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Groups : A Path to Geometry

Book Details

Format Paperback / Softback
ISBN-10 0521347939
ISBN-13 9780521347938
Publisher Cambridge University Press
Imprint Cambridge University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Sep 3rd, 1987
Print length 256 Pages
Weight 412 grams
Dimensions 22.90 x 15.10 x 1.60 cms
Ksh 8,800.00
Manufactured on Demand 0 in stock

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This work should enable the reader to generate all the group theory covered by a first university course. It includes an introduction to vector spaces, the study of linear groups, and an introduction to complex numbers, study of Mobius transformations and stereographic projection.
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.

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