# Book:John B. Conway/Functions of One Complex Variable/Second Edition

## John B. Conway: *Functions of One Complex Variable (2nd Edition)*

Published $1978$, **Springer-Verlag**.

### Subject Matter

Second edition of 1973: John B. Conway: *Functions of One Complex Variable*

### Contents

- Preface
- I. The Complex Number System
- II. Metric Spaces and the Topology of $\C$
- III. Elementary Properties and Examples of Analytic Functions
- IV. Complex Integration
- V. Singularities
- VI. The Maximum Modulus Theorem
- VII. Compactness and Convergence in the Space of Analytic Functions
- VIII. Runge's Theorem
- IX. Analytic Continuation and Riemann Surfaces
- X. Harmonic Functions
- XI. Entire Functions
- XII. 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
- References
- Index
- List of Symbols