From Riemann to Differential Geometry and Relativity
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From Riemann to Differential Geometry and Relativity
Yamada, Sumio; Papadopoulos, Athanase; Ji, Lizhen
Springer International Publishing AG
10/2017
647
Dura
Inglês
9783319600383
15 a 20 dias
1498
Descrição não disponível.
Preface.- Introduction.- 1.Athanase Papadopoulos: Looking backward: From Euler to Riemann .- 2.Jeremey Gray: Riemann on geometry, physics, and philosophy - some remarks.- 3.Hubert Goenner: Some remarks on a contribution to electrodynamics by Bernhard Riemann.- 4.Christian Houzel: Riemann's Memoir UEber das Verschwinden der Theta-Functionen.- 5.Sumio Yamada: Riemann's work on minimal surfaces.- 6. Athanase Papadopoulos: Physics in Riemann's mathematical papers.- 7.Athanase Papadopoulos: Cauchy and Puiseux: Two precursors of Riemann.- 8.Athanase Papadopoulos: Riemann surfaces: Reception by the French school.- 9.Ken'ichi Ohshika: The origin of the notion of manifold: from Riemann's Habilitationsvortrag onward.- 10.Franck Jedrzejewski: Deleuze et la geometrie riemannienne : une topologie des multiplicites.- 11.Arkady Plotnitsky: Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts.- 12.Feng Luo: The Riemann mapping theorem and its discrete counterparts.- 13.Norbert A'Campo, Vincent Alberge and Elena Frenkel: The Riemann-Roch theorem.- 14.Victor Pambuccian, Horst Struve and Rolf Struve: Metric geometries in an axiomatic perspective.- 15.Toshikazu Sunada: Generalized Riemann sums.- 16.Jacques Franchi: From Riemannian to Relativistic Diffusions.- 17.Andreas Hermann and Emmanuel Humbert: On the Positive Mass Theorem for closed Riemannian manifolds.- 18.Marc Mars: On local characterization results in geometry and gravitation.- 19.Jean-Philippe Nicolas: The conformal approach to asymptotic analysis.- 20.Lizhen Ji: Bernhard Riemann and his work.
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01-02, 01A55, 01A67, 26A42, 30-03, 33C05, 00A30;Riemann surfaces;differential geometry;relativity;foundations of mathematics;theta functions;abelian functions;history of geometry;history of topology
Preface.- Introduction.- 1.Athanase Papadopoulos: Looking backward: From Euler to Riemann .- 2.Jeremey Gray: Riemann on geometry, physics, and philosophy - some remarks.- 3.Hubert Goenner: Some remarks on a contribution to electrodynamics by Bernhard Riemann.- 4.Christian Houzel: Riemann's Memoir UEber das Verschwinden der Theta-Functionen.- 5.Sumio Yamada: Riemann's work on minimal surfaces.- 6. Athanase Papadopoulos: Physics in Riemann's mathematical papers.- 7.Athanase Papadopoulos: Cauchy and Puiseux: Two precursors of Riemann.- 8.Athanase Papadopoulos: Riemann surfaces: Reception by the French school.- 9.Ken'ichi Ohshika: The origin of the notion of manifold: from Riemann's Habilitationsvortrag onward.- 10.Franck Jedrzejewski: Deleuze et la geometrie riemannienne : une topologie des multiplicites.- 11.Arkady Plotnitsky: Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts.- 12.Feng Luo: The Riemann mapping theorem and its discrete counterparts.- 13.Norbert A'Campo, Vincent Alberge and Elena Frenkel: The Riemann-Roch theorem.- 14.Victor Pambuccian, Horst Struve and Rolf Struve: Metric geometries in an axiomatic perspective.- 15.Toshikazu Sunada: Generalized Riemann sums.- 16.Jacques Franchi: From Riemannian to Relativistic Diffusions.- 17.Andreas Hermann and Emmanuel Humbert: On the Positive Mass Theorem for closed Riemannian manifolds.- 18.Marc Mars: On local characterization results in geometry and gravitation.- 19.Jean-Philippe Nicolas: The conformal approach to asymptotic analysis.- 20.Lizhen Ji: Bernhard Riemann and his work.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
