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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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Cederberg, Judith N.
Format: Electronic eBook
Language:English
Published: New York, NY : Springer New York, 1989.
Series:Undergraduate texts in mathematics.
Subjects:
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.