complex-analysis
Limits of complex functions
taught
The epsilon-delta limit definition transplanted to C, where "approach" means from every direction in the plane at once.
Taught in
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Functions of a complex variable
Complex Analysis
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Limits of complex functions
Complex Analysis
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Limits via real and imaginary parts
Complex Analysis
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Limits and the point at infinity
Complex Analysis
Requires
- complex-plane-topology required
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limit-definition-intuition
helpful
Same epsilon-delta shape as the real-variable limit, generalized to a 2D approach.
Required by
- Continuity of complex functions required
- Convergence of complex power series required
- The Riemann sphere and the extended complex plane 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.