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Título : Modern Differential Geometry in Gauge Theories : Maxwell Fields, Volume I Tipo de documento: documento electrónico Autores: Anastasios Mallios ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Número de páginas: XVII, 293 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4474-1 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Field theory (Physics) Global analysis (Mathematics) Manifolds Differential geometry Physics Optics Electrodynamics Elementary particles Quantum field Geometry Mathematical Methods in Theory and Polynomials Particles, Analysis on Clasificación: 51 Matemáticas Resumen: Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity Nota de contenido: Maxwell Fields: General Theory -- The Rudiments of Abstract Differential Geometry -- Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnick’s Correspondence Principle -- Electromagnetism -- Cohomological Classification of Maxwell and Hermitian Maxwell Fields -- Geometric Prequantization En línea: http://dx.doi.org/10.1007/0-8176-4474-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34865 Modern Differential Geometry in Gauge Theories : Maxwell Fields, Volume I [documento electrónico] / Anastasios Mallios ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston, 2006 . - XVII, 293 p : online resource.
ISBN : 978-0-8176-4474-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Field theory (Physics) Global analysis (Mathematics) Manifolds Differential geometry Physics Optics Electrodynamics Elementary particles Quantum field Geometry Mathematical Methods in Theory and Polynomials Particles, Analysis on Clasificación: 51 Matemáticas Resumen: Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity Nota de contenido: Maxwell Fields: General Theory -- The Rudiments of Abstract Differential Geometry -- Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnick’s Correspondence Principle -- Electromagnetism -- Cohomological Classification of Maxwell and Hermitian Maxwell Fields -- Geometric Prequantization En línea: http://dx.doi.org/10.1007/0-8176-4474-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34865 Ejemplares
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Título : Reflections on Quanta, Symmetries, and Supersymmetries Tipo de documento: documento electrónico Autores: V.S. Varadarajan ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Número de páginas: X, 236 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-0667-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Ordered algebraic structures Topological groups Lie Differential equations Probabilities Quantum physics Elementary particles (Physics) field theory Groups, Groups Physics Order, Lattices, Algebraic Structures Particles, Field Theory Ordinary Equations Probability and Stochastic Processes Clasificación: 51 Matemáticas Resumen: Unitary representation theory has great intrinsic beauty which enters other parts of mathematics at a very deep level. In quantum physics it is the preferred language for describing symmetries and supersymmetries. Two of the greatest figures in its history are Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated. Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated. The essays in this volume are like a stroll through a garden of ideas of this rich subject: quantum algebras, super geometry, unitary supersymmetries, differential equations, non-archimedean physics, are a few of the topics encountered along the way. The author, whose mathematical education evolved out of his interactions with Mackey and Harish-Chandra, concludes this volume with brief portraits of their work, embedded in the context of personal reminiscences Nota de contenido: Prologue -- Quantum foundations -- Quantum measurement -- Probability in the quantum world -- Spacetime in the ultra-small scale -- The superworld -- Symmetries and particles in the p-adic world -- Representation theory: Conversations with Harish-Chandra En línea: http://dx.doi.org/10.1007/978-1-4419-0667-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33140 Reflections on Quanta, Symmetries, and Supersymmetries [documento electrónico] / V.S. Varadarajan ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - X, 236 p : online resource.
ISBN : 978-1-4419-0667-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Ordered algebraic structures Topological groups Lie Differential equations Probabilities Quantum physics Elementary particles (Physics) field theory Groups, Groups Physics Order, Lattices, Algebraic Structures Particles, Field Theory Ordinary Equations Probability and Stochastic Processes Clasificación: 51 Matemáticas Resumen: Unitary representation theory has great intrinsic beauty which enters other parts of mathematics at a very deep level. In quantum physics it is the preferred language for describing symmetries and supersymmetries. Two of the greatest figures in its history are Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated. Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated. The essays in this volume are like a stroll through a garden of ideas of this rich subject: quantum algebras, super geometry, unitary supersymmetries, differential equations, non-archimedean physics, are a few of the topics encountered along the way. The author, whose mathematical education evolved out of his interactions with Mackey and Harish-Chandra, concludes this volume with brief portraits of their work, embedded in the context of personal reminiscences Nota de contenido: Prologue -- Quantum foundations -- Quantum measurement -- Probability in the quantum world -- Spacetime in the ultra-small scale -- The superworld -- Symmetries and particles in the p-adic world -- Representation theory: Conversations with Harish-Chandra En línea: http://dx.doi.org/10.1007/978-1-4419-0667-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33140 Ejemplares
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Título : Modern Differential Geometry in Gauge Theories : Yang¿Mills Fields, Volume II Tipo de documento: documento electrónico Autores: Anastasios Mallios ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Número de páginas: XIX, 234 p. 5 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4634-9 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Field theory (Physics) Global analysis (Mathematics) Manifolds Differential geometry Physics Optics Electrodynamics Elementary particles Quantum field Geometry Mathematical Methods in Theory and Polynomials Particles, Analysis on Clasificación: 51 Matemáticas Resumen: Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity Nota de contenido: Yang–Mills Theory:General Theory -- Abstract Yang#x2013;Mills Theory -- Moduli Spaces of -Connections of Yang#x2013;Mills Fields -- Geometry of Yang#x2013;Mills -Connections -- General Relativity -- General Relativity, as a Gauge Theory. Singularities En línea: http://dx.doi.org/10.1007/978-0-8176-4634-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33534 Modern Differential Geometry in Gauge Theories : Yang¿Mills Fields, Volume II [documento electrónico] / Anastasios Mallios ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2010 . - XIX, 234 p. 5 illus : online resource.
