Advances in discrete differential geometry springerlink. On the other hand, it is addressed to specialists in geometry and mathematical physics. Alternative analytic description of conjugate nets 3 1. This is the first book on a newly emerging field of discret. Dear prof arkady, here is a nice book on lie sphere geometry. In the meantime, i was able to find a book by bobenko and suris. It reflects the recent progress in discrete differential geometry and contains many original results.
Discrete differential geometry graduate studies in mathematics. On the other hand, discrete geometric structures have also proven to be. This article belongs to the special issue discrete differential geometry and its. It is about differential geometry and dynamical systems, smooth and discrete theories, and on pure mathematics and its practical applications. Whereas classical differential geometry investigates smooth geometric shapes such as surfaces, and discrete geometry studies geometric shapes with finite number of elements such as polyhedra, the discrete differential geometry aims at the development of discrete equivalents of notions and methods of smooth surface theory. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of integrable systems.
A comparative study of several classical, discrete differential and. Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. Discrete differential geometry graduate studies in mathematics hardcover december 16, 2008. Discrete differential geometry graduate studies in.
It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. For a given smooth geometry one can suggest many different discretizations. This book is written by specialists working together on a common research project. The goal of this book is to give a systematic presentation of current achievements in.
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