Euclidean and Non-Euclidean Geometry by Prof. Ian Biringer

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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