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 ...
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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.
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Add this copy of Miniquaternion Geometry: an Introduction to the Study to cart. $33.10, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1971 by Cambridge University Press.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 400grams, ISBN: 0521079268.
Add this copy of Miniquaternion Geometry: an Introduction to the Study to cart. $43.10, good condition, Sold by BARNABY rated 1.0 out of 5 stars, ships from Oxford, OXFORDSHIRE, UNITED KINGDOM, published 1971 by Cambridge University Press.
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Good Condition. Inside front flap is price clipped, otherwise dust jacket is complete, but shows signs of wear, with rubbing, creasing and a few closed tears at edges. Ownership inscription on first inside page. Contents mostly clean and unmarked, with uncreased pages. Sound and serviceable overall. Publisher's note: 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. viii, 176 pp. Shipped Weight: Under 500 grams. Category: Mathematics; Geometry, Projective; ISBN: 0521079268. ISBN/EAN: 9780521079266. Add. Inventory No: 250322CTY0714813.
Add this copy of Miniquaternion Geometry: An Introduction to the Study to cart. $45.63, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2008 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Unspecified. Cambridge Tracts in Mathematics . Includes unspecified. Intended for professional and scholarly audience.
Add this copy of Miniquaternion Geometry: an Introduction to the Study to cart. $48.97, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2008 by Cambridge University Press.
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Add this copy of Miniquaternion Geometry: An Introduction to the Study to cart. $60.92, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2008 by Cambridge University Press.
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