This tract provides an introduction to four finite geometrical systems and to the theory of projective planes.
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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.
Bela Bollobas has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollobas has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 51 ROO 9780521079266 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2507809
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Librería: Antiquariat Bookfarm, Löbnitz, Alemania
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 51 ROO 9780521079266 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2504478
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Librería: Anybook.com, Lincoln, Reino Unido
Condición: Good. 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. Nº de ref. del artículo: 5849097
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Librería: Antiquariat Fluck, Berlin, Alemania
Private Halbleinwand mit Rückenvergoldung; 8°; 176 Seiten (Blockbuch). Sehr gutes Exemplar. Sprache: Englisch 570 gr. Nº de ref. del artículo: 51381
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Librería: Phatpocket Limited, Waltham Abbey, HERTS, Reino Unido
Condición: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Nº de ref. del artículo: Z1-E-030-02516
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Librería: Goulds Book Arcade, Sydney, Newtown, Sydney, NSW, Australia
Hardcover. Condición: Good. Estado de la sobrecubierta: Fair. The dust jacket is a bit worn, torn and chipped, with some insect damage. The page edges are lightly tanned. 176 pages. Books listed here are not stored at the shop. Please contact us if you want to pick up a book from Newtown. Size: Size E: 8"-9" Tall (203-228mm). Nº de ref. del artículo: 64941
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