A Course in Modern Geometries [electronic resource] / by Judith N. Cederberg.
A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euc...
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Format: | Electronic eBook |
Language: | English |
Published: |
New York, NY :
Springer New York,
1989.
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Series: | Undergraduate texts in mathematics.
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Table of Contents:
- 1 Axiomatic Systems and Finite Geometries
- 2 Non-Euclidean Geometry
- 3 Geometric Transformations of the Euclidean Plane
- 4 Projective Geometry
- Appendixes
- A. Euclid's Definitions, Postulates, and the First 30 Propositions of Book I
- B. Hilbert's Axioms for Plane Geometry
- C. Birkhoff's Postulates for Euclidean Plane Geometry
- D. The S.M.S.G. Postulates for Euclidean Geometry
- E. Some S.M.S.G. Definitions for Euclidean Geometry
- F. The A.S.A. Theorem
- G. References.