Groups: A Path to Geometry

By R P Burn

Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study 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 relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.

• Format: Electronics
• Language: English
• ISBN: 1139163590
• ISBN13: 9781139163590
• Release Date: January 1
• Publisher: Cambridge University Press