Loop Spaces, Characteristic Classes and Geometric

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The first result in symplectic topology is probably the Poincaré-Birkhoff theorem, conjectured by Henri Poincaré and then proved by G. From this set of 'equal' vectors you'd then convert into spherical coordinates and see if the system displayed spherical symmetry. The equation theory of the Arabs has been a powerful tool for symbolic manipulation, whereas the proof theory of the Greeks has provided a method (the axiomatic method) for isolating and codifying key aspects of algebraic systems that are then studied in their own right.

Pages: 295

Publisher: Birkhauser Verlag AG (December 1992)

ISBN: 3764336447

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Lectures on Differential Geometry

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