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Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century
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Catalogue Information
Field name
Details
Dewey Class
510.9
Title
Worlds Out of Nothing ([Ebook]) : A Course in the History of Geometry in the 19th Century / by Jeremy Gray
Author
Gray, Jeremy J. , 1947-
Other name(s)
SpringerLink (Online service)
Publication
London : Springer-Verlag , 2007
Physical Details
: v.: digital
Series
Springer undergraduate mathematics series
1615-2085
ISBN
9781846286339
Summary Note
List of figures -- 1. Mathematics in the French Revolution -- 2. Poncelet (and pole and polar) -- 3. Theorems in projective geometry -- 4. Poncelet's Traité -- 5. Duality and the duality controversy -- 6. Poncelet and Chasles -- 7. Lambert and Legendre -- 8. Gauss -- 9. János Bolyai -- 10. Lobachevskii -- 11. To 1855 -- 12. Writing -- 13. Möbius -- 14. The duality paradox -- 15. The Plücker formulae -- 16. Higher plane curves -- 17. Complex curves -- 18. Riemann -- 19. Differential geometry of surfaces -- 20. Non-euclidean geometry accepted -- 21. Writing -- 22. Fundamental geometry -- 23. Hilbert -- 24. Italian foundations -- 25. The disc model -- 26. The geometry of space -- 27. Summary : geometry to 1900 -- 28. The formal side -- 29. The physical side -- 30. Is geometry true? -- 31. Writing -- 32. Von Staudt and his influence -- Bibliography -- Some geometers -- Index.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-84628-633-9
Links to Related Works
Subject References:
Geometry
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Geometry — History — 19th century
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History of mathematics
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Mathematics
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Authors:
Gray, Jeremy J. 1947-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer undergraduate mathematics series
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Classification:
510.9
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510.9 (DDC 23)
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