Groups: A Path to Geometry

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ISBN10: 0521347939
ISBN13: 9780521347938
Publisher: Cambridge
Published: Sep 3 1987
Pages: 256
Weight: 0.68
Height: 0.65 Width: 5.93 Depth: 8.99
Language: English

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.

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