| 000 | 00396nam a2200145Ia 4500 | ||
|---|---|---|---|
| 999 |
_c170322 _d170322 |
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| 020 | _a9780387906942 | ||
| 040 | _cCUS | ||
| 082 |
_a516.1 _bMAR/F |
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| 100 | _aMartin, George E. | ||
| 245 | 4 |
_aThe foundations of geometry and the non-Euclidean plane/ _cGeorge E. Martin |
|
| 260 |
_aNew York: _bSpringer, _c1975. |
||
| 300 |
_axvi, 509 p. : _bill. ; _c25 cm. |
||
| 440 | _a(Undergraduate texts in mathematics) | ||
| 505 | _a1. 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. | ||
| 650 | _aGeometry--Foundations | ||
| 650 | _aGeometry | ||
| 650 | _aMathematics | ||
| 942 | _cWB16 | ||