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Euclidean and Non-Euclidean Geometry by Prof. Ian Biringer


MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Euclidean and Non-Euclidean Geometries . We hope mathematician or person who’s interested in mathematics like these books.


Euclidean and Non-Euclidean Geometry written by Prof. Ian Biringer, Boston College This is an other great mathematics book cover the following topics.

  • 1. Introduction

  • 2. Distance in Rn

  • 3. Paths and lines

  • 4. Polygons, Triangulations and Tilings

  • 5. School districts and Convexity

  • 6. Path length

  • 7. The Chord Theorem

  • 8. Isometries, especially of R2

  • 9. Isometries of R3

  • 10. Tilings

  • 11. Area

  • 12. Volume and non-measurable sets

  • 13. Isoperimetric inequalities

  • 14. Tangrams and Scissors Congruence

  • 15. Polyhedra and the Dehn invariant

  • 16. Spherical Geometry

  • 17. Spherical isometries

  • 18. Spherical area and polygons

  • 19. Projections

  • 20. Area of spherical polygons and Euler characteristic

  • 21. Euclid’s axioms and Hyperbolic geometry

  • 22. Incidence geometry

  • 23. Lines, circles and inversions

  • 24. A alternative geometric approach to circle inversion

  • 25. The hyperbolic metric

  • 26. Hyperbolic trigonometric functions

  • 27. The pseudosphere and the tractrix

  • 28. Hyperbolic isometries

  • 29. The disc model

  • 30. Hyperbolic circles

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