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The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics) - Hardcover
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Book by Martin GE
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Reseña del editor
This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
Reseña del editor
The Foundations of Geometry and the Non-Euclidean Plane is a self-contained text for junior, senior, and first-year graduate courses. Historical material is interwoven with a rigorous ruler- and protractor axiomatic development of the Euclidean and hyperbolic planes. Additional topics include the classical axiomatic systems of Euclid and Hilbert, axiom systems for three and four dimensional absolute geometry, and Pieri's system based on rigid motions. Models, such as Taxicab Geometry, are used extensively to illustrate theory.
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- VerlagSpringer
- Erscheinungsdatum1997
- ISBN 10 0387906940
- ISBN 13 9780387906942
- EinbandTapa dura
- SpracheEnglisch
- Auflage3
- Anzahl der Seiten532
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Foundations of Geometry and the Non-Euclidean Plane
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The Foundations of Geometry and the Non-Euclidean Plane.
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Zustand: Gut. Formateinband: illustrierter Pappband / gebundene Ausgabe XVI, 509 S. (24 cm) Corrected fourth printing; Guter und sauberer Zustand. Sprache: Englisch Gewicht in Gramm: 1200 [Stichwörter: Die Grundlagen der Geometrie und der nichteuklidischen Ebene, nichteuklidische Ebene]. Artikel-Nr. 77358
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The Foundations of Geometry and the Non-Euclidean Plane.
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Springer Verlag., New York, Heidelberg, Berlin., 1982
ISBN 10: 0387906940
ISBN 13: 9780387906942
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OPappband. XVI, 509 Seiten. Reihe / serie: Undergraduate Texts in Mathematics. Guter Zustand. Size: Gr.-8°. Artikel-Nr. 045189
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THE FOUNDATIONS OF GEOMETRY AND THE NON-EUCLIDEAN PLANE.
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Springer Verlag, New York, 1998
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8vo. pp xvi, 509. Original publisher's yellow laminated boards. Issued without dust jacket. ISBN: 0387906940 Fine. Artikel-Nr. C42995
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The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics) Martin, G.E.
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The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)
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The Foundations of Geometry and the Non-Euclidean Plane
Verlag:
Springer New York, Springer US, 1982
ISBN 10: 0387906940
ISBN 13: 9780387906942
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary. Artikel-Nr. 9780387906942
Anzahl: 1 verfügbar
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The Foundations of Geometry and the Non-Euclidean Plane
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