Mathematical Methods in Classical and Quantum Mechanics
The Cauchy Integral Formula is a fundamental result in complex analysis that expresses the value of a holomorphic function inside a closed curve in terms of the values of the function on the curve itself. It provides a powerful method for calculating complex integrals and establishes the connection between the values of analytic functions and their derivatives within a given domain. This formula not only simplifies the evaluation of integrals but also highlights the importance of singularities in complex functions.
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