Space is doing things again.
This section builds visual and computational intuition for complex numbers, analytic functions, integration, vector fields, and the major theorems of vector calculus.
Learning path
1Complex PlaneOpen chapter
2Functions, Limits, DifferentiabilityOpen chapter
3Cauchy-RiemannOpen chapter
4Harmonic ConjugatesOpen chapter
5Conformal MappingOpen chapter
6Mobius TransformationsOpen chapter
7Contour IntegrationOpen chapter
8Cauchy Integral FormulaOpen chapter
9Taylor, Laurent, ResiduesOpen chapter
10Double IntegralsOpen chapter
11Change of VariablesOpen chapter
12Triple IntegralsOpen chapter
13Line Integrals and Green's TheoremOpen chapter
14Surface Integrals and Stokes' TheoremOpen chapter
15Divergence TheoremOpen chapter
16Formula SheetOpen formula sheet