Groups: A Path to Geometry

R. P. Burn

ISBN 10: 0521347939 / ISBN 13: 9780521347938

Published by Cambridge University Press, 1987

About this Item

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Bibliographic Details

• Title: Groups: A Path to Geometry
• Publisher: Cambridge University Press
• Publication Date: 1987
• Language: English
• ISBN 10: 0521347939
• ISBN 13: 9780521347938
• Binding: Paperback / softback
• Condition: New
• Weight: 410 grams

About this title

Synopsis

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 Möbius 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.

From the Back Cover

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.