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Worlds Out of Nothing

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Cover of 'Worlds Out of Nothing'

Table of Contents

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    Book Overview
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    Chapter 1 Mathematics in the French Revolution
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    Chapter 2 Poncelet (and Pole and Polar)
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    Chapter 3 Theorems in Projective Geometry
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    Chapter 4 Poncelet’s Traité
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    Chapter 5 Duality and the Duality Controversy
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    Chapter 6 Poncelet, Chasles, and the Early Years of Projective Geometry
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    Chapter 7 Euclidean Geometry, the Parallel Postulate, and the Work of Lambert and Legendre
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    Chapter 8 Gauss (Schweikart and Taurinus) and Gauss’s Differential Geometry
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    Chapter 9 János Bolyai
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    Chapter 10 Lobachevskii
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    Chapter 11 Publication and Non-Reception up to 1855
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    Chapter 12 On Writing the History of Geometry – 1
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    Chapter 13 Across the Rhine – Möbius’s Algebraic Version of Projective Geometry
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    Chapter 14 Plücker, Hesse, Higher Plane Curves, and the Resolution of the Duality Paradox
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    Chapter 15 The Plücker Formulae
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    Chapter 16 The Mathematical Theory of Plane Curves
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    Chapter 17 Complex Curves
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    Chapter 18 Riemann: Geometry and Physics
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    Chapter 19 Differential Geometry of Surfaces
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    Chapter 20 Beltrami, Klein, and the Acceptance of Non-Euclidean Geometry
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    Chapter 21 On Writing the History of Geometry – 2
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    Chapter 22 Projective Geometry as the Fundamental Geometry
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    Chapter 23 Hilbert and his Grundlagen der Geometrie
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    Chapter 24 The Foundations of Projective Geometry in Italy
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    Chapter 25 Henri Poincaré and the Disc Model of non-Euclidean Geometry
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    Chapter 26 Is the Geometry of Space Euclidean or Non-Euclidean?
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    Chapter 27 Summary: Geometry to 1900
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    Chapter 28 What is Geometry? The Formal Side
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    Chapter 29 What is Geometry? The Physical Side
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    Chapter 30 What is Geometry? Is it True? Why is it Important?
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    Chapter 31 On Writing the History of Geometry – 3
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Citations

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Title
Worlds Out of Nothing
Published by
Springer London, February 2011
DOI 10.1007/978-0-85729-060-1
ISBNs
978-0-85729-059-5, 978-0-85729-060-1
Authors

Gray, Jeremy

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X Demographics

The data shown below were collected from the profiles of 8 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 33%
Unknown 2 67%

Demographic breakdown

Readers by professional status Count As %
Professor 1 33%
Professor > Associate Professor 1 33%
Unknown 1 33%
Readers by discipline Count As %
Social Sciences 2 67%
Unknown 1 33%