Articoli correlati a Linear Geometry
Sinossi
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.
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.
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Product Description
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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Linear Geometry
Editore:
Dover Publications, 2008
ISBN 10: 0486466272
ISBN 13: 9780486466279
Antico o usato
Paperback
Da: ThriftBooks-Dallas, Dallas, TX, U.S.A.
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Paperback. Condizione: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less 0.94. Codice articolo G0486466272I5N00
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Foto dell'editore
Linear Geometry (Dover Books on Mathematics)
Da: GoldBooks, Denver, CO, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: new. Codice articolo 56L51_22_0486466272
Quantità: 1 disponibili