Introduction to Hyperbolic Geometry

Name: Introduction to Hyperbolic Geometry
SKU: 5805915
Price: 249.00 NZD
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Paperback / softback

Series:

Universitext

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Description

This text for advanced undergraduates emphasizes the logical connections of the subject. The derivations of formulas from the axioms do not make use of models of the hyperbolic plane until the axioms are shown to be categorical; the differential geometry of surfaces is developed far enough to establish its connections to the hyperbolic plane; and the axioms and proofs use the properties of the real number system to avoid the tedium of a completely synthetic approach. The development includes properties of the isometry group of the hyperbolic plane, tilings, and applications to special relativity. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite.

Release date NZ

December 16th, 1995

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

6 Illustrations, black and white; XII, 289 p. 6 illus.

Pages

289

Series

Universitext

Dimensions

210x279x19

ISBN-13

9780387943398

Product ID

5805915

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