Modern differential geometry for physicists:
These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course "Fundamental Fields and Forces" at Imperial College. The book is concer...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1989
|
| Schriftenreihe: | World Scientific lecture notes in physics
vol. 32 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course "Fundamental Fields and Forces" at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen with an eye to the way in which differential geometry is applied these days to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, non-linear sigma-models and other types of non-linear field systems that feature in modern quantum field theory. This volume is in three parts dealing with, respectively, (i) introductory coordinate-free differential geometry, (ii) geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, (iii) introduction to the theory of fibre bundles. In the first part of the book the author has laid considerable stress on the basic ideas of "tangent space structure" which he develops from several different points of view: some geometrical, and others more algebraic. This is done with the awareness of the difficulty which physics graduate students often experience when being exposed for the first time to the rather abstract ideas of differential geometry |
| Beschreibung: | Includes index |
| Beschreibung: | vii, 182 p. ill |
| ISBN: | 9789812799173 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812799173 |
| language | English |
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| physical | vii, 182 p. ill |
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| spelling | Isham, C. J. Verfasser aut Modern differential geometry for physicists Chris J. Isham Singapore World Scientific Pub. Co. c1989 vii, 182 p. ill txt rdacontent c rdamedia cr rdacarrier World Scientific lecture notes in physics vol. 32 Includes index These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course "Fundamental Fields and Forces" at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen with an eye to the way in which differential geometry is applied these days to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, non-linear sigma-models and other types of non-linear field systems that feature in modern quantum field theory. This volume is in three parts dealing with, respectively, (i) introductory coordinate-free differential geometry, (ii) geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, (iii) introduction to the theory of fibre bundles. In the first part of the book the author has laid considerable stress on the basic ideas of "tangent space structure" which he develops from several different points of view: some geometrical, and others more algebraic. This is done with the awareness of the difficulty which physics graduate students often experience when being exposed for the first time to the rather abstract ideas of differential geometry Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Physik (DE-588)4045956-1 s 1\p DE-604 Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789971509569 http://www.worldscientific.com/worldscibooks/10.1142/0894#t=toc Verlag URL des Erstveroeffentlichers 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 |
| spellingShingle | Isham, C. J. Modern differential geometry for physicists Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd Physik (DE-588)4045956-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4045956-1 (DE-588)4037952-8 |
| title | Modern differential geometry for physicists |
| title_auth | Modern differential geometry for physicists |
| title_exact_search | Modern differential geometry for physicists |
| title_full | Modern differential geometry for physicists Chris J. Isham |
| title_fullStr | Modern differential geometry for physicists Chris J. Isham |
| title_full_unstemmed | Modern differential geometry for physicists Chris J. Isham |
| title_short | Modern differential geometry for physicists |
| title_sort | modern differential geometry for physicists |
| topic | Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd Physik (DE-588)4045956-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Geometry, Differential Differentialgeometrie Physik Mathematische Physik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/0894#t=toc |
| work_keys_str_mv | AT ishamcj moderndifferentialgeometryforphysicists |