| TÃtulo : |
From Riemann to Differential Geometry and Relativity |
| Tipo de documento: |
documento electrónico |
| Autores: |
Ji, Lizhen, ; Papadopoulos, Athanase, ; Yamada, Sumio, |
| Mención de edición: |
1 ed. |
| Editorial: |
[s.l.] : Springer |
| Fecha de publicación: |
2017 |
| Número de páginas: |
XXXIV, 647 p. 24 ilustraciones |
| ISBN/ISSN/DL: |
978-3-319-60039-0 |
| Nota general: |
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Matemáticas Historia GeometrÃa Diferencial Historia de las Ciencias Matemáticas GeometrÃa diferencial |
| Clasificación: |
510.9 |
| Resumen: |
Este libro explora el trabajo de Bernhard Riemann y su impacto en las matemáticas, la filosofÃa y la fÃsica. Presenta contribuciones de diversos campos, exposiciones históricas y artÃculos de investigación seleccionados que fueron motivados por las ideas de Riemann y demuestran su atemporalidad. Los editores están convencidos del enorme valor de profundizar en la obra de Riemann, investigar sus ideas originales, integrarlas en una perspectiva más amplia y establecer vÃnculos con la ciencia y la filosofÃa modernas. En consecuencia, los contribuyentes de este volumen son matemáticos, fÃsicos, filósofos e historiadores de la ciencia. El libro ofrece un recurso único para estudiantes e investigadores en los campos de las matemáticas, la fÃsica y la filosofÃa, historiadores de la ciencia y, en general, para una amplia gama de lectores interesados ​​en la historia de las ideas. |
| Nota de contenido: |
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. |
| Tipo de medio : |
Computadora |
| Summary : |
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 Riemann's ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann's 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. |
| Enlace de acceso : |
https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] |
From Riemann to Differential Geometry and Relativity [documento electrónico] / Ji, Lizhen, ; Papadopoulos, Athanase, ; Yamada, Sumio, . - 1 ed. . - [s.l.] : Springer, 2017 . - XXXIV, 647 p. 24 ilustraciones. ISBN : 978-3-319-60039-0 Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés ( eng)
| Palabras clave: |
Matemáticas Historia GeometrÃa Diferencial Historia de las Ciencias Matemáticas GeometrÃa diferencial |
| Clasificación: |
510.9 |
| Resumen: |
Este libro explora el trabajo de Bernhard Riemann y su impacto en las matemáticas, la filosofÃa y la fÃsica. Presenta contribuciones de diversos campos, exposiciones históricas y artÃculos de investigación seleccionados que fueron motivados por las ideas de Riemann y demuestran su atemporalidad. Los editores están convencidos del enorme valor de profundizar en la obra de Riemann, investigar sus ideas originales, integrarlas en una perspectiva más amplia y establecer vÃnculos con la ciencia y la filosofÃa modernas. En consecuencia, los contribuyentes de este volumen son matemáticos, fÃsicos, filósofos e historiadores de la ciencia. El libro ofrece un recurso único para estudiantes e investigadores en los campos de las matemáticas, la fÃsica y la filosofÃa, historiadores de la ciencia y, en general, para una amplia gama de lectores interesados ​​en la historia de las ideas. |
| Nota de contenido: |
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. |
| Tipo de medio : |
Computadora |
| Summary : |
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 Riemann's ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann's 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. |
| Enlace de acceso : |
https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] |
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