內容涵蓋：
Complex-valued functions on domains inside the complex plane; basic general theory of these analytic functions; Cauchy theorem and Cauchy's integral theorem; calculus of Residues; local properties of analytic functions; power series; Harmonic functions; entire functions; normal families of analytic functions; Euler's Gamma function; Riemann's zeta function; Elliptic functions; Weierstrass theory; Picard's theorem.