Experiencing Geometry: Euclidean and Non-Euclidean with History
Fourth edition.. - London: Pearson Prentice Hall, 2020
Online
Bibliografie, Monographie, Elektronische Ressource
- 1 online resource (392 pages)
Ermittle Ausleihstatus...
In 25 years since the first edition of Experiencing Geometry this book has influenced many people how they think about geometry and mathematics in general. The unique spirit of David Henderson's method of learning geometry is kept alive in this 4th edition of the book.
TABLE OF CONTENTS -- Front Pages -- Contents -- Preface -- Chapter 0. Historical Strands of Geometry -- Chapter 1. What is Straight? -- Chapter 2. Straightness on Sphere -- Chapter 3. What is an Angle? -- Chapter 4. Straightness on Cylinders and Cones -- Chapter 5. Straightness on Hyperbolic Planes -- Chapter 6. Triangles and Congruencies -- Chapter 7. Area and Holonomy -- Chapter 8. Parallel Transport -- Chapter 9. More Triangle Congruencies -- Chapter 10. Parallel Postulates -- Chapter 11. Isometries and Patterns -- Chapter 12. Dissection Theory -- Chapter 13. Square Roots, Pythagoras, and Similar Triangles -- Chapter 14. Projections of a Sphere onto a Plane -- Chapter 15. Circles -- Chapter 16. Inversions in Circles -- Chapter 17. Projections (Models) of Hyperbolic Planes -- Chapter 18. Geometric 2-Manifolds -- Chapter 19. Geometric Solutions of Quadratic and Cubic Equations -- Chapter 20. Trigonometry and Duality -- Chapter 21. Mechanisms -- Chapter 22. 3-Spheres and Hyperbolic 3-Spaces -- Chapter 23. Polyhedra -- Chapter 24. 3-Manifolds - The Shape of Space -- In Search of Meaning -- Appendix A. Making Models -- Appendix B. Ideas for More Geometric Explorations -- Bibliography.
Titel: |
Experiencing Geometry: Euclidean and Non-Euclidean with History
|
---|---|
Verantwortlichkeitsangabe: | David W. Henderson, Daina Taimiņa |
Autor/in / Beteiligte Person: | Henderson, David W. [author.] ; Taimina, Daina [author.] |
Lokaler Link: | |
Ausgabe: | Fourth edition. |
Veröffentlichung: | London: Pearson Prentice Hall, 2020 |
Medientyp: | Bibliografie, Monographie |
Datenträgertyp: | Elektronische Ressource |
Umfang: | 1 online resource (392 pages) |
Schlagwort: |
|
Sonstiges: |
|