discrete integrablesystems, conformal texturemappings in computer graphics, and free-form architecture.This richly illustrated book will convincereaders that this newbranch of mathematics is both beautiful and useful. It will appeal tograduate students and researchers in differential geometry, complexanalysis, mathematical physics, numerical methods, discrete geometry,as well as computer graphics and geometry processing.

Zustand: New. In.

Zustand: New. In.

Hardcover. Zustand: Brand New. 452 pages. 9.25x6.25x1.25 inches. In Stock.