Miniquaternion Geometry. An introduction to the study of projective planes.

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

ISBN 10: 0521079268 / ISBN 13: 9780521079266

Verlag: Cambridge University Press, 1971

Beschreibung

Private Halbleinwand mit Rückenvergoldung; 8°; 176 Seiten (Blockbuch). Sehr gutes Exemplar. Sprache: Englisch 570 gr.

Bestandsnummer des Verkäufers 51381

Bibliografische Details

• Titel: Miniquaternion Geometry. An introduction to the study of projective planes.
• Verlag: Cambridge University Press
• Erscheinungsjahr: 1971
• ISBN-10: 0521079268
• ISBN-13: 9780521079266
• Gewicht: 570 Gramm
• Verkäuferkataloge:
  • Mathematik

Über diesen Titel

Inhaltsangabe

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

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.