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Two-dimensional geometries : a problem-solving approach / C. Herbert Clemens.
Τύπος υλικού:
ΚείμενοΣειρά: Pure and applied undergraduate texts (American Mathematical Society) ; 34.Λεπτομέρειες δημοσίευσης: Providence : American Mathematical Society, 2019.Περιγραφή: vii, 142 σ. : εικ. ; 25 εκISBN: - 9781470447601
- Two dimensional geometries
- 2 dimensional geometries
- 516.154 23
Περιεχόμενα:
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.
| Τύπος τεκμηρίου | Τρέχουσα βιβλιοθήκη | Ταξιθετικός αριθμός | Αριθμός αντιτύπου | Κατάσταση | Ημερομηνία λήξης | Ραβδοκώδικας |
|---|---|---|---|---|---|---|
![Book [21]](https://library.upatras.gr/nereus/nereus-book-yes.png "Book [21]")
Book [21]
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ΒΚΠ - Πατρα Βασική Συλλογή | 516.154 CLE (Περιήγηση στο ράφι(Άνοιγμα παρακάτω)) | 1 | Διαθέσιμο | 025000262838 |
Περιλαμβάνει βιβλιογραφικές παραπομπές και ευρετήριο.
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.
