Détails bibliographiques
| Auteur principal : |
Braver Seth
(Auteur) |
| Format : |
Livre |
| Langue : |
anglais |
| Titre complet : |
Lobachevski illuminated / by Seth Braver |
| Publié : |
[Washington, DC] :
Mathematical Association of America
, cop.2011
|
| Description matérielle : |
1 vol. (XX - 227 p.) |
| Collection : |
Spectrum series
|
| Contenu : |
Lobachevski's introduction. Preliminary Theorems (1-15). Theory of Parallels 16: The definition of parallelism. Theory of Parallels 17: Parallelism is well-defined. Theory of Parallels 18: Parallelism is symmetric. Theory of Parallels 19: The Saccheri-Legendre Theorem. Theory of Parallels 20: The Three Musketeers Theorem. Theory of Parallels 21: A little Lemma. Theory of Parallels 22: Common perpendiculars. Theory of Parallels 23: The [pi]-function. Theory of Parallels 24: Convergence of parallels. Theory of Parallels 25: Parallelism is transitive. Theory of Parallels 26: Spherical triangles. Theory of Parallels 27: Solid angles. Theory of Parallels 28: The prism theorem. Theory of Parallels 29: Circumcircles or lack thereof (Part I). Theory of Parallels 30: Circumcircles or lack thereof (Part II). Theory of Parallels 31: The horocycle defined. Theory of Parallels 32: The horocycle as a limit-circle. Theory of Parallels 33: Concentric horocycles. Theory of Parallels 34: The horosphere. Theory of Parallels 35: Spherical trigonometry. Theory of Parallels 36: The fundamental formula. Theory of Parallels 37: Plane trigonometry. Appendix: Nicolai Ivanovich Lobachevski's "Theory of Parallels |
| Sujets : |
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Nantilus
