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 relationship of Lie groups to many branches of mathematics and physics and illustrates these with concrete c...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2008.
|
| Schlagworte: | |
| Online-Zugang: | 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 relationship of Lie groups to many branches of mathematics and physics and illustrates these with concrete computations. Many examples of Lie groups and Lie algebras are given throughout the text, with applications of the material to physical sciences and applied mathematics 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."--Jacket |
| Beschreibung: | 1 online resource (xi, 319 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 309-312) and index. |
| ISBN: | 9780511379277 0511379277 0511378408 9780511378409 9780511373237 0511373236 9780511376580 0511376588 9780511791390 0511791399 9781139637688 1139637681 |
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| 505 | 0 | |a 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. | |
| 520 | 1 | |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 relationship of Lie groups to many branches of mathematics and physics and illustrates these with concrete computations. Many examples of Lie groups and Lie algebras are given throughout the text, with applications of the material to physical sciences and applied mathematics | |
| 520 | 8 | |a 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."--Jacket | |
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| author | Gilmore, Robert, 1941- |
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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 | (OCoLC)227363929 |
| dewey-full | 512.482 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512.482 |
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| discipline | Mathematik |
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| genre | Electronic book. Electronic books. |
| genre_facet | Electronic book. Electronic books. |
| id | ZDB-4-EBA-ocn227363929 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:20Z |
| institution | BVB |
| isbn | 9780511379277 0511379277 0511378408 9780511378409 9780511373237 0511373236 9780511376580 0511376588 9780511791390 0511791399 9781139637688 1139637681 |
| language | English |
| oclc_num | 227363929 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 319 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Gilmore, Robert, 1941- https://id.oclc.org/worldcat/entity/E39PBJwRPvqTTyrFDX6YVc7mBP http://id.loc.gov/authorities/names/n87844854 Lie groups, physics, and geometry : an introduction for physicists, engineers and chemists / Robert Gilmore. Cambridge ; New York : Cambridge University Press, 2008. 1 online resource (xi, 319 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 309-312) and index. Print version record. 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 relationship of Lie groups to many branches of mathematics and physics and illustrates these with concrete computations. Many examples of Lie groups and Lie algebras are given throughout the text, with applications of the material to physical sciences and applied mathematics 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."--Jacket Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Théorie des groupes. Groupes de Lie. MATHEMATICS Algebra Intermediate. bisacsh Group theory fast Lie groups fast Lie-Gruppe gnd http://d-nb.info/gnd/4035695-4 Gruppentheorie gnd Groupes, Théorie des. ram Lie, Groupes de. ram Electronic book. Electronic books. has work: Lie groups, physics, and geometry (Text) https://id.oclc.org/worldcat/entity/E39PCFKvwrD4JVPcKccwWYbHkC https://id.oclc.org/worldcat/ontology/hasWork Print version: Gilmore, Robert, 1941- Lie groups, physics, and geometry. Cambridge ; New York : Cambridge University Press, 2008 9780521884006 0521884004 (DLC) 2008272822 (OCoLC)175284084 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=220405 Volltext |
| 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. Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Théorie des groupes. Groupes de Lie. MATHEMATICS Algebra Intermediate. bisacsh Group theory fast Lie groups fast Lie-Gruppe gnd http://d-nb.info/gnd/4035695-4 Gruppentheorie gnd Groupes, Théorie des. ram Lie, Groupes de. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85057512 http://id.loc.gov/authorities/subjects/sh85076786 http://d-nb.info/gnd/4035695-4 |
| title | Lie groups, physics, and geometry : an introduction for physicists, engineers and chemists / |
| 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 | Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Théorie des groupes. Groupes de Lie. MATHEMATICS Algebra Intermediate. bisacsh Group theory fast Lie groups fast Lie-Gruppe gnd http://d-nb.info/gnd/4035695-4 Gruppentheorie gnd Groupes, Théorie des. ram Lie, Groupes de. ram |
| topic_facet | Group theory. Lie groups. Théorie des groupes. Groupes de Lie. MATHEMATICS Algebra Intermediate. Group theory Lie groups Lie-Gruppe Gruppentheorie Groupes, Théorie des. Lie, Groupes de. Electronic book. Electronic books. |
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| work_keys_str_mv | AT gilmorerobert liegroupsphysicsandgeometryanintroductionforphysicistsengineersandchemists |