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From Riemann to Differential Geometry and Relativity Lizhen Ji

From Riemann to Differential Geometry and Relativity By Lizhen Ji

From Riemann to Differential Geometry and Relativity by Lizhen Ji


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Summary

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.


From Riemann to Differential Geometry and Relativity Summary

From Riemann to Differential Geometry and Relativity by Lizhen Ji

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemanns ideas and demonstrate their timelessness.The editors are convinced of the tremendous value of going into Riemanns work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.


About Lizhen Ji

Lizhen Ji is a specialist in geometry and the author and editor of numerous books and articles. He currently teaches at Michigan and at several universities in China, and serves as an editor for several journals.Athanase Papadopoulos is the author/editor of 100 papers and over 20 books on mathematics and the history of mathematics. Directeur de Recherche at the CNRS, he has also been a visiting scholar at several universities and research centers (Princeton, MPI Bonn, ESI Vienna, CUNY New York, USC Los Angeles, etc.).Sumio Yamada has worked extensively in the US and Japan (Tohoku in Sendai, followed by Gakushuin in Tokyo). He is the author of several research articles.
Lizhen Ji, A. Papadopoulos and S. Yamada have engaged in several fruitful scientific collaborations.

Table of Contents

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 Uber 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'ichiOhshika: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 RiemannRoch 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.

Additional information

NPB9783319600383
9783319600383
3319600389
From Riemann to Differential Geometry and Relativity by Lizhen Ji
New
Hardback
Springer International Publishing AG
2017-10-10
647
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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