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The Real and the Complex: A History of Analysis in the 19th Century

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Cover of 'The Real and the Complex: A History of Analysis in the 19th Century'

Table of Contents

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    Book Overview
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    Chapter 1 Lagrange and Foundations for the Calculus
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    Chapter 2 Joseph Fourier
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    Chapter 3 Legendre and Elliptic Integrals
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    Chapter 4 Cauchy and Continuity
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    Chapter 5 Cauchy: Differentiation and Integration
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    Chapter 6 Cauchy and Complex Functions to 1830
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    Chapter 7 Abel
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    Chapter 8 Jacobi
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    Chapter 9 Gauss
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    Chapter 10 Cauchy and Complex Function Theory, 1830–1857
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    Chapter 11 Complex Functions and Elliptic Integrals
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    Chapter 12 Revision
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    Chapter 13 Gauss, Green, and Potential Theory
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    Chapter 14 Dirichlet, Potential Theory, and Fourier Series
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    Chapter 15 Riemann
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    Chapter 16 Riemann and Complex Function Theory
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    Chapter 17 Riemann’s Later Complex Function Theory
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    Chapter 18 Responses to Riemann’s Work
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    Chapter 19 Weierstrass
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    Chapter 20 Weierstrass’s Foundational Results
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    Chapter 21 Revision—and Assessment
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    Chapter 22 Uniform Convergence
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    Chapter 23 Integration and Trigonometric Series
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    Chapter 24 The Fundamental Theorem of the Calculus
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    Chapter 25 The Construction of the Real Numbers
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    Chapter 26 Implicit Functions
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    Chapter 27 Towards Lebesgue’s Theory of Integration
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    Chapter 28 Cantor, Set Theory, and Foundations
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    Chapter 29 Topology
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    Chapter 30 Assessment
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1 X user
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3 Facebook pages
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11 Wikipedia pages
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2 Q&A threads

Citations

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22 Dimensions

Readers on

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Title
The Real and the Complex: A History of Analysis in the 19th Century
Published by
Springer, October 2015
DOI 10.1007/978-3-319-23715-2
ISBNs
978-3-31-923715-2, 978-3-31-923714-5
Authors

Gray, Jeremy

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X Demographics

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 12 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Canada 1 8%
Unknown 11 92%

Demographic breakdown

Readers by professional status Count As %
Professor 2 17%
Student > Bachelor 2 17%
Student > Master 2 17%
Researcher 2 17%
Student > Ph. D. Student 1 8%
Other 3 25%
Readers by discipline Count As %
Social Sciences 2 17%
Mathematics 2 17%
Computer Science 2 17%
Linguistics 1 8%
Unspecified 1 8%
Other 4 33%