Differential geometry: manifolds, curves and surfaces
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1988
|
| Series: | Graduate Texts in Mathematics
115 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics. Geometrie Differentielle was based on a course I taught in Paris in 1969- 70 and again in 1970-71. In designing this course I was decisively influenced by a conversation with Serge Lang, and I let myself be guided by three general ideas. First, to avoid making the statement and proof of Stokes' formula the climax of the course and running out of time before any of its applications could be discussed. Second, to illustrate each new notion with non-trivial examples, as soon as possible after its introduction. And finally, to familiarize geometry-oriented students with analysis and analysis-oriented students with geometry, at least in what concerns manifolds |
| Physical Description: | 1 Online-Ressource (XII, 476 p) |
| ISBN: | 9781461210337 9781461269922 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-1033-7 |
Staff View
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Record in the Search Index
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| ctrlnum | (OCoLC)863757099 (DE-599)BVBBV042419718 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1033-7 |
| format | Electronic eBook |
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| id | DE-604.BV042419718 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461210337 9781461269922 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855135 |
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| physical | 1 Online-Ressource (XII, 476 p) |
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| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer New York |
| record_format | marc |
| series | Graduate Texts in Mathematics |
| series2 | Graduate Texts in Mathematics |
| spelling | Berger, Marcel 1927-2016 Verfasser (DE-588)12047672X aut Differential geometry manifolds, curves and surfaces by Marcel Berger, Bernard Gostiaux New York, NY Springer New York 1988 1 Online-Ressource (XII, 476 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 115 0072-5285 This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics. Geometrie Differentielle was based on a course I taught in Paris in 1969- 70 and again in 1970-71. In designing this course I was decisively influenced by a conversation with Serge Lang, and I let myself be guided by three general ideas. First, to avoid making the statement and proof of Stokes' formula the climax of the course and running out of time before any of its applications could be discussed. Second, to illustrate each new notion with non-trivial examples, as soon as possible after its introduction. And finally, to familiarize geometry-oriented students with analysis and analysis-oriented students with geometry, at least in what concerns manifolds Mathematics Global differential geometry Differential Geometry Mathematik Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s 1\p DE-604 Gostiaux, Bernard Sonstige oth Graduate Texts in Mathematics 115 (DE-604)BV035421258 115 https://doi.org/10.1007/978-1-4612-1033-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Berger, Marcel 1927-2016 Differential geometry manifolds, curves and surfaces Graduate Texts in Mathematics Mathematics Global differential geometry Differential Geometry Mathematik Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4012248-7 |
| title | Differential geometry manifolds, curves and surfaces |
| title_auth | Differential geometry manifolds, curves and surfaces |
| title_exact_search | Differential geometry manifolds, curves and surfaces |
| title_full | Differential geometry manifolds, curves and surfaces by Marcel Berger, Bernard Gostiaux |
| title_fullStr | Differential geometry manifolds, curves and surfaces by Marcel Berger, Bernard Gostiaux |
| title_full_unstemmed | Differential geometry manifolds, curves and surfaces by Marcel Berger, Bernard Gostiaux |
| title_short | Differential geometry |
| title_sort | differential geometry manifolds curves and surfaces |
| title_sub | manifolds, curves and surfaces |
| topic | Mathematics Global differential geometry Differential Geometry Mathematik Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Mathematics Global differential geometry Differential Geometry Mathematik Differentialgeometrie |
| url | https://doi.org/10.1007/978-1-4612-1033-7 |
| volume_link | (DE-604)BV035421258 |
| work_keys_str_mv | AT bergermarcel differentialgeometrymanifoldscurvesandsurfaces AT gostiauxbernard differentialgeometrymanifoldscurvesandsurfaces |