Abstract
We have already seen how the Residue Theorem can be used to evaluate real line integrals. The techniques involved, however, are in noway limited to real integrals. To evaluate an integral along any contour, we can always switch to a more “convenient” contour as long as we account for the pertinent residues of the integrand.
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Bak, J., Newman, D.J. (2010). Further Contour Integral Techniques. In: Complex Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7288-0_12
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DOI: https://doi.org/10.1007/978-1-4419-7288-0_12
Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4419-7288-0
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