From Riemann to differential geometry and relativity. (2017)

• Record Type: Book
• Further Information: Note: Edited by Lizhen Ji, Athanase Papadopoulos, Sumio Yamada.
• Other Names: Ji, Lizhen; Papadopoulos, Athanase; Yamada, Sumio
• 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 Über 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 géométrie riemannienne : une topologie des multiplicités -- 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.
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (XXXIV, 647 pages)
• Subjects: 510.9; Geometry, Differential; Relativity (Physics); MATHEMATICS -- Geometry -- General; Geometry, Differential; Relativity (Physics); Mathematics; History of Mathematical Sciences; Differential Geometry; Electronic books
• Languages: English
• ISBNs: 9783319600390; 3319600397
• Related ISBNs: 9783319600383; 3319600389
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.