Description

Book Synopsis
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.

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.

Conformal Representation

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A Paperback by C. Caratheodary

15 in stock


    View other formats and editions of Conformal Representation by C. Caratheodary

    Publisher: Cambridge University Press
    Publication Date: 12/4/2008 12:00:00 AM
    ISBN13: 9780521091794, 978-0521091794
    ISBN10: 0521091799
    Also in:
    Mathematics Complex analysis, complex variables

    Description

    Book Synopsis
    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.

    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.

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