{"product_id":"miniquaternion-geometry-an-introduction-to-the-study-of-projective-planes-9780521090643","title":"Miniquaternion Geometry: An Introduction to the Study of Projective Planes","description":"\u003cp\u003e • Author(s): T. G. Room | P. B. Kirkpatrick\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Geometry - General\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":46884868325527,"sku":"9780521090643","price":5086.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521090643.webp?v=1770245102","url":"https:\/\/atlanticbooks.com\/products\/miniquaternion-geometry-an-introduction-to-the-study-of-projective-planes-9780521090643","provider":"Atlantic Books","version":"1.0","type":"link"}