|
" A gateway to modern geometry : "
Saul Stahl.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
881008
|
| Main Entry
|
:
|
Stahl, Saul.
|
| Title & Author
|
:
|
A gateway to modern geometry : : the Poincaré half-plane /\ Saul Stahl.
|
| Edition Statement
|
:
|
2nd ed.
|
| Publication Statement
|
:
|
Sudbury, Mass. :: Jones and Bartlett Publishers,, ©2008.
|
| Page. NO
|
:
|
viii, 255 pages :: illustrations ;; 24 cm
|
| ISBN
|
:
|
0763753815
|
|
|
:
|
: 9780763753818
|
| Notes
|
:
|
Revised edition of: Poincaré́́ half-plane. Boston : Jones and Bartlett Publishers, c1993.
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (pages 251-252) and index.
|
| Contents
|
:
|
Euclidean geometry -- Euclidean rigid motions -- Inversions -- Hyperbolic plane -- Euclidean versus hyperbolic geometry -- Angles of the hyperbolic triangle -- Hyperbolic area -- Trigonometry of the hyperbolic triangle -- Complex numbers and rigid motions -- Absolute geometry and the angles of the triangle -- Spherical trigonometry and elliptic geometry -- Differential geometry and gaussian curvature -- Cross-ratio and the unit disk model -- Beltrami-Klein model -- Brief history of non-Euclidean geometry -- Spheres and horospheres -- Appendix A : Proofs of some of Euclid's propositions -- Appendix B : Formulas for hyperbolic trigonometric functions.
|
| Subject
|
:
|
Geometry, Non-Euclidean.
|
| Subject
|
:
|
Geometry, Non-Euclidean.
|
| Subject
|
:
|
Hyperbolische Geometrie.
|
| Dewey Classification
|
:
|
516.9
|
| LC Classification
|
:
|
QA685.S79 2008
|
| Added Entry
|
:
|
Stahl, Saul.
|
| |