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

Overview of attention for book
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    Chapter 6 The Unpublished Section Eight: On the Way to Function Fields over a Finite Field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
Attention for Chapter 6: The Unpublished Section Eight: On the Way to Function Fields over a Finite Field
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Chapter title
The Unpublished Section Eight: On the Way to Function Fields over a Finite Field
Chapter number 6
Book title
The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae
Published by
Springer, Berlin, Heidelberg, January 2007
DOI 10.1007/978-3-540-34720-0_6
Book ISBNs
978-3-54-020441-1, 978-3-54-034720-0
Authors

Günther Frei, Frei, Günther

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Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 50%
Researcher 1 50%
Readers by discipline Count As %
Mathematics 2 100%

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