Miniquaternion Geometry - An Introduction to the Study of Projective Planes (Paperback)

This tract provides an introduction to four finite geometrical systems and to the theory of projective planes. Of the four geometries, one is based on a nine-element field and the other three can be constructed from the nine-element 'miniquaternion algebra', a simple system which has many though not all the properties of a field. The three systems based on the miniquaternion algebra have widely differing properties; none of them has the homogeneity of structure which characterizes geometry over a field. While these four geometries are the main subject of this book, many of the ideas developed are of much more general significance. The authors have assumed a knowledge of the simpler properties of groups, fields, matrices and transformations (mappings), such as is contained in a first course in abstract algebra. Development of the nine-element field and the miniquaternion system from a prescribed set of properties of the operations of addition and multiplication are covered in an introductory chapter. Exercises of varying difficulty are integrated with the text.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	November 2008
First published:	November 2008
Authors:	T.G. Room • P.B. Kirkpatrick
Dimensions:	216 x 140 x 11mm (L x W x T)
Format:	Paperback - Trade
Pages:	188
ISBN-13:	978-0-521-09064-3
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Promotions
LSN:	0-521-09064-4
Barcode:	9780521090643

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