Roads to Geometry: Third EditionWaveland Press, 23 d’oct. 2015 - 510 pàgines Now available from Waveland Press, the Third Edition of Roads to Geometry is appropriate for several kinds of students. Pre-service teachers of geometry are provided with a thorough yet accessible treatment of plane geometry in a historical context. Mathematics majors will find its axiomatic development sufficiently rigorous to provide a foundation for further study in the areas of Euclidean and non-Euclidean geometry. By using the SMSG postulate set as a basis for the development of plane geometry, the authors avoid the pitfalls of many “foundations of geometry” texts that encumber the reader with such a detailed development of preliminary results that many other substantive and elegant results are inaccessible in a one-semester course. |
Continguts
1 | |
35 | |
Traveling Together Neutral Geometry | 82 |
One Way to Go Euclidean Geometry of the Plane | 124 |
Side Trips Analytical and Transformational Geometry | 241 |
Other Ways to Go NonEuclidean Geometries | 323 |
All Roads Lead to Projective Geometry | 432 |
Appendix A | 474 |
Appendix C | 481 |
Appendix D | 483 |
Appendix E | 486 |
495 | |
499 | |
Inside Back Cover | 512 |
Back Cover | 514 |
Appendix B | 478 |