ISBN : 978-0-8176-4634-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Field theory (Physics) Global analysis (Mathematics) Manifolds Differential geometry Physics Optics Electrodynamics Elementary particles Quantum field Geometry Mathematical Methods in Theory and Polynomials Particles, Analysis on Clasificación: 51 Matemáticas Resumen: Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity Nota de contenido: Yang–Mills Theory:General Theory -- Abstract Yang#x2013;Mills Theory -- Moduli Spaces of -Connections of Yang#x2013;Mills Fields -- Geometry of Yang#x2013;Mills -Connections -- General Relativity -- General Relativity, as a Gauge Theory. Singularities En línea: http://dx.doi.org/10.1007/978-0-8176-4634-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33534 Ejemplares
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Título : Global Propagation of Regular Nonlinear Hyperbolic Waves Tipo de documento: documento electrónico Autores: Li Tatsien ; SpringerLink (Online service) ; Wang Libin Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2009 Colección: Progress in Nonlinear Differential Equations and Their Applications num. 76 Número de páginas: X, 252 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4635-6 Idioma : Inglés (eng) Palabras clave: Physics Mathematical analysis Analysis (Mathematics) Differential equations Partial differential Applied mathematics Engineering Elementary particles (Physics) Quantum field theory Particles, Field Theory Theoretical, and Computational Equations Ordinary Applications of Mathematics Clasificación: 51 Matemáticas Resumen: This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically, beginning with introductory material which leads to the original research of the authors. Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, this book establishes a systematic theory for the global existence and blowup mechanism of regular nonlinear hyperbolic waves with small amplitude for the Cauchy problem, the Cauchy problem on a semi-bounded initial data, the one-sided mixed initial-boundary value problem, the generalized Riemann problem, the generalized nonlinear initial-boun dary Riemann problem, and some related inverse problems. Motivation is given via a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Global Propagation of Regular Nonlinear Hyperbolic Waves will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves Nota de contenido: Preliminaries -- The Cauchy Problem -- The Cauchy Problem (Continued) -- Cauchy Problem on a Semibounded Initial Axis -- One-Sided Mixed Initial-Boundary Value Problem -- Generalized Riemann Problem -- Generalized Nonlinear Initial-Boundary Riemann Problem -- Inverse Generalized Riemann Problem -- Inverse Piston Problem En línea: http://dx.doi.org/10.1007/b78335 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33935 Global Propagation of Regular Nonlinear Hyperbolic Waves [documento electrónico] / Li Tatsien ; SpringerLink (Online service) ; Wang Libin . - Boston : Birkhäuser Boston, 2009 . - X, 252 p : online resource. - (Progress in Nonlinear Differential Equations and Their Applications; 76) .
