{"product_id":"miniquaternion-geometry-t-g-room-9780521090643","title":"Miniquaternion Geometry: An Introduction to the Study of Projective Planes","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e T. G. Room, P. B. Kirkpatrick\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521090644\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521090643\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/27\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 188\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.54lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.50h x 5.50w x 0.43d","brand":"T. G. Room","offers":[{"title":"Paperback","offer_id":44056245403903,"sku":"9780521090643","price":46.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_84b9d98c-9c5b-414d-b02d-52bf54d7ff67.jpg?v=1685040298","url":"https:\/\/www.whiterainbookhouse.com\/products\/miniquaternion-geometry-t-g-room-9780521090643","provider":"WR Book House","version":"1.0","type":"link"}