Book contents
- Frontmatter
- Dedication
- Contents
- ACKNOWLEDGEMENTS
- CHAPTER 1 Prologue
- CHAPTER 2 Conjugate Coordinates in the Plane
- CHAPTER 3 Elementary Geometrical Facts
- CHAPTER 4 The Nine-Point Circle
- CHAPTER 5 The Schwarz Function for an Analytic Arc
- CHAPTER 6 Geometrical Interpretation of the Schwarz Function; Schwarzian Reflection
- CHAPTER 7 The Schwarz Function and Differential Geometry
- CHAPTER 8 Conformal Maps, Reflections, and their Algebra
- CHAPTER 9 What Figure is the Power of a Circle?
- CHAPTER 10 Properties in the Large of the Schwarz Function
- CHAPTER 11 Derivatives and Integrals
- CHAPTER 12 Application to Elementary Fluid Mechanics
- CHAPTER 13 The Schwarz Function and the Dirichlet Problem
- CHAPTER 14 Schwarz Functions of Specified Type
- CHAPTER 15 Schwarz Functions and Iterations
- CHAPTER 16 Dictionary of Functional Relationships
- CHAPTER 17 Bibliographical and Supplementary Notes
- Bibliography
- INDEX
CHAPTER 7 - The Schwarz Function and Differential Geometry
- Frontmatter
- Dedication
- Contents
- ACKNOWLEDGEMENTS
- CHAPTER 1 Prologue
- CHAPTER 2 Conjugate Coordinates in the Plane
- CHAPTER 3 Elementary Geometrical Facts
- CHAPTER 4 The Nine-Point Circle
- CHAPTER 5 The Schwarz Function for an Analytic Arc
- CHAPTER 6 Geometrical Interpretation of the Schwarz Function; Schwarzian Reflection
- CHAPTER 7 The Schwarz Function and Differential Geometry
- CHAPTER 8 Conformal Maps, Reflections, and their Algebra
- CHAPTER 9 What Figure is the Power of a Circle?
- CHAPTER 10 Properties in the Large of the Schwarz Function
- CHAPTER 11 Derivatives and Integrals
- CHAPTER 12 Application to Elementary Fluid Mechanics
- CHAPTER 13 The Schwarz Function and the Dirichlet Problem
- CHAPTER 14 Schwarz Functions of Specified Type
- CHAPTER 15 Schwarz Functions and Iterations
- CHAPTER 16 Dictionary of Functional Relationships
- CHAPTER 17 Bibliographical and Supplementary Notes
- Bibliography
- INDEX
Summary
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- The Schwarz Function and its Applications , pp. 41 - 48Publisher: Mathematical Association of AmericaPrint publication year: 1974