Miniquaternion Geometry by T.G. Room
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Miniquaternion Geometry
By T.G. Room

Miniquaternion Geometry

An Introduction to the Study of Projective Planes

By (author) See other recent books by T.G. Room See other recent books by P.B. Kirkpatrick
Format: Paperback

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Miniquaternion Geometry by T.G. Room

Book Description

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.

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Book Details

ISBN: 9780521090643
ISBN-10: 0521090644
Format: Paperback
(216mm x 140mm x 11mm)
Pages: 188
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Nov-2008
Country of Publication: United Kingdom

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Books By Author T.G. Room

Background to Geometry by T.G. Room Background to Geometry, Paperback (November 2008)

The central theme of the book is the development of the idea of congruence, that relation between geometric figures which is basic to ordinary Euclidean geometry.

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