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Differential geometry books
Differential geometry books








differential geometry books differential geometry books

This richly illustrated book will convince readers that this new branch of mathematics is both beautiful and useful. 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. It is about differential geometry and dynamical systems, smooth and discrete theories, and on pure mathematics and its practical applications. This book is written by specialists working together on a common research project. Current advances in this field are stimulated to a large extent by its relevance for computer graphics and mathematical physics. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the ChernWeil theory of characteristic classes on a principal bundle.

differential geometry books

This is the paradigm of structure-preserving discretizations. This text presents a graduate-level introduction to differential geometry for mathematics and physics students. Surfaces and classical dynamical systems with continuous time can hardly be seen. Nevertheless, the difference between the corresponding smooth curves, Their curves are polygonal, surfacesĪre made from triangles and quadrilaterals, and time is discrete. The authors take a closer look at discrete models in differential It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. 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.










Differential geometry books