Introduction to Hyperbolic Geometry
Springer (Publisher)
Published in January 1995
Book
Paperback/Softback
XII, 287 pages
978-3-540-94339-6 (ISBN)
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Product notice
Paperback (UK-trade)
Illustrations
59 figs.
Dimensions
Height: 216 mm
Width: 138 mm
Weight
415 gr
ISBN-13
978-3-540-94339-6 (9783540943396)
Schweitzer Classification