Winding around the winding number in topology, geometry, and analysis
Prelude: Love, Hate, and ExponentialsPaths and Homotopies -- The Winding Number -- Topology of the Plane -- Integrals and the Winding Number -- Vector Fields and the Rotation Number -- The Winding Number in Functional Analysis -- Coverings and the Fundamental Group -- Coda: The Bott Periodicity Theo...
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