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Complex Analysis - Calculus in the Complex Plane

Extending calculus to complex numbers unlocks rotation, wave behavior, and powerful tricks for solving real problems

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What you'll unlock:

  • 1. Why Complex Numbers Exist: Rotation, Scaling, and the Turn of the Square Root of Minus One
  • 2. Complex Functions: Watching the Plane Bend
  • 3. The Complex Derivative and the Cauchy-Riemann Equations
  • 4. Conformal Maps: Angle-Preserving Transformations
  • 5. Contour Integration and Cauchy's Theorem
  • 6. Residues: Solving Impossible Real Integrals
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