Download Analysis On Manifolds (Advanced Books Classics) PDF

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A special case of this is a Lorentzian manifold, which is the mathematical basis of Einstein's general relativity theory of gravity. Symplectic geometry has applications in Hamiltonian mechanics, a branch of theoretical mechanics. For example, every great circle on a sphere is a geodesic, since the principal normal to the great circle is a normal to the sphere. Topology provides a formal language for qualitative mathematics whereas geometry is mainly quantitative.

Pages: 380

Publisher: Westview Press (July 7, 1997)

ISBN: 0201315963

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