Differential geometry and lie groups for physicists:
Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symp...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBM01 UER01 Volltext |
| Zusammenfassung: | Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9780511755590 |
| DOI: | 10.1017/CBO9780511755590 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043945763 | ||
| 003 | DE-604 | ||
| 005 | 20231215 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2010 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511755590 |c Online |9 978-0-511-75559-0 | ||
| 024 | 7 | |a 10.1017/CBO9780511755590 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511755590 | ||
| 035 | |a (OCoLC)967605289 | ||
| 035 | |a (DE-599)BVBBV043945763 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-29 |a DE-92 |a DE-19 | ||
| 082 | 0 | |a 530.15636 |2 22 | |
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 100 | 1 | |a Fecko, Marián |e Verfasser |0 (DE-588)143181653 |4 aut | |
| 245 | 1 | 0 | |a Differential geometry and lie groups for physicists |c Marián Fecko |
| 246 | 1 | 3 | |a Differential Geometry & Lie Groups for Physicists |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2010 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | |a Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses | ||
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgeometrie |0 (DE-588)4012248-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
| 689 | 0 | 1 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
| 689 | 1 | 1 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Hardcover |z 978-0-521-84507-6 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511755590 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029354734 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511755590 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511755590 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO_Kauf |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511755590 |l UBM01 |p ZDB-20-CBO |q UBM_PDA_CBO_Kauf_2023 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511755590 |l UER01 |p ZDB-20-CBO |q UER_PDA_CBO_Kauf |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176892326051840 |
|---|---|
| any_adam_object | |
| author | Fecko, Marián |
| author_GND | (DE-588)143181653 |
| author_facet | Fecko, Marián |
| author_role | aut |
| author_sort | Fecko, Marián |
| author_variant | m f mf |
| building | Verbundindex |
| bvnumber | BV043945763 |
| classification_rvk | SK 370 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511755590 (OCoLC)967605289 (DE-599)BVBBV043945763 |
| dewey-full | 530.15636 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15636 |
| dewey-search | 530.15636 |
| dewey-sort | 3530.15636 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511755590 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03580nmm a2200589zc 4500</leader><controlfield tag="001">BV043945763</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20231215 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2010 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511755590</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-75559-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511755590</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511755590</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967605289</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043945763</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15636</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fecko, Marián</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)143181653</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Differential geometry and lie groups for physicists</subfield><subfield code="c">Marián Fecko</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Differential Geometry & Lie Groups for Physicists</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Differential</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lie-Gruppe</subfield><subfield code="0">(DE-588)4035695-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lie-Gruppe</subfield><subfield code="0">(DE-588)4035695-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Hardcover</subfield><subfield code="z">978-0-521-84507-6</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511755590</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029354734</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511755590</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511755590</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511755590</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBM_PDA_CBO_Kauf_2023</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511755590</subfield><subfield code="l">UER01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UER_PDA_CBO_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043945763 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511755590 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354734 |
| oclc_num | 967605289 |
| open_access_boolean | |
| owner | DE-12 DE-29 DE-92 DE-19 DE-BY-UBM |
| owner_facet | DE-12 DE-29 DE-92 DE-19 DE-BY-UBM |
| physical | 1 Online-Ressource |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO_Kauf ZDB-20-CBO UBM_PDA_CBO_Kauf_2023 ZDB-20-CBO UER_PDA_CBO_Kauf |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Fecko, Marián Verfasser (DE-588)143181653 aut Differential geometry and lie groups for physicists Marián Fecko Differential Geometry & Lie Groups for Physicists Cambridge Cambridge University Press 2010 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses Mathematische Physik Geometry, Differential Lie groups Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-84507-6 https://doi.org/10.1017/CBO9780511755590 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 | Fecko, Marián Differential geometry and lie groups for physicists Mathematische Physik Geometry, Differential Lie groups Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Lie-Gruppe (DE-588)4035695-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4035695-4 (DE-588)4012248-7 |
| title | Differential geometry and lie groups for physicists |
| title_alt | Differential Geometry & Lie Groups for Physicists |
| title_auth | Differential geometry and lie groups for physicists |
| title_exact_search | Differential geometry and lie groups for physicists |
| title_full | Differential geometry and lie groups for physicists Marián Fecko |
| title_fullStr | Differential geometry and lie groups for physicists Marián Fecko |
| title_full_unstemmed | Differential geometry and lie groups for physicists Marián Fecko |
| title_short | Differential geometry and lie groups for physicists |
| title_sort | differential geometry and lie groups for physicists |
| topic | Mathematische Physik Geometry, Differential Lie groups Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Lie-Gruppe (DE-588)4035695-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Mathematische Physik Geometry, Differential Lie groups Mathematical physics Lie-Gruppe Differentialgeometrie |
| url | https://doi.org/10.1017/CBO9780511755590 |
| work_keys_str_mv | AT feckomarian differentialgeometryandliegroupsforphysicists AT feckomarian differentialgeometryliegroupsforphysicists |