Groups : A Path to Geometry pdf

Groups : A Path to Geometry pdf

Groups : A Path to Geometry.cR. P. Burn

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Author: R. P. Burn
Number of Pages: 256 pages
Published Date: 01 Oct 1987
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9780521347938
File size: 38 Mb
Download Link: Groups A Path to Geometry
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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 Mobius 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.

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