Conformal representation
著者
書誌事項
Conformal representation
(Cambridge tracts in mathematics and mathematical physics, no. 28)
Cambridge University Press, 2008, c1932
2nd ed
- : pbk
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注記
This ed. originally published: 1952
"Digitally printed version"--T.p. verso
Includes bibliographical references (p. [113])
内容説明・目次
内容説明
Professor Caratheodory 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.
目次
- 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.
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