Quantum Field Theory and Noncommutative Geometry (Lecture

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Language: English

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In particular the old insight promoted by Grothendieck in his work, that nilpotent ideals in rings are formal duals of spaces with infinitesimal extension is typically used to model infinitesimal spaces in synthetic differential geometry. You would like to mark the location of the cement foundation to ensure that it is the correct size and shape. Using these concepts, and the intrinsic property of the first fundamental form, which only depends on the surface itself, but not in how this surface is placed in the surrounding Euclidean space, he proves the theorema egregium, that remarkable theorem over which, as a beloved professor of mine once colourfully described it, "Gauss lost his pants when he saw this."

Pages: 298

Publisher: Springer; 2005 edition (April 29, 2005)

ISBN: 3540239006

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