The complex number system --
Metric spaces and the topology of [complex numbers set] --
Elementary properties and examples of analytic functions --
Complex integration --
Singularities --
The maximum modulus theorem --
Compactness and convergence in the space of analytic functions --
Runge's theorem --
Analytic continuation and Riemann surfaces --
Harmonic functions --
Entire functions --
The range of an analytic function --
Appendix A: Calculus for complex valued functions on an interval --
Appendix B: Suggestions for further study and bibliographical notes

This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book."--MATHSCINET.