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Turning Points in the History of Mathematics

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Cover of 'Turning Points in the History of Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Axiomatics—Euclid’s and Hilbert’s: From Material to Formal
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    Chapter 2 Solution by Radicals of the Cubic: From Equations to Groups and from Real to Complex Numbers
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    Chapter 3 Analytic Geometry: From the Marriage of Two Fields to the Birth of a Third
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    Chapter 4 Probability: From Games of Chance to an Abstract Theory
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    Chapter 5 Calculus: From Tangents and Areas to Derivatives and Integrals
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    Chapter 6 Gaussian Integers: From Arithmetic to Arithmetics
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    Chapter 7 Noneuclidean Geometry: From One Geometry to Many
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    Chapter 8 Hypercomplex Numbers: From Algebra to Algebras
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    Chapter 9 The Infinite: From Potential to Actual
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    Chapter 10 Philosophy of Mathematics: From Hilbert to Gödel
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    Chapter 11 Some Further Turning Points
Attention for Chapter 7: Noneuclidean Geometry: From One Geometry to Many
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Chapter title
Noneuclidean Geometry: From One Geometry to Many
Chapter number 7
Book title
Turning Points in the History of Mathematics
Published by
Birkhäuser, New York, NY, January 2015
DOI 10.1007/978-1-4939-3264-1_7
Book ISBNs
978-1-4939-3263-4, 978-1-4939-3264-1
Authors

Hardy Grant, Israel Kleiner

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