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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Advances in Discrete Differential Geometry (Hardcover, 1st ed. 2016)
Loot Price: R2,124
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Advances in Discrete Differential Geometry (Hardcover, 1st ed. 2016)
Expected to ship within 12 - 17 working days
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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.
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