Book:John B. Conway/Functions of One Complex Variable/Second Edition
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John B. Conway: Functions of One Complex Variable (2nd Edition)
Published $\text {1978}$, 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