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

John B. Conway: Functions of One Complex Variable

Published $\text {1973}$, Springer-Verlag

Subject Matter

• Complex Analysis

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

Further Editions

• 1978: John B. Conway: Functions of One Complex Variable (2nd ed.)