complex-analysis
Cauchy-Goursat theorem
taught
The integral of a function analytic throughout a simple closed contour and its interior is zero -- the theorem the rest of the course is built on.
Taught in
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The Cauchy-Goursat theorem
Complex Analysis
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Simply and multiply connected domains
Complex Analysis
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Contour deformation
Complex Analysis
Requires
- contour-integration required
- complex-differentiability required
Required by
- Cauchy integral formula required
- Residue theorem required
Local knowledge map
Local knowledge map
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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.