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Euclidean and Non-Euclidean Geometries : Development and History

Euclidean and Non-Euclidean Geometries : Development and History - 3rd edition

ISBN13: 978-0716724469

Cover of Euclidean and Non-Euclidean Geometries : Development and History 3RD 93 (ISBN 978-0716724469)
ISBN13: 978-0716724469
ISBN10: 0716724464
Cover type:
Edition: 3RD 93
Copyright: 1993
Publisher: W.H. Freeman
Published: 1993
International: No

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Euclidean and Non-Euclidean Geometries : Development and History - 3RD 93 edition

ISBN13: 978-0716724469

Marvin J. Greenberg

ISBN13: 978-0716724469
ISBN10: 0716724464
Cover type:
Edition: 3RD 93
Copyright: 1993
Publisher: W.H. Freeman
Published: 1993
International: No
Summary

This classic text provides overview of both classic and hyperbolic geometries, placing the work of key mathematicians/ philosophers in historical context. Coverage includes geometric transformations, models of the hyperbolic planes, and pseudospheres.

Table of Contents

1. Euclid's Geometry

2. Logic and Incidence Geometry

3. Hilbert's Axioms

4. Neutral Geometries

5. History of the Parallel Postulate

6. The Discovery of Non-Euclidean Geometry

7. Independence of the Parallel Postulate

8. Philosophical Implications

Review Exercises
Some Topics for Essays
Index

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