Groups, a path to geometry / R.P. Burn.

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 cou...

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Bibliographic Details
Main Author: Burn, R. P. (Author)
Language:English
Published: Cambridge : Cambridge University Press, 1985.
Subjects:
Online Access:
Physical Description:1 online resource (xii, 242 pages) : digital, PDF file(s).
Format: Electronic eBook

MARC

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520 |a 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. 
650 0 |a Group theory.  |0 http://id.loc.gov/authorities/subjects/sh85057512 
650 0 |a Transformation groups.  |0 http://id.loc.gov/authorities/subjects/sh85136917 
650 0 |a Geometry.  |0 http://id.loc.gov/authorities/subjects/sh85054133 
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