Copies of the class notes are on the internet in PDF format as given below. The notes are based on a mixture of sources, but mostly rely on Hitchman's Chapters 3, 4, and 5. A new (2018) edition of this book is out be CreateSpace Independent Publishing Platform.
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Analytic Functions as Mappings: Mobius Transformations. Analytic Functions as Mappings notes (This is based largely on section III.3 of Conway's Functions of One Complex Variable, but includes material from Chapters 3 and 4 of Hitchman.)
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Transformations of ℂ and ℂ∞ - An Approach to Geometry. Transformations notes (This is based largely on Sections 3.1, 3.2, and 4.1 of Hitchman.)
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Hyperbolic Geometry and the Poincare Disk. Hyperbolic Geometry notes (This is based largely on Chapter 5 of Hitchman.)
The chapters are:
- Chapter 1. An Invitation to Geometry.
- Chapter 2. The Complex Plane.
- Chapter 3. Transformations.
- Chapter 4. Geometry.
- Chapter 5. Hyperbolic Geometry.
- Chapter 6. Elliptic Geometry.
- Chapter 7. Geometry on Surfaces.
- Chapter 8. Cosmic Topology.
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