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The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae

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Cover of 'The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae'

Table of Contents

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    Book Overview
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    Chapter 1 A Book in Search of a Discipline (1801–1860)
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    Chapter 2 Several Disciplines and a Book (1860–1901)
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    Chapter 3 The Disquisitiones Arithmeticae and the Theory of Equations
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    Chapter 4 Composition of Binary Quadratic Forms and the Foundations of Mathematics
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    Chapter 5 Composition of Quadratic Forms: An Algebraic Perspective
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    Chapter 6 The Unpublished Section Eight: On the Way to Function Fields over a Finite Field
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    Chapter 7 A Network of Scientific Philanthropy: Humboldt’s Relations with Number Theorists
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    Chapter 8 ‘O Θɛòζ’ Aριθμηίíξɛι: The Rise of Pure Mathematics as Arithmetic with Gauss
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    Chapter 9 From Reciprocity Laws to Ideal Numbers: An (Un)Known Manuscript by E.E. Kummer
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    Chapter 10 Elliptic Functions and Arithmetic
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    Chapter 11 The Concept of Number from Gauss to Kronecker
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    Chapter 12 On Arithmetization
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    Chapter 13 The Hermitian Form of Reading the Disquisitiones
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    Chapter 14 Number Theory at the Association française pour l’avancement des sciences
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    Chapter 15 An Overview on Italian Arithmetic after the Disquisitiones Arithmeticae
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    Chapter 16 Zolotarev’s Theory of Algebraic Numbers
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    Chapter 17 Gauss Goes West: The Reception of the Disquisitiones Arithmeticae in the USA
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    Chapter 18 Reduction Theory of Quadratic Forms: Towards Räumliche Anschauung in Minkowski’s Early Work
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    Chapter 19 Gauss Sums
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    Chapter 20 The Development of the Principal Genus Theorem
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Title
The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae
Published by
Springer, Berlin, Heidelberg, February 2007
DOI 10.1007/978-3-540-34720-0
ISBNs
978-3-54-020441-1, 978-3-54-034720-0
Editors

Catherine Goldstein, Norbert Schappacher, Joachim Schwermer

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 9 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Denmark 1 11%
Germany 1 11%
Unknown 7 78%

Demographic breakdown

Readers by professional status Count As %
Student > Master 2 22%
Other 1 11%
Student > Bachelor 1 11%
Librarian 1 11%
Student > Ph. D. Student 1 11%
Other 3 33%
Readers by discipline Count As %
Mathematics 6 67%
Philosophy 1 11%
Arts and Humanities 1 11%
Computer Science 1 11%