Lectures on Geometry
This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics. In particular, several parts of the first ten chapters can be used in a course of linear algebra, affine and Euclidean geometry by...
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| Auteurs principaux: | , |
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| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Édition: | 1st ed. 2024. |
| Collection: | La Matematica per il 3+2,
158 |
| Sujets: | |
| Accès en ligne: | https://doi.org/10.1007/978-3-031-51414-2 |
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Table des matières:
- 1 Linear Algebra
- 2 Bilinear and quadratic forms
- 3 Affine Spaces
- 4 Euclidean Spaces
- 5 Affine hyperquadrics
- 6 Projective Spaces
- 7 Desargues' Axiom
- 8 General Linear Projective Automorphisms
- 9 Affine Geometry and Projective Geometry
- 10 Projective hyperquadrics
- 11 Bezout's Theorem for Curves of P^2(K)
- 12 Absolute plane geometry
- 13 Cayley-Klein Geometries.