Conformal Representation

Professor Carathéodory sets out the basic theory of conformal representations as simply as possible.

C. Caratheodary (Author)

9780521091794, Cambridge University Press

Paperback / softback, published 4 December 2008

128 pages
21.6 x 14 x 0.8 cm, 0.17 kg

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.

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.

Subject Areas: Mathematics [PB]