The foundations of geometry and the non-Euclidean plane/ George E. Martin
Material type:
TextSeries: (Undergraduate texts in mathematics)Publication details: New York: Springer, 1975Description: xvi, 509 p. : ill. ; 25 cmISBN: 9780387906942Subject(s): Geometry--Foundations | Geometry | MathematicsDDC classification: 516.1 | Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
General Books
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Central Library, Sikkim University General Book Section | 516.1 MAR/F (Browse shelf(Opens below)) | Available | P25299 |
1. Equivalence relations --
2. Mappings --
3. The real numbers --
4. Axiom systems --
Part 1. Absolute geometry --
5. Models --
6. Incidence axiom and ruler postulate --
7. Betweenness --
8. Segments, rays, and convex sets --
9. Angles and triangles --
10. The golden age of Green mathematics --
11. Euclid's elements --
12. Pasch's postulate and plane separation postulate --
13. Crossbar and quadrilaterals --
14. Measuring angles and the protractor postulate --
15. Alternative axiom systems --
16. Mirrors --
17. Congruence and the penultimate postulate --
18. Perpendiculars and inequalities --
19. Reflections --
20. Circles --
21. Absolute geometry and Saccheri quadrilaterals --
22. Saccheri's three hypotheses --
23. Euclid's parallel postulate --
24. Biangles --
25. Excursions --
Part 2. Non-Euclidean geometry --
26. Parallels and the ultimate axiom --
27. Brushes and cycles --
28. Rotations, translations, and horolations --
29. The classification of isometries --
30. Symmetry --
31. Horocircles --
32. The fundamental formula --
33. Categoricalness and area --
34. Quadrature of the circle.
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