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Linear Geometry

Artzy, Rafael

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ISBN 10: 0201003627 / ISBN 13: 9780201003628
Edité par Addison-Wesley, 1974
Ancien(s) ou d'occasion Etat : UsedGood Hardcover
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Hardcover; surplus library copy with the usual stampings; reference number taped to spine; bar code on back cover; fading and shelf wear to exterior; otherwise in good condition with clean text, firm binding. N° de réf. du libraire 51143

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Détails bibliographiques

Titre : Linear Geometry

Éditeur : Addison-Wesley

Date d'édition : 1974

Reliure : Hardcover

Etat du livre :UsedGood

A propos de ce titre

Synopsis :

Most linear algebra texts neglect geometry in general and linear geometry in particular. This text for advanced undergraduates and graduate students stresses the relationship between algebra and linear geometry. It begins by using the complex number plane as an introduction to a variety of transformations and their groups in the Euclidean plane, explaining algebraic concepts as they arise. A brief account of Poincaré's model of the hyperbolic plane and its transformation group follow.
Succeeding chapters contain a systematic treatment of affine, Euclidean, and projective spaces over fields that emphasizes transformations and their groups, along with an outline of results involving other geometries. An examination of the foundations of geometry starts from rudimentary projective incidence planes, then gradually adjoins axioms and develops various non-Desarguesian, Desarguesian, and Pappian planes, their corresponding algebraic structures, and their collineation groups. The axioms of order, continuity, and congruence make their appearance and lead to Euclidean and non-Euclidean planes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups.

Synopsis:

Most linear algebra texts neglect geometry in general and linear geometry in particular. This text for advanced undergraduates and graduate students stresses the relationship between algebra and linear geometry. Topics include transformations in the Euclidean plane, affine and Euclidean geometry, projective geometry and non-Euclidean geometries, and axiomatic plane geometry. 1965 edition.

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