Physics in Riemann’s Mathematical Papers

DOI10.1007/978-3-319-60039-0_6zbMath1411.01021arXiv1711.01755OpenAlexW2757988256MaRDI QIDQ4607229

Athanase Papadopoulos

Publication date: 13 March 2018

Published in: From Riemann to Differential Geometry and Relativity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01755

zbMATH Keywords

Riemannian geometryRiemann surfacetrigonometric series interrelation between mathematics, physics and philosophy

Mathematics Subject Classification ID

History of differential geometry (53-03) History of mathematics in the 19th century (01A55) Physics (00A79)

Related Items

Looking Backward: From Euler to Riemann, Riemann Surfaces: Reception by the French School, Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts, Bernhard Riemann and His Work, A geometric relativistic dynamics under any conservative force, Topology and Biology: From Aristotle to Thom, Teichmüller's work on the type problem

Cites Work

• Pangeometry. Edited and translated by Athanase Papadopoulos
• Bernhard Riemann remarks on his life and work
• Some comments on Riemann's contributions to differential geometry
• Construction of instantons
• Über die Wechselwirkungen zwischen der franzoesischen Schule, Riemann und Weierstrass. Eine Übersicht mit zwei Quellenstudien
• Herbart's influence on Bernhard Riemann
• The concepts of space and time. Their structure and their development
• Euler's Letters to a Princess of Germany as an expression of his mature scientific outlook
• The missing link: Riemann's ``Commentatio, differential geometry and tensor analysis
• On the hypotheses which lie at the bases of geometry. Edited, historically and mathematically commented by Jürgen Jost
• Nicolas-Auguste Tissot: a link between cartography and quasiconformal theory
• Éléments d'analyse de Karl Weierstrass
• Moduli spaces and macromolecules
• From Graz to Göttingen: Neugebauer’s Early Intellectual Journey
• The classical theory of minimal surfaces
• Looking Backward: From Euler to Riemann
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• Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann
• Riemann’s Work on Minimal Surfaces
• Cauchy and Puiseux: Two Precursors of Riemann
• Riemann Surfaces: Reception by the French School
• The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward
• Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts
• The Riemann–Roch Theorem
• Quasiconformal mappings, from Ptolemy's geography to the work of Teichm\"uller
• On the Representation of the Spherical Surface on the Plane
• On the Geographical Projection of the Surface of the Sphere
• Pythagoras and the Early Pythagoreans
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