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Complex Analysis

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Chapter 9: Homotopy Versions of Cauchy’s Theorem

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Chapter 9: Homotopy Versions of Cauchy’s Theorem

pp. 187-206

Authors

Ian Stewart
, University of Warwick,
David Tall
, University of Warwick
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Integration of analytic functions along paths. Homotopy, with fixed endpoints, for closed paths. Cauchy's Theorem for a boundary, for homotopic paths with fixed endpoints and for homotopic closed paths. Various versions of Cauchy's Theorem all build on the local existence of an antiderivative and the Fundamental Theorem of Contour Integration.

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