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Autor Papadopoulos, Athanase |
Documentos disponibles escritos por este autor (3)
Crear una solicitud de compra Refinar búsquedaFrom Riemann to Differential Geometry and Relativity / Ji, Lizhen ; Papadopoulos, Athanase ; Yamada, Sumio
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 Ãœber 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 Ãœber 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 [...]
TÃtulo : Geometry in History Tipo de documento: documento electrónico Autores: Dani, S. G., ; Papadopoulos, Athanase, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2019 Número de páginas: XVI, 750 p. 104 ilustraciones, 51 ilustraciones en color. ISBN/ISSN/DL: 978-3-030-13609-3 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 TopologÃa Funciones de variables complejas GeometrÃa proyectiva Historia de las Ciencias Matemáticas Funciones de una variable compleja Clasificación: 516.5 Resumen: Esta es una colección de estudios sobre ideas matemáticas importantes, su origen, su evolución y su impacto en la investigación actual. Los autores son matemáticos destacados expertos en sus campos. El libro está dirigido a todos los matemáticos, desde estudiantes universitarios hasta investigadores experimentados, independientemente de su especialidad. Nota de contenido: Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics -- Convexity in Greek Antiquity -- On the Concept of Curve: Geometry and Algebra, fromMathematicalModernity to MathematicalModernism -- From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe -- A Path in History, from Curvature to Convexity -- The Axiomatic Destiny of the Theorems of Pappus and Desargues -- Projective Configuration Theorems: Old Wine into New Wineskins -- Poincaré's GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- René Thom and an Anticipated h-Principle -- Rigid and Flexible Facets of Symplectic Topology -- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective -- Basic Aspects of Differential Geometry -- The Global Study of Riemannian-Finsler Geometry -- The Poincaré Conjectureand Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index. Tipo de medio : Computadora Summary : This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Geometry in History [documento electrónico] / Dani, S. G., ; Papadopoulos, Athanase, . - 1 ed. . - [s.l.] : Springer, 2019 . - XVI, 750 p. 104 ilustraciones, 51 ilustraciones en color.
ISBN : 978-3-030-13609-3
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 TopologÃa Funciones de variables complejas GeometrÃa proyectiva Historia de las Ciencias Matemáticas Funciones de una variable compleja Clasificación: 516.5 Resumen: Esta es una colección de estudios sobre ideas matemáticas importantes, su origen, su evolución y su impacto en la investigación actual. Los autores son matemáticos destacados expertos en sus campos. El libro está dirigido a todos los matemáticos, desde estudiantes universitarios hasta investigadores experimentados, independientemente de su especialidad. Nota de contenido: Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics -- Convexity in Greek Antiquity -- On the Concept of Curve: Geometry and Algebra, fromMathematicalModernity to MathematicalModernism -- From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe -- A Path in History, from Curvature to Convexity -- The Axiomatic Destiny of the Theorems of Pappus and Desargues -- Projective Configuration Theorems: Old Wine into New Wineskins -- Poincaré's GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- René Thom and an Anticipated h-Principle -- Rigid and Flexible Facets of Symplectic Topology -- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective -- Basic Aspects of Differential Geometry -- The Global Study of Riemannian-Finsler Geometry -- The Poincaré Conjectureand Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index. Tipo de medio : Computadora Summary : This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
TÃtulo : In the Tradition of Thurston : Geometry and Topology Tipo de documento: documento electrónico Autores: Ohshika, Ken'ichi, ; Papadopoulos, Athanase, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2020 Número de páginas: XXI, 713 p. 81 ilustraciones, 37 ilustraciones en color. ISBN/ISSN/DL: 978-3-030-55928-1 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: GeometrÃa TopologÃa Clasificación: 516 Geometría Resumen: Este libro consta de 16 estudios sobre el trabajo de Thurston y su desarrollo posterior. Los autores son matemáticos que estuvieron fuertemente influenciados por las publicaciones e ideas de Thurston. Los temas discutidos incluyen, entre otros, la teorÃa de nudos, la topologÃa de 3 variedades, empaquetamiento de cÃrculos, estructuras proyectivas complejas, geometrÃa hiperbólica, grupos kleinianos, foliaciones, grupos de clases de mapeo, teorÃa de Teichmüller, geometrÃa anti-de Sitter y co-Minkowski. geometrÃa. El libro está dirigido a investigadores y estudiantes que quieran aprender sobre las amplias ideas matemáticas de Thurston y su impacto. Al mismo tiempo, es un homenaje a Thurston, uno de los más grandes geómetras de todos los tiempos, cuyo trabajo se extendió a muchos campos de las matemáticas y que tenÃa una forma única de percibir formas y patrones, y de comunicar y escribir matemáticas. . Nota de contenido: Preface. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 2: Thurston's influence on Japanese topologists up to the 1980s. (Ken'ichi Ohshika) -- Chapter 3: A survey of the impact of Thurston's work on Knot Theory. (Makoto Sakuma) -- Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima) -- Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston in the story of one theorem. (Philip Bowers) -- Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba) -- Chapter 7: A short proof of an assertion of Thurston concerning convex hulls. (Graham Smith) -- Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire) -- Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi Ohshika and Teruhiko Soma) -- Chapter 10: Laminar groups and 3-manifolds.(Hyungryul Baik and KyeongRo Kim) -- Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik) -- Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis) -- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi) -- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo) -- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi) -- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre). Tipo de medio : Computadora Summary : This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston's wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics. . Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] In the Tradition of Thurston : Geometry and Topology [documento electrónico] / Ohshika, Ken'ichi, ; Papadopoulos, Athanase, . - 1 ed. . - [s.l.] : Springer, 2020 . - XXI, 713 p. 81 ilustraciones, 37 ilustraciones en color.
ISBN : 978-3-030-55928-1
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: GeometrÃa TopologÃa Clasificación: 516 Geometría Resumen: Este libro consta de 16 estudios sobre el trabajo de Thurston y su desarrollo posterior. Los autores son matemáticos que estuvieron fuertemente influenciados por las publicaciones e ideas de Thurston. Los temas discutidos incluyen, entre otros, la teorÃa de nudos, la topologÃa de 3 variedades, empaquetamiento de cÃrculos, estructuras proyectivas complejas, geometrÃa hiperbólica, grupos kleinianos, foliaciones, grupos de clases de mapeo, teorÃa de Teichmüller, geometrÃa anti-de Sitter y co-Minkowski. geometrÃa. El libro está dirigido a investigadores y estudiantes que quieran aprender sobre las amplias ideas matemáticas de Thurston y su impacto. Al mismo tiempo, es un homenaje a Thurston, uno de los más grandes geómetras de todos los tiempos, cuyo trabajo se extendió a muchos campos de las matemáticas y que tenÃa una forma única de percibir formas y patrones, y de comunicar y escribir matemáticas. . Nota de contenido: Preface. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 2: Thurston's influence on Japanese topologists up to the 1980s. (Ken'ichi Ohshika) -- Chapter 3: A survey of the impact of Thurston's work on Knot Theory. (Makoto Sakuma) -- Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima) -- Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston in the story of one theorem. (Philip Bowers) -- Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba) -- Chapter 7: A short proof of an assertion of Thurston concerning convex hulls. (Graham Smith) -- Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire) -- Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi Ohshika and Teruhiko Soma) -- Chapter 10: Laminar groups and 3-manifolds.(Hyungryul Baik and KyeongRo Kim) -- Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik) -- Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis) -- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi) -- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo) -- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi) -- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre). Tipo de medio : Computadora Summary : This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston's wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics. . Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
