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Title: Worlds Out of Nothing ([Ebook]) : A Course in the History of Geometry in the 19th Century/ by Jeremy Gray Dewey Class: 510.9 Author: Gray, Jeremy J., 1947- Publication: London : Springer-Verlag, 2007 Other name(s): SpringerLink (Online service) Physical Details: : v.: digital Series: Springer Undergraduate Mathematics Series1615-2085 ISBN: 9781846286339 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 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.: ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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