Einführung in die Geometrie und Topologie:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Basel [u.a.]
Birkhäuser
2015
|
| Series: | Mathematik Kompakt
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | X, 162 S. graph. Darst. |
| ISBN: | 9783034809009 |
Staff View
MARC
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Record in the Search Index
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| adam_text |
INHALTSVERZEICHNIS
1 ERSTE SCHRITTE IN DIE TOPOLOGIE 1
1.1 TOPOLOGISCHE RAEUME 1
1.2 STETIGE ABBILDUNGEN 5
1.3 KONVERGENZ UND HAUSDORFFSCHE RAEUME 6
1.4 NEUES AUS ALTEM 7
1.5 ZUSAMMENHANG UND WEGZUSAMMENHANG 9
1.6 KOMPAKTE RAEUME 14
1.7 DER JORDAN'SCHE KURVENSATZ 18
1.8 ERGAENZENDE LITERATUR 22
1.9 AUFGABEN 22
2 MANNIGFALTIGKEITEN 25
2.1 MANNIGFALTIGKEITEN UND GLATTE ABBILDUNGEN 25
2.2 TANGENTIALVEKTOREN UND ABLEITUNGEN 38
2.3 UNTERMANNIGFALTIGKEITEN 47
2.4 TANGENTIALBUENDEL UND VEKTORFELDER 52
2.5 VEKTORBUENDEL UND SCHNITTE 56
2.6 ERGAENZENDE LITERATUR 59
2.7 AUFGABEN 59
3 DIFFERENTIALFORMEN UND KOHOMOLOGIE 65
3.1 PFAFF 'SEHE FORMEN 65
3.2 DIFFERENTIALFORMEN 68
3.3 DE RHAM'SCHE KOHOMOLOGIE 72
3.4 DAS POINCARE-LEMMA 74
3.5 MAYER-VIETORIS-SEQUENZ UND FIXPUNKTSATZ VON BROUWER 78
3.6 ORIENTIERUNGEN UND SATZ VON JORDAN-BROUWER 81
3.7 ORIENTIERTES INTEGRAL UND INTEGRALFORMEL VON STOKES 85
3.8 ERGAENZENDE LITERATUR 91
3.9 AUFGABEN 91
IX
HTTP://D-NB.INFO/106871865X
X INHALTSVERZEICHNIS
4 GEOMETRIE VON UNTERMANNIGFALTIGKEITEN 95
4.1 KURVEN 96
4.2 INNERE GEOMETRIE 108
4.3 AEUSSERE GEOMETRIE 123
4.4 GAUSS-GLEICHUNGEN UND THEOREMA EGREGIUM 133
4.5 ERGAENZENDE LITERATUR 139
4.6 AUFGABEN 140
A ALTERNIERENDE MULTILINEARFORMEN 145
B KOKETTENKOMPLEXE 151
LITERATUR 155
SACHVERZEICHNIS 157 |
| any_adam_object | 1 |
| author | Ballmann, Werner 1951- |
| author_facet | Ballmann, Werner 1951- |
| author_role | aut |
| author_sort | Ballmann, Werner 1951- |
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| building | Verbundindex |
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| dewey-full | 510 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514 |
| dewey-search | 510 514 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| isbn | 9783034809009 |
| language | German |
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| physical | X, 162 S. graph. Darst. |
| publishDate | 2015 |
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| series2 | Mathematik Kompakt |
| spelling | Ballmann, Werner 1951- Verfasser aut Einführung in die Geometrie und Topologie Werner Ballmann Basel [u.a.] Birkhäuser 2015 X, 162 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Kompakt Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Upper undergraduate Fläche Kurve Kohomologie Mannigfaltigkeit (DE-588)4123623-3 Lehrbuch gnd-content Topologie (DE-588)4060425-1 s Differentialgeometrie (DE-588)4012248-7 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-3-0348-0901-6 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=5181447&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027907267&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ballmann, Werner 1951- Einführung in die Geometrie und Topologie Differentialgeometrie (DE-588)4012248-7 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4060425-1 (DE-588)4123623-3 |
| title | Einführung in die Geometrie und Topologie |
| title_auth | Einführung in die Geometrie und Topologie |
| title_exact_search | Einführung in die Geometrie und Topologie |
| title_full | Einführung in die Geometrie und Topologie Werner Ballmann |
| title_fullStr | Einführung in die Geometrie und Topologie Werner Ballmann |
| title_full_unstemmed | Einführung in die Geometrie und Topologie Werner Ballmann |
| title_short | Einführung in die Geometrie und Topologie |
| title_sort | einfuhrung in die geometrie und topologie |
| topic | Differentialgeometrie (DE-588)4012248-7 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Differentialgeometrie Topologie Lehrbuch |
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