Miniquaternion Geometry: An Introduction to the Study of Projective Planes - Couverture rigide

Room, T. G.; Kirkpatrick, P. B.

Couverture rigide

ISBN 10 : 0521079268 ISBN 13 : 9780521079266

Editeur : Cambridge University Press, 1971

Synopsis

This tract provides an introduction to four finite geometrical systems and to the theory of projective planes.

A propos du livre

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1971
• Langue: anglais
• ISBN 10: 0521079268
• ISBN 13: 9780521079266
• Reliure: Relié
• Nombre de pages: 184
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France