{"product_id":"miniquaternion-geometry-an-introduction-to-the-study-of-projective-planes-cambridge-tracts-in-mathematics-series-number-60-0521090644","title":"Miniquaternion Geometry: An Introduction to the Study of Projective Planes (Cambridge Tracts in Mathematics, Series Number 60)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0521090644\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Room, T. G.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\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":"Mia Karts","offers":[{"title":"Default Title","offer_id":51941735727392,"sku":"NEW0521090644","price":60.0,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/miniquaternion-geometry-an-introduction-to-the-study-of-projective-planes-cambridge-tracts-in-mathematics-series-number-60-0521090644","provider":"Miakarts Books","version":"1.0","type":"link"}