Mathematical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1988
|
| Schriftenreihe: | North-Holland mathematics studies
152 Notas de matemática (Rio de Janeiro, Brazil) no. 121 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | An introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research. All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index Includes bibliographical references (p. 377-391) and index |
| Beschreibung: | 1 Online-Ressource (x, 399 p.) |
| ISBN: | 9780444704436 0444704434 |
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| 500 | |a Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index | ||
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| spelling | Carroll, Robert Wayne Verfasser aut Mathematical physics Robert Carroll Amsterdam North-Holland 1988 1 Online-Ressource (x, 399 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 152 Notas de matemática (Rio de Janeiro, Brazil) no. 121 An introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research. All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index Includes bibliographical references (p. 377-391) and index Physique mathématique Physique mathématique ram Mathematical physics fast Mathematische Physik Mathematical physics Physik (DE-588)4045956-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Physik (DE-588)4045956-1 s 2\p DE-604 Mathematische Methode (DE-588)4155620-3 s 3\p DE-604 Analysis (DE-588)4001865-9 s 4\p DE-604 Topologie (DE-588)4060425-1 s 5\p DE-604 Quantenfeldtheorie (DE-588)4047984-5 s 6\p DE-604 http://www.sciencedirect.com/science/book/9780444704436 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Carroll, Robert Wayne Mathematical physics Physique mathématique Physique mathématique ram Mathematical physics fast Mathematische Physik Mathematical physics Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Topologie (DE-588)4060425-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4001865-9 (DE-588)4155620-3 (DE-588)4037952-8 (DE-588)4060425-1 (DE-588)4047984-5 |
| title | Mathematical physics |
| title_auth | Mathematical physics |
| title_exact_search | Mathematical physics |
| title_full | Mathematical physics Robert Carroll |
| title_fullStr | Mathematical physics Robert Carroll |
| title_full_unstemmed | Mathematical physics Robert Carroll |
| title_short | Mathematical physics |
| title_sort | mathematical physics |
| topic | Physique mathématique Physique mathématique ram Mathematical physics fast Mathematische Physik Mathematical physics Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Topologie (DE-588)4060425-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Physique mathématique Mathematical physics Mathematische Physik Physik Analysis Mathematische Methode Topologie Quantenfeldtheorie |
| url | http://www.sciencedirect.com/science/book/9780444704436 |
| work_keys_str_mv | AT carrollrobertwayne mathematicalphysics |