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Euclidean and Non-Euclidean Geometries: Development and History

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

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

ISBN13: 9780716724469

ISBN10: 0716724464

Euclidean and Non-Euclidean Geometries: Development and History by Marvin J. Greenberg - ISBN 9780716724469
Edition: 3RD 93
Copyright: 1993
Publisher: W.H. Freeman
Published:
International: No
Euclidean and Non-Euclidean Geometries: Development and History by Marvin J. Greenberg - ISBN 9780716724469

ISBN13: 9780716724469

ISBN10: 0716724464

Edition: 3RD 93

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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

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