James W. Anderson

Hyperbolic Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

This introductory text explores and develops the basic notions of geometry on the hyperbolic plane. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincar disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. Coverage provides readers with a firm grasp of the concepts and techniques of this beautiful area of mathematics.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 230
• Erscheinungstermin: 29. Juni 2013
• Englisch
• ISBN-13: 9781447139874
• Artikelnr.: 44175610