Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics, Series Number 60) - Tapa dura

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

 
9780521079266: Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics, Series Number 60)
Tapa dura
ISBN 10: 0521079268 ISBN 13: 9780521079266
Editorial: Cambridge University Press, 1971

Sinopsis

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

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

Biografía del autor

Bela Bollobas has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollobas has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Cambridge University Press
Año de publicación
1971
Idioma
Inglés
ISBN 10 
0521079268
ISBN 13 
9780521079266
Encuadernación
Tapa dura
Número de páginas
184
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia

Otras ediciones populares con el mismo título

9780521090643: Miniquaternion Geometry: An Introduction to the Study of Projective Planes: 60 (Cambridge Tracts in Mathematics, Series Number 60)

Edición Destacada

ISBN 10:  0521090644 ISBN 13:  9780521090643
Editorial: Cambridge University Press, 2009
Tapa blanda