Worlds Out of Nothing : A Course in the History of Geometry in the 19th Century
Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the his...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2007. |
| Series: | Springer Undergraduate Mathematics Series
|
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 381 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Worlds out of nothing, a course in the history of geometry in the 19th century, Jeremy Gray, 2007, London, Springer, 1 vol. (xix-376 p.), Springer undergraduate mathematics series, 978-1-84628-632-2 • Worlds Out of Nothing, Texte imprimé, 9781848005815 • Worlds out of nothing, a course in the history of geometry in the 19th century, Jeremy Gray, 2007, London, Springer, 1 vol. (xix-376 p.), Springer undergraduate mathematics series, 978-1-84628-632-2 • Worlds Out of Nothing, Texte imprimé, 9781848005815 • Worlds out of nothing, a course in the history of geometry in the 19th century, Jeremy Gray, 2007, London, Springer, 1 vol. (xix-376 p.), Springer undergraduate mathematics series, 978-1-84628-632-2 |
Table des matières:
- Mathematics in the French Revolution Poncelet (and Pole and Polar) Theorems in Projective Geometry Poncelet s Traité Duality and the Duality Controversy Poncelet, Chasles, and the Early Years of Projective Geometry Euclidean Geometry, the Parallel Postulate, and the Work of Lambert and Legendre Gauss (Schweikart and Taurinus) and Gauss s Differential Geometry János Bolyai Lobachevskii Publication and Non-Reception up to 1855 On Writing the History of Geometry 1 Across the Rhine Möbius s Algebraic Version of Projective Geometry Plücker, Hesse, Higher Plane Curves, and the Resolution of the Duality Paradox The Plücker Formulae The Mathematical Theory of Plane Curves Complex Curves Riemann: Geometry and Physics Differential Geometry of Surfaces Beltrami, Klein, and the Acceptance of Non-Euclidean Geometry On Writing the History of Geometry 2 Projective Geometry as the Fundamental Geometry Hilbert and his Grundlagen der Geometrie The Foundations of Projective Geometry in Italy Henri Poincaré and the Disc Model of non-Euclidean Geometry Is the Geometry of Space Euclidean or Non-Euclidean? Summary: Geometry to 1900 What is Geometry? The Formal Side What is Geometry? The Physical Side What is Geometry? Is it True? Why is it Important? On Writing the History of Geometry 3