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From Riemann to Differential Geometry and Relativity

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Cover of 'From Riemann to Differential Geometry and Relativity'

Table of Contents

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    Book Overview
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    Chapter 1 Looking Backward: From Euler to Riemann
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    Chapter 2 Riemann on Geometry, Physics, and Philosophy—Some Remarks
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    Chapter 3 Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann
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    Chapter 4 Riemann’s Memoir Über das Verschwinden der $$\vartheta $$ -Functionen
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    Chapter 5 Riemann’s Work on Minimal Surfaces
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    Chapter 6 Physics in Riemann’s Mathematical Papers
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    Chapter 7 Cauchy and Puiseux: Two Precursors of Riemann
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    Chapter 8 Riemann Surfaces: Reception by the French School
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    Chapter 9 The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward
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    Chapter 10 Deleuze et la Géométrie Riemannienne: Une Topologie des Multiplicités
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    Chapter 11 Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts
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    Chapter 12 The Riemann Mapping Theorem and Its Discrete Counterparts
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    Chapter 13 The Riemann–Roch Theorem
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    Chapter 14 Metric Geometries in an Axiomatic Perspective
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    Chapter 15 Generalized Riemann Sums
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    Chapter 16 From Riemannian to Relativistic Diffusions
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    Chapter 17 On the Positive Mass Theorem for Closed Riemannian Manifolds
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    Chapter 18 On Local Characterization Results in Geometry and Gravitation
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    Chapter 19 The Conformal Approach to Asymptotic Analysis
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    Chapter 20 Bernhard Riemann and His Work
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From Riemann to Differential Geometry and Relativity
Published by
Springer, Cham, October 2017
DOI 10.1007/978-3-319-60039-0
978-3-31-960038-3, 978-3-31-960039-0

Lizhen Ji, Athanase Papadopoulos, Sumio Yamada

Twitter Demographics

The data shown below were collected from the profiles of 7 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 11 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 11 100%

Demographic breakdown

Readers by professional status Count As %
Student > Master 2 18%
Student > Bachelor 2 18%
Lecturer 1 9%
Other 1 9%
Student > Doctoral Student 1 9%
Other 3 27%
Unknown 1 9%
Readers by discipline Count As %
Engineering 3 27%
Mathematics 3 27%
Environmental Science 1 9%
Unspecified 1 9%
Computer Science 1 9%
Other 1 9%
Unknown 1 9%