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15 Cards in this Set
- Front
- Back
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Cauchy Riemann equations |
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The real and imaginary parts of an analytic function are harmonic |
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Define a branch point |
A point which is impossible to encircle with an arbitrarily small curve st the function is both continuous and real valued |
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A Mobius map sends circlines to circlines |
Model as a circle of Apollonius |
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Define a conformal map |
An analytic function between open subsets of C which had nonzero derivative |
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A conformal map preserves angles between intersecting curves |
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Action of (z-1)/(z+1) on C |
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Solving Laplace's equation on difficult domain |
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Define a contour |
A piecewise smooth curve |
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Define contour integral |
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Define simply connected domain |
Any closed curve only encircles points in the domain |
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State Cauchy's Theorem |
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State Cauchy's integral formula |
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Formula for residue at pole of order N |
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Residue theorem |
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