Groups: A Path to Geometry - Hardcover

Burn, R. P.

Hardcover

ISBN 10: 0521300371 ISBN 13: 9780521300377

Publisher: Cambridge University Press, 1985

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.

About this title

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.

Review

"What distinguishes this book from all others? Simply, it is not a textbook in the normal sense. The approach of the book is one of development by discovery. There is almost no text as such-the reader being invited to learn about the groups through a sequence of over 800 problems." Times Higher Education Supplement

Edition details

• Publisher: Cambridge University Press
• Publication date: 1985
• Language: English
• ISBN 10: 0521300371
• ISBN 13: 9780521300377
• Binding: Hardcover
• Number of pages: 254