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Introduction to Hyperbolic Geometry by Arlan Ramsay at Abbey's Bookshop,
Introduction to Hyperbolic Geometry
— —
Arlan Ramsay Robert D. Richtmyer

Introduction to Hyperbolic Geometry

Arlan Ramsay,  Robert D. Richtmyer

$214.95   $171.85

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English
Springer-Verlag New York Inc.
16 December 1995
Non-Euclidean geometry
Series: Universitext
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.
By:   ,
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States
Edition:   1995 ed.
Dimensions:   Height: 279mm,  Width: 210mm,  Spine: 19mm
Weight:   753g
ISBN:   9780387943398
ISBN 10:   0387943390
Series:   Universitext
Pages:   289
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Professional & Vocational ,  A / AS level ,  Further / Higher Education
Replaced By:   9780387745329
Format:   Paperback
Publisher's Status:   Active
1 Axioms for Plane Geometry.- 2 Some Neutral Theorems of Plane Geometry.- 3 Qualitative Description of the Hyperbolic Plane.- 4 ?3 and Euclidean Approximations in ?2.- 5 Differential Geometry of Surfaces.- 6 Quantitative Considerations.- 7 Consistency and Categoricalness of the Hyperbolic Axioms; The Classical Models.- 8 Matrix Representation of the Isometry Group.- 9 Differential and Hyperbolic Geometry in More Dimensions.- 10 Connections with the Lorentz Group of Special Relativity.- 11 Constructions by Straightedge and Compass in the Hyperbolic Plane.

Reviews for Introduction to Hyperbolic Geometry

The book is well laid out with no shortage of diagrams and with each chapter prefaced with its own useful introduction...Also well written, it makes pleasurable reading. Proceedings of the Edinburgh Mathematical Society


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