ISBN : 978-0-8176-4635-6
Idioma : Inglés (eng)
Palabras clave: Physics Mathematical analysis Analysis (Mathematics) Differential equations Partial differential Applied mathematics Engineering Elementary particles (Physics) Quantum field theory Particles, Field Theory Theoretical, and Computational Equations Ordinary Applications of Mathematics Clasificación: 51 Matemáticas Resumen: This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically, beginning with introductory material which leads to the original research of the authors. Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, this book establishes a systematic theory for the global existence and blowup mechanism of regular nonlinear hyperbolic waves with small amplitude for the Cauchy problem, the Cauchy problem on a semi-bounded initial data, the one-sided mixed initial-boundary value problem, the generalized Riemann problem, the generalized nonlinear initial-boun dary Riemann problem, and some related inverse problems. Motivation is given via a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Global Propagation of Regular Nonlinear Hyperbolic Waves will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves Nota de contenido: Preliminaries -- The Cauchy Problem -- The Cauchy Problem (Continued) -- Cauchy Problem on a Semibounded Initial Axis -- One-Sided Mixed Initial-Boundary Value Problem -- Generalized Riemann Problem -- Generalized Nonlinear Initial-Boundary Riemann Problem -- Inverse Generalized Riemann Problem -- Inverse Piston Problem En línea: http://dx.doi.org/10.1007/b78335 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33935 Ejemplares
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Título : Lezioni di Relatività Generale e Teoria della Gravitazione : Per la Laurea Magistrale in Fisica Tipo de documento: documento electrónico Autores: Maurizio Gasperini ; SpringerLink (Online service) Editorial: Milano : Springer Milan Fecha de publicación: 2010 Otro editor: Imprint: Springer Colección: UNITEXT, ISSN 2038-5714 Número de páginas: XVIII, 294 pagg Il.: online resource ISBN/ISSN/DL: 978-88-470-1421-3 Idioma : Italiano (ita) Palabras clave: Physics Gravitation Mechanics Astrophysics Elementary particles (Physics) Quantum field theory Classical and Gravitation, Relativity Theory Particles, Field Astroparticles Physics, general Clasificación: 51 Matemáticas Resumen: Un testo moderno e autosufficiente, specificatamente progettato per i corsi semestrali della Laurea Magistrale in Fisica, e accessibile a studenti di indirizzi diversi. Si parte dalle nozioni di base della Relatività Generale e si sviluppa la teoria gravitazionale classica fino a discutere temi di forte interesse attuale, come la fenomenologia delle onde gravitazionali, l’interazione gravitazionale dei campi spinoriali e l’estensione supersimmetrica delle equazioni di Einstein. Contiene le principali informazioni sulla teoria della gravitazione che al giorno d’oggi ogni laureato in Fisica dovrebbe possedere Nota de contenido: Complementi di relatività ristretta -- Verso una teoria relativistica della gravitazione -- Calcolo tensoriale in una varietà di Riemann -- Equazioni di Maxwell e geometria di Riemann -- Corpi di prova e segnali nello spazio-tempo di Riemann -- Deviazione geodetica e tensore di curvatura -- Equazioni di Einstein per il campo gravitazionale -- Approssimazione di campo debole -- Le onde gravitazionali -- La soluzione di Schwarzschild -- La soluzione di Kasner -- Tetradi e connessione di Lorentz -- Equazione di Dirac in un campo gravitazionale -- Supersimmetria e supergravità En línea: http://dx.doi.org/10.1007/978-88-470-1421-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33796 Lezioni di Relatività Generale e Teoria della Gravitazione : Per la Laurea Magistrale in Fisica [documento electrónico] / Maurizio Gasperini ; SpringerLink (Online service) . - Milano : Springer Milan : Imprint: Springer, 2010 . - XVIII, 294 pagg : online resource. - (UNITEXT, ISSN 2038-5714) .
ISBN : 978-88-470-1421-3
Idioma : Italiano (ita)
Palabras clave: Physics Gravitation Mechanics Astrophysics Elementary particles (Physics) Quantum field theory Classical and Gravitation, Relativity Theory Particles, Field Astroparticles Physics, general Clasificación: 51 Matemáticas Resumen: Un testo moderno e autosufficiente, specificatamente progettato per i corsi semestrali della Laurea Magistrale in Fisica, e accessibile a studenti di indirizzi diversi. Si parte dalle nozioni di base della Relatività Generale e si sviluppa la teoria gravitazionale classica fino a discutere temi di forte interesse attuale, come la fenomenologia delle onde gravitazionali, l’interazione gravitazionale dei campi spinoriali e l’estensione supersimmetrica delle equazioni di Einstein. Contiene le principali informazioni sulla teoria della gravitazione che al giorno d’oggi ogni laureato in Fisica dovrebbe possedere Nota de contenido: Complementi di relatività ristretta -- Verso una teoria relativistica della gravitazione -- Calcolo tensoriale in una varietà di Riemann -- Equazioni di Maxwell e geometria di Riemann -- Corpi di prova e segnali nello spazio-tempo di Riemann -- Deviazione geodetica e tensore di curvatura -- Equazioni di Einstein per il campo gravitazionale -- Approssimazione di campo debole -- Le onde gravitazionali -- La soluzione di Schwarzschild -- La soluzione di Kasner -- Tetradi e connessione di Lorentz -- Equazione di Dirac in un campo gravitazionale -- Supersimmetria e supergravità En línea: http://dx.doi.org/10.1007/978-88-470-1421-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33796 Ejemplares
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