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Euclidean and Non-Euclidean Geometries : ...

Euclidean and Non-Euclidean Geometries : ... - 4th edition

ISBN13: 978-0716799481

Cover of Euclidean and Non-Euclidean Geometries : ... 4TH 08 (ISBN 978-0716799481)
ISBN13: 978-0716799481
ISBN10: 0716799480 Edition: 4TH 08
Copyright: 2008
Publisher: W.H. Freeman
Published: 2008
International: No
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Euclidean and Non-Euclidean Geometries : ... - 4TH 08 edition

ISBN13: 978-0716799481

Marvin Jay Greenberg

ISBN13: 978-0716799481
ISBN10: 0716799480 Edition: 4TH 08
Copyright: 2008
Publisher: W.H. Freeman
Published: 2008
International: No
Summary

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic constructions, classification of Hilbert planes and an introduction to Riemannian geometry.

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