Name: Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics) (en Inglés)
Price: 73530.00 CLP
Availability: InStock
Author: Room, T. G. ; Kirkpatrick, P. B.
ISBN: 9780521090643

portada Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Autor

T. G. Room

P. B. Kirkpatrick

Editorial

Cambridge University Press

Año

2008

Idioma

Inglés

N° páginas

188

Encuadernación

Tapa Blanda

Dimensiones

21.6 x 14.0 x 1.1 cm

Peso

0.24 kg.

ISBN

0521090644

ISBN13

9780521090643

N° edición

Categorías

Geometría
Topología
Matemáticas aplicadas

Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics) (en Inglés)

T. G. Room (Autor) · P. B. Kirkpatrick (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics) (en Inglés)"

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.