Advances in Discrete Differential Geometry
by Alexander I. Bobenko (ed.)
Publisher: Springer 2016
Number of pages: 439
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.
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by Sigmundur Gudmundsson - Lund University
These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.
by Luther Pfahler Eisenhart - Princeton University Press
Most of the transformations are reducible to transformations F or to transformations of the type such that a surface and a transform are focal surfaces of a W congruence. It is the purpose of this book to develop these two types of transformations.
by Dave Auckly - arXiv
This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.
by Martin A. Guest - arXiv
This is an introduction to some of the analytic aspects of quantum cohomology. The small quantum cohomology algebra, regarded as an example of a Frobenius manifold, is described without going into the technicalities of a rigorous definition.