A text on complex analysis, treating important results from different angles, presenting a unique viewpoint on complex analysis: that of a geometric function theorist and a broadly trained and published analyst. Features enough material for an entire course in complex analysis, with basic material and upper-level course material. Also features exercises. For graduate students.
Ch1. Calculus
Ch2. Cauchy integral theorem and Cauchy integral formula
Ch3. Theory of series of Weierstrass
Ch4. Riemann mapping theorem
Ch5. Differential geometry and Picard theorem
Ch6. Elementary facts on several complex variables