Groups: A Path to Geometry
, by R. P. BurnNote: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780521347938 | 0521347939
- Cover: Paperback
- Copyright: 9/25/1987
This book follows the same successful approach as Dr Burn's previous book on number theory. It consists of a carefully constructed sequence of questions which will enable the reader, through his or her own participation, to generate all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of M_bius transformations and stereographic projection, are also included. Quaternions and their relationship to three-dimensional isometries are covered, and the climax of the book is a study of crystallographic groups, with a complete analysis of these groups in two dimensions.