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Record Nr. |
UNINA9910460754103321 |
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Autore |
Kay David C. |
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Titolo |
College geometry : a unified development / / by David C. Kay |
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Pubbl/distr/stampa |
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Boca Raton, FL : , : CRC Press, an imprint of Taylor and Francis, , 2011 |
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ISBN |
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0-429-10919-9 |
1-4398-9522-8 |
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Edizione |
[First edition.] |
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Descrizione fisica |
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1 online resource (641 p.) |
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Collana |
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Disciplina |
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Soggetti |
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Geometry |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Front Cover; Contents; Preface; Author; Chapter 1 - Lines, Distance, Segments, and Rays; Chapter 2 - Angles, Angle Measure, and Plane Separation; Chapter 3 - Unified Geometry: Triangles and Congruence; Chapter 4 - Quadrilaterals, Polygons, and Circles; Chapter 5 - Three Geometries; Chapter 6 - Inequalities for Quadrilaterals: Unified Trigonometry; Chapter 7 - Beyond Euclid: Modern Geometry; Chapter 8 - Transformations in Modern Geometry; Chapter 9 - Non-Euclidean Geometry: Analytical Approach; Appendix A: Sketchpad Experiments; Appendix B: Intuitive Spherical Geometry |
Appendix C: Proof in GeometryAppendix D: The Real Numbers and Least Upper Bound; Appendix E: Floating Triangles/Quadrilaterals; Appendix F: Axiom Systems for Geometry; Solutions to Selected Problems; Bibliography; Back Cover |
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Sommario/riassunto |
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Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. |
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