Linear Geometry (Dover Books on Mathematics)

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9780486466279: Linear Geometry (Dover Books on Mathematics)

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.

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Artzy, Rafael
ISBN 10: 0486466272 ISBN 13: 9780486466279
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Descripción 2008. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486466279

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Artzy, Rafael
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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486466272

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Descripción Dover Publications Inc., United States, 2008. Paperback. Estado de conservación: New. Dover.. Language: English . Brand New Book. 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 Poincare 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 andnon-Euclideanplanes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups. Nº de ref. de la librería AAC9780486466279

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Descripción 2008. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486466279

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Descripción Dover Publications Inc., United States, 2008. Paperback. Estado de conservación: New. Dover.. Language: English . Brand New Book. 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 Poincare 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 andnon-Euclideanplanes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups. Nº de ref. de la librería AAC9780486466279

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ISBN 10: 0486466272 ISBN 13: 9780486466279
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Descripción Dover Publications Inc., United States, 2008. Paperback. Estado de conservación: New. Dover.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 Poincare 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 andnon-Euclideanplanes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups. Nº de ref. de la librería BTE9780486466279

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Artzy, Rafael
Editorial: Dover Pubns, Mineola, New York, U.S.A. (2008)
ISBN 10: 0486466272 ISBN 13: 9780486466279
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Descripción Dover Pubns, Mineola, New York, U.S.A., 2008. Soft cover. Estado de conservación: New. "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 More.Euclidean geometry, projective geometry and non-Euclidean geometries, and axiomatic plane geometry.". Nº de ref. de la librería 004689

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Artzy, Rafael
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Descripción Dover Publications, 2008. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486466272

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Artzy, Rafael; Mathematics
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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486466272 Brand New Book in Perfect Condition.Fast Shipping with tracking number. Nº de ref. de la librería KADA-DBSPD-0542

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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486466272 New. Retail 16.95. Nº de ref. de la librería 0486466272NE

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