Groups: A Path to Geometry.

Burn, R P:

ISBN 10: 0521300371 / ISBN 13: 9780521300377

Published by Cambridge University Press, 1985

About this Item

242p black hardback, laminated cover worn, part of spine chipped off, tape repaired, library stamps and shelf-marks, text is clean and unmarked pages, table of contents with a few ticks, binding good, overall good condition, hard to find title of worn appearance Language: English.

Seller Inventory # 138336

Bibliographic Details

• Title: Groups: A Path to Geometry.
• Publisher: Cambridge University Press
• Publication Date: 1985
• Language: English
• ISBN 10: 0521300371
• ISBN 13: 9780521300377
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Fair
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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 Möbius 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.

Review

'There is much here of value both for students and for those who are seeking a refresher course in modern group theory.' The Times Higher Education Supplement

'... the author is encouraging throughout and patiently leads his audience to an understanding of the interplay between group theory and the classical geometry of two and three dimensions ... the author is a knowledgeable and considerate guide.' Mathematical Gazette