Conformal Representation
Professor Carathéodory sets out the basic theory of conformal representations as simply as possible. In the early chapters on Mobius' and other elementary transformations and on non-Euclidean geometry, he deals with those elementary subjects that are necessary for an understanding of the general theory discussed in the remaining chapters.
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No date availableHardback
9780521076289
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Table of Contents
- 1. Mobius Transformation
- 2. Non-Euclidean Geometry
- 3. Elementary Transformations
- 4. Schwarz's Lemma
- 5. The Fundamental Theorems of Conformal Representation
- 6. Transformation of the Frontier
- 7. Transformation of Closed Surfaces
- 8. The General Theorem of Uniformisation.