Hyperbolic geometry / Birger Iversen.

Format:

Book

Author/Creator:

Iversen, Birger, author.

Series:

London Mathematical Society student texts ; 25.

London Mathematical Society student texts ; 25

Language:

English

Subjects (All):

Geometry, Hyperbolic.

Physical Description:

1 online resource (xiv, 298 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1992.

Language Note:

English

Summary:

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.

Contents:

Quadratic forms

Geometries

Hyperbolic plane

Fuchsian groups

Fundamental domains

Coverings

Poincaré's theorem

Hyperbolic 3-space

Appendix: Axioms for plane geometry.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 292-294) and index.

ISBN:

1-316-08708-5

0-511-56933-5

1-107-36188-5

1-107-36679-8

1-107-37146-5

1-107-36949-5

1-299-40453-7

1-107-36433-7

OCLC:

843203366