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Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry, 2nd Edition

By Michael Henle

Published by Pearson

Published Date: Jan 12, 2001

Table of Contents



Dependency Chart.


Introduction.

I. BACKGROUND.

 1. Some History.

 2. Complex Numbers.

 3. Geometric Transformations.

 4. The Erlanger Program.

II. PLANE GEOMETRY.

 5. Möbius Geometry.

 6. Steiner Circles.

 7. Hyperbolic Geometry.

 8. Cycles.

 9. Hyperbolic Length.

10. Area.

11. Elliptic Geometry.

12. Absolute Geometry.

III. PROJECTIVE GEOMETRY.

13. The Real Projective Plane.

14. Projective Transformations.

15. Multidimensional Projective Geometry.

16. Universal Projective Geometry.

IV. SOLID GEOMETRY.

17. Quaternions.

18. Euclidean and Pseudo-Euclidean Solid Geometry.

19. Hyperbolic and Elliptic Solid Geometry.

V. DISCRETE GEOMETRY.

20. Matroids.

21. Reflections.

22. Discrete Symmetry.

23. Non-Euclidean Symmetry.

VI. AXIOM SYSTEMS.

24. Hilbert's Axioms.

25. Bachmann's Axioms.

26. Metric Absolute Geometry.

VII. CONCLUSION.

27. The Cultural Impact of Non-Euclidean Geometry.

28. The Geometric Idea of Space.

Bibliography.

Index.

Print

Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry, 2nd Edition

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$119.99 $113.99 | ISBN-13: 978-0-13-032313-2

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