Two-dimensional geometries : a problem-solving approach /
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Providence :
American Mathematical Society,
2019.
|
| Σειρά: | Pure and applied undergraduate texts (American Mathematical Society)
34. |
| Θέματα: |
Πίνακας περιεχομένων:
- Introduction
- Neutral geometry. Euclid's postulates for plane geometry
- Euclidean (plane) geometry. Rectangles and cartesian coordinates
- Concurrence and circles in euclidean geometry
- Spherical geometry. Surface area and volume of the R-sphere in euclidean 3-space
- Usual dot product for three-dimensional Euclidean space. Euclidean three-space as a metric space
- Transformations
- K-geometry. Changing coordinates
- Uniform coordinates for the two-dimensional geometries
- Return to spherical geometry. Spherical geometry from an advanced viewpoint
- Hyperbolic geometry. The curvature K becomes negative.
