Topological geometry:
The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1981
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and differentiable maps that leads up to the definitions of smooth manifolds and their tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends earlier work on the Spin groups in the chapter on Clifford algebras. The details include a number of important transitive group actions and a description of one of the exceptional Lie groups, the group G2. A number of corrections and improvements have also been made. There are many exercises throughout the book and senior undergraduates in mathematics as well as first-year graduate students will continue to find it stimulating and rewarding |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (486 pages) |
| ISBN: | 9780511623943 |
| DOI: | 10.1017/CBO9780511623943 |
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| 520 | |a The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and differentiable maps that leads up to the definitions of smooth manifolds and their tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends earlier work on the Spin groups in the chapter on Clifford algebras. The details include a number of important transitive group actions and a description of one of the exceptional Lie groups, the group G2. A number of corrections and improvements have also been made. There are many exercises throughout the book and senior undergraduates in mathematics as well as first-year graduate students will continue to find it stimulating and rewarding | ||
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Datensatz im Suchindex
| _version_ | 1804176888662327296 |
|---|---|
| any_adam_object | |
| author | Porteous, Ian R. |
| author_facet | Porteous, Ian R. |
| author_role | aut |
| author_sort | Porteous, Ian R. |
| author_variant | i r p ir irp |
| building | Verbundindex |
| bvnumber | BV043944123 |
| classification_rvk | SK 280 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511623943 (OCoLC)967603537 (DE-599)BVBBV043944123 |
| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511623943 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:20Z |
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| isbn | 9780511623943 |
| language | English |
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| spelling | Porteous, Ian R. Verfasser aut Topological geometry Ian R. Porteous Cambridge Cambridge University Press 1981 1 online resource (486 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and differentiable maps that leads up to the definitions of smooth manifolds and their tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends earlier work on the Spin groups in the chapter on Clifford algebras. The details include a number of important transitive group actions and a description of one of the exceptional Lie groups, the group G2. A number of corrections and improvements have also been made. There are many exercises throughout the book and senior undergraduates in mathematics as well as first-year graduate students will continue to find it stimulating and rewarding Geometry, Algebraic Topology Algebras, Linear Approximation theory Topologie (DE-588)4060425-1 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Topologische Geometrie (DE-588)4330788-7 gnd rswk-swf Affine Approximation (DE-588)4141562-0 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Geometrie (DE-588)4020236-7 s Topologie (DE-588)4060425-1 s 2\p DE-604 Topologische Geometrie (DE-588)4330788-7 s 3\p DE-604 Affine Approximation (DE-588)4141562-0 s 4\p DE-604 Erscheint auch als Druckausgabe 978-0-521-23160-2 Erscheint auch als Druckausgabe 978-0-521-29839-1 https://doi.org/10.1017/CBO9780511623943 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Porteous, Ian R. Topological geometry Geometry, Algebraic Topology Algebras, Linear Approximation theory Topologie (DE-588)4060425-1 gnd Geometrie (DE-588)4020236-7 gnd Topologische Geometrie (DE-588)4330788-7 gnd Affine Approximation (DE-588)4141562-0 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4020236-7 (DE-588)4330788-7 (DE-588)4141562-0 (DE-588)4151278-9 |
| title | Topological geometry |
| title_auth | Topological geometry |
| title_exact_search | Topological geometry |
| title_full | Topological geometry Ian R. Porteous |
| title_fullStr | Topological geometry Ian R. Porteous |
| title_full_unstemmed | Topological geometry Ian R. Porteous |
| title_short | Topological geometry |
| title_sort | topological geometry |
| topic | Geometry, Algebraic Topology Algebras, Linear Approximation theory Topologie (DE-588)4060425-1 gnd Geometrie (DE-588)4020236-7 gnd Topologische Geometrie (DE-588)4330788-7 gnd Affine Approximation (DE-588)4141562-0 gnd |
| topic_facet | Geometry, Algebraic Topology Algebras, Linear Approximation theory Topologie Geometrie Topologische Geometrie Affine Approximation Einführung |
| url | https://doi.org/10.1017/CBO9780511623943 |
| work_keys_str_mv | AT porteousianr topologicalgeometry |