Lie groups, physics, and geometry: an introduction for physicists, engineers and chemists
Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 319 pages) |
| ISBN: | 9780511791390 |
| DOI: | 10.1017/CBO9780511791390 |
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| 520 | |a Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields | ||
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| author | Gilmore, Robert 1941- |
| author_facet | Gilmore, Robert 1941- |
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| author_sort | Gilmore, Robert 1941- |
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| bvnumber | BV043942934 |
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| contents | Lie groups -- Matrix groups -- Lie algebras -- Matrix algebras -- Operator algebras -- EXPonentiation -- Structure theory for Lie algebras -- Structure theory for simple Lie algebras -- Root spaces and Dynkin diagrams -- Real forms -- Riemannian symmetric spaces -- Contraction -- Hydrogenic atoms -- Maxwell's equations -- Lie groups and differential equations |
| ctrlnum | (ZDB-20-CBO)CR9780511791390 (OCoLC)850699205 (DE-599)BVBBV043942934 |
| dewey-full | 512.482 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.482 |
| dewey-search | 512.482 |
| dewey-sort | 3512.482 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511791390 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9780511791390 |
| language | English |
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| spelling | Gilmore, Robert 1941- Verfasser aut Lie groups, physics, and geometry an introduction for physicists, engineers and chemists Robert Gilmore Lie Groups, Physics, & Geometry Cambridge Cambridge University Press 2008 1 online resource (xi, 319 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Lie groups -- Matrix groups -- Lie algebras -- Matrix algebras -- Operator algebras -- EXPonentiation -- Structure theory for Lie algebras -- Structure theory for simple Lie algebras -- Root spaces and Dynkin diagrams -- Real forms -- Riemannian symmetric spaces -- Contraction -- Hydrogenic atoms -- Maxwell's equations -- Lie groups and differential equations Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields Lie groups Group theory Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s 1\p DE-604 Lie-Gruppe (DE-588)4035695-4 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-88400-6 https://doi.org/10.1017/CBO9780511791390 Verlag URL des Erstveröffentlichers 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 | Gilmore, Robert 1941- Lie groups, physics, and geometry an introduction for physicists, engineers and chemists Lie groups -- Matrix groups -- Lie algebras -- Matrix algebras -- Operator algebras -- EXPonentiation -- Structure theory for Lie algebras -- Structure theory for simple Lie algebras -- Root spaces and Dynkin diagrams -- Real forms -- Riemannian symmetric spaces -- Contraction -- Hydrogenic atoms -- Maxwell's equations -- Lie groups and differential equations Lie groups Group theory Lie-Gruppe (DE-588)4035695-4 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4130355-6 |
| title | Lie groups, physics, and geometry an introduction for physicists, engineers and chemists |
| title_alt | Lie Groups, Physics, & Geometry |
| title_auth | Lie groups, physics, and geometry an introduction for physicists, engineers and chemists |
| title_exact_search | Lie groups, physics, and geometry an introduction for physicists, engineers and chemists |
| title_full | Lie groups, physics, and geometry an introduction for physicists, engineers and chemists Robert Gilmore |
| title_fullStr | Lie groups, physics, and geometry an introduction for physicists, engineers and chemists Robert Gilmore |
| title_full_unstemmed | Lie groups, physics, and geometry an introduction for physicists, engineers and chemists Robert Gilmore |
| title_short | Lie groups, physics, and geometry |
| title_sort | lie groups physics and geometry an introduction for physicists engineers and chemists |
| title_sub | an introduction for physicists, engineers and chemists |
| topic | Lie groups Group theory Lie-Gruppe (DE-588)4035695-4 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Lie groups Group theory Lie-Gruppe Lie-Algebra |
| url | https://doi.org/10.1017/CBO9780511791390 |
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