Geometry from a Differentiable Viewpoint

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Language: English

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However, the reader will find use of prior knowledge in algebra, in particular group theory, and topology. It is remarkable that many classical objects in surface theory and submanifold theory are described as integrable systems. If the result is heterogeneous a GeometryCollection will be returned. Any point P on the tangent surface can be located by two quantities. After all, the whole point of things like manifolds is that locally about any given point the manifold looks like R^n, flat space, so by definition you're going to be able to say "Look, it seems like orthonormal basis vectors work here!".

Pages: 368

Publisher: Cambridge University Press; 2 edition (October 29, 2012)

ISBN: 0521133114

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