Part I: Complex Analysis
The theory of analytic functions, contour integration, the residue theorem, and conformal mapping — essential tools for every physicist.
Complex Analysis Fundamentals
Analytic functions, Cauchy-Riemann, Laurent series
Contour Integration
Line integrals, Cauchy theorem, standard techniques
The Residue Theorem
Computing real integrals, branch cuts, physics applications
Conformal Mapping
Bilinear transformations, applications to electrostatics