Applicable differential geometry:
This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitati...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1986
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| Schriftenreihe: | London Mathematical Society lecture note series
59 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (394 pages) |
| ISBN: | 9780511623905 |
| DOI: | 10.1017/CBO9780511623905 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
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Datensatz im Suchindex
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| author | Crampin, M. |
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| dewey-full | 516.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511623905 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511623905 |
| language | English |
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| publishDate | 1986 |
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| series2 | London Mathematical Society lecture note series |
| spelling | Crampin, M. Verfasser aut Applicable differential geometry M. Crampin, F.A.E. Pirani Cambridge Cambridge University Press 1986 1 online resource (394 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 59 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students Geometry, Differential Mechanics Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 Pirani, F. A. E. 1928-2015 Sonstige oth Erscheint auch als Druckausgabe 978-0-521-23190-9 https://doi.org/10.1017/CBO9780511623905 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 | Crampin, M. Applicable differential geometry Geometry, Differential Mechanics Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4151278-9 |
| title | Applicable differential geometry |
| title_auth | Applicable differential geometry |
| title_exact_search | Applicable differential geometry |
| title_full | Applicable differential geometry M. Crampin, F.A.E. Pirani |
| title_fullStr | Applicable differential geometry M. Crampin, F.A.E. Pirani |
| title_full_unstemmed | Applicable differential geometry M. Crampin, F.A.E. Pirani |
| title_short | Applicable differential geometry |
| title_sort | applicable differential geometry |
| topic | Geometry, Differential Mechanics Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Geometry, Differential Mechanics Differentialgeometrie Einführung |
| url | https://doi.org/10.1017/CBO9780511623905 |
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