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Euclidean and non-Euclidean geometries : development and history / Marvin Jay Greenberg.

Math/Physics/Astronomy Library QA445 .G84 1993
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Format:
Book
Author/Creator:
Greenberg, Marvin J.
Language:
English
Subjects (All):
Geometry.
Geometry, Non-Euclidean.
Geometry--History.
History.
Geometry, Non-Euclidean--History.
Physical Description:
xvi, 483 pages : illustrations ; 25 cm
Edition:
Third edition.
Place of Publication:
New York : W.H. Freeman, [1993]
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.
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.
Notes:
Includes bibliographical references (pages [463]-468) and index.
ISBN:
0716724464
OCLC:
27727445

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