Book contents
- Frontmatter
- Acknowledgments
- Preface to the Second Edition
- Preface to the First Edition
- Contents
- 0 Principal Ideas of Classical Function Theory
- 1 Basic Notions of Differential Geometry
- 2 Curvature and Applications
- 3 Some New Invariant Metrics
- 4 Introduction to the Bergman Theory
- 5 A Glimpse of Several Complex Variables
- Epilogue
- Appendix
- Symbols
- References
- Index
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Epilogue
Book contents
- Frontmatter
- Acknowledgments
- Preface to the Second Edition
- Preface to the First Edition
- Contents
- 0 Principal Ideas of Classical Function Theory
- 1 Basic Notions of Differential Geometry
- 2 Curvature and Applications
- 3 Some New Invariant Metrics
- 4 Introduction to the Bergman Theory
- 5 A Glimpse of Several Complex Variables
- Epilogue
- Appendix
- Symbols
- References
- Index
Summary
In complex analysis, geometric methods provide both a natural language for analyzing and recasting classical problems and also a rubric for posing new problems. The interaction between the classical and the modern techniques is both rich and rewarding.
Many facets of this symbiosis have yet to be explored. In particular, very little is known about explicitly calculating and estimating the differential invariants described in the present monograph. It is hoped that this book will spark some new interest in these matters.
- Type
- Chapter
- Information
- Complex AnalysisThe Geometric Viewpoint, pp. 189 - 190Publisher: Mathematical Association of AmericaPrint publication year: 2004