| Groups: A Path to Geometry Contributor(s): Burn, R. P. (Author) |
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ISBN: 1139163590 ISBN-13: 9781139163590 Publisher: Cambridge University Press OUR PRICE: $494.00 Product Type: Open Ebook - Other Formats Published: June 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Geometry - General - Mathematics | Topology - General |
| Dewey: 512.22 |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |