| Foundations of Geometry Contributor(s): Venema, Gerard (Author) |
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ISBN: 0136020585 ISBN-13: 9780136020585 Publisher: Pearson OUR PRICE: $151.99 Product Type: Paperback - Other Formats Published: July 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General |
| Dewey: 516 |
| LCCN: 2011002700 |
| Physical Information: 0.6" H x 7.9" W x 9.9" (1.45 lbs) 416 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Normal 0 false false false Foundations of Geometry, Second Edition is written to help enrich the education of all mathematics majors and facilitate a smooth transition into more advanced mathematics courses. The text also implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers--and encourages students to make connections between their college courses and classes they will later teach. This text's coverage begins with Euclid's Elements, lays out a system of axioms for geometry, and then moves on to neutral geometry, Euclidian and hyperbolic geometries from an axiomatic point of view, and then non-Euclidean geometry. Good proof-writing skills are emphasized, along with a historical development of geometry. The Second Edition streamlines and reorganizes material in order to reach coverage of neutral geometry as early as possible, adds more exercises throughout, and facilitates use of the open-source software Geogebra. KEY TOPICS: Prologue: Euclid's Elements; Axiomatic Systems and Incidence Geometry; Axioms for Plane Geometry; Neutral Geometry; Euclidean Geometry; Hyperbolic Geometry; Area; Circles; Constructions; Transformations; Models; Polygonal Models and the Geometry of Space; Euclid's Book I; Systems of Axioms for Geometry; The Postulates Used in this Book; Set Notation and the Real Numbers; The van Hiele Model MARKET: For all readers interested in geometry. |