Eliashberg Y. Complex Analysis

Stanford University, 2019. — 171 p.A textbook for Complex Analysis course at Stanford!Complex Analysis Basics
Linear algebra.
Holomorphic functions.
Differential 1-forms and their integration.
Cauchy integral formula.
Convergent power series and holomorphic functions.
Properties of holomorphic functions.
Isolated singularities, residues and meromorphic functions.
Harmonic functions.
Conformal mappings and their properties.
Riemann mapping theorem.
Riemann surfaces.
Famous meromorphic functions
Elliptic functions.
The Gamma function.
The Riemann ζ -function.A4 format