Journey into the beautiful world of complex functions through 79 interactive demonstrations.
See also: Real Analysis for the rigorous epsilon-delta foundations behind analytic functions, Fourier Analysis for contour integration applied to evaluating Fourier transforms, and Topology for the role of winding numbers in the residue theorem.
Master complex arithmetic, polar form, and the geometry of the complex plane
Explore elementary complex functions with stunning domain coloring visualizations
Discover complex differentiability and the Cauchy-Riemann equations
Draw paths and integrate along them - Cauchy's theorems come alive
Taylor series, Laurent series, and the classification of singularities
The most powerful computational tool - solve real integrals via complex methods
Beautiful angle-preserving transformations and the Joukowsky airfoil
Fluid dynamics, electrostatics, signal processing, and quantum mechanics
Free exploration - plot functions, integrate contours, explore mappings
Challenge yourself with questions covering all complex analysis concepts