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Curvature in mathematics and physics
This original Dover textbook is based on an advanced undergraduate course taught by the author for more than 50 years. It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool....
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| Lenguaje: | eng |
| Publicado: |
Dover
2012
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| Acceso en línea: | http://cds.cern.ch/record/1604832 |
| _version_ | 1780931609742016512 |
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| author | Sternberg, Shlomo |
| author_facet | Sternberg, Shlomo |
| author_sort | Sternberg, Shlomo |
| collection | CERN |
| description | This original Dover textbook is based on an advanced undergraduate course taught by the author for more than 50 years. It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition. |
| id | cern-1604832 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2012 |
| publisher | Dover |
| record_format | invenio |
| spelling | cern-16048322021-04-21T22:24:41Zhttp://cds.cern.ch/record/1604832engSternberg, ShlomoCurvature in mathematics and physicsMathematical Physics and MathematicsThis original Dover textbook is based on an advanced undergraduate course taught by the author for more than 50 years. It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.This original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Starting with an introduction to the various curvatures associated to a hypersurface embedded in Euclidean space, the text advances to a brief review of the differential and integraDoveroai:cds.cern.ch:16048322012 |
| spellingShingle | Mathematical Physics and Mathematics Sternberg, Shlomo Curvature in mathematics and physics |
| title | Curvature in mathematics and physics |
| title_full | Curvature in mathematics and physics |
| title_fullStr | Curvature in mathematics and physics |
| title_full_unstemmed | Curvature in mathematics and physics |
| title_short | Curvature in mathematics and physics |
| title_sort | curvature in mathematics and physics |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/1604832 |
| work_keys_str_mv | AT sternbergshlomo curvatureinmathematicsandphysics |