1# Library to Find Best eBook for Read
Author : George Shapiro
Release : 2009
Genre : Differential topology
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis On the Discrete Differential Geometry of Surfaces in S4 by : George Shapiro
Download or read book On the Discrete Differential Geometry of Surfaces in S4 written by George Shapiro. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander I. Bobenko TU Berlin
Release : 2008-03-27
Genre : Mathematics
Kind : eBook
Book Rating : 215/5 ( reviews)
Book Synopsis Discrete Differential Geometry by : Alexander I. Bobenko TU Berlin
Download or read book Discrete Differential Geometry written by Alexander I. Bobenko TU Berlin. This book was released on 2008-03-27. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.
Author : Francis E. Burstall
Release : 2004-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 016/5 ( reviews)
Book Synopsis Conformal Geometry of Surfaces in S4 and Quaternions by : Francis E. Burstall
Download or read book Conformal Geometry of Surfaces in S4 and Quaternions written by Francis E. Burstall. This book was released on 2004-10-19. Available in PDF, EPUB and Kindle. Book excerpt: The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.
Author : David Xianfeng Gu
Release : 2023-01-31
Genre : Computers
Kind : eBook
Book Rating : 461/5 ( reviews)
Book Synopsis Classical and Discrete Differential Geometry by : David Xianfeng Gu
Download or read book Classical and Discrete Differential Geometry written by David Xianfeng Gu. This book was released on 2023-01-31. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks. With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and complexes, and to images, meshes and networks. The first part of the book is a differential geometric study of curves and surfaces in the Euclidean space, enhanced while the second part deals with higher dimensional manifolds centering on curvature by exploring the various ways of extending it to higher dimensional objects and more general structures and how to return to lower dimensional constructs. The third part focuses on computational algorithms in algebraic topology and conformal geometry, applicable for surface parameterization, shape registration and structured mesh generation. The volume will be a useful reference for students of mathematics and computer science, as well as researchers and engineering professionals who are interested in graphics and imaging, complex networks, differential geometry and curvature.
Author : Alexander I. Bobenko
Release : 2016-08-12
Genre : Mathematics
Kind : eBook
Book Rating : 472/5 ( reviews)
Book Synopsis Advances in Discrete Differential Geometry by : Alexander I. Bobenko
Download or read book Advances in Discrete Differential Geometry written by Alexander I. Bobenko. This book was released on 2016-08-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.
