Discrete Differential Geometry: An Applied Introduction
by M. Desbrun, P. Schroeder, M. Wardetzky
Publisher: Columbia University 2008
Number of pages: 103
This new and elegant area of mathematics has exciting applications, as this course demonstrates by presenting practical examples in geometry processing (surface fairing, parameterization, and remeshing) and simulation (of cloth, shells, rods, and fluids).
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by Linfan Mao - InfoQuest
Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.
by Thomas Banchoff, Terence Gaffney, Clint McCrory - Pitman Advanced Pub. Program
Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.
by V. Ovsienko, S. Tabachnikov - Cambridge University Press
This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.
by Taha Sochi - viXra
A collection of notes about differential geometry prepared as part of tutorials about topics and applications related to tensor calculus. They can be used as a reference for a first course on the subject or as part of a course on tensor calculus.