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Einführung in die Geometrie und Topologie:

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Bibliographic Details
Main Author:	Ballmann, Werner 1951- (Author)
Format:	Book
Language:	German
Published:	Cham Birkhäuser [2018]
Edition:	2. Auflage
Series:	Mathematik Kompakt
Subjects:	Differentialgeometrie Topologie Lehrbuch
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=248a831b199644bcb95e3e8f818dc042&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030487132&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XII, 163 Seiten Illustrationen, Diagramme
ISBN:	9783034809856 3034809859

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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 R AE U M E ................................................................................... 1 1.2 STETIGE ABBILDUNGEN ................................................................................... 5 1.3 KONVERGENZ UND HAUSDORFFSCHE R AE U M E ....................................................... 6 1.4 NEUES AUS A LTEM ............................................................................................ 7 1.5 ZUSAMMENHANG UND WEGZUSAMMENHANG ................................................... 9 1.6 KOMPAKTE R AE U M E ......................................................................................... 14 1.7 DER JORDANSCHE KURVENSATZ......................................................................... 18 1.8 ERGAENZENDE L ITE RA TU R ................................................................................... 22 1.9 A U FG A B EN ...................................................................................................... 22 2 M ANNIGFALTIGKEITEN.............................................................................................. 25 2.1 MANNIGFALTIGKEITEN UND GLATTE A BBILDUNGEN.............................................. 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 L ITE RA TU R ................................................................................... 60 2.7 A U FG A B E N ...................................................................................................... 60 3 DIFFERENTIALFORMEN UND K OHOM OLOGIE......................................................... 65 3.1 PFAFFSCHE F ORM EN......................................................................................... 65 3.2 DIFFERENTIALFORMEN......................................................................................... 68 3.3 DE RHAM*SCHE K OHOM OLOGIE...................................................................... 72 3.4 DAS POINCARE-LEMMA ................................................................................... 74 3.5 MAYER-VIETORIS-SEQUENZ UND FIXPUNKTSATZ VON B RO U W E R ........................ 78 3.6 ORIENTIERUNGEN UND SATZ VON JORDAN-BROUWER ........................................... 82 3.7 ORIENTIERTES INTEGRAL UND INTEGRALFORMEL VON S TO K E S ................................ 86 3.8 ERGAENZENDE L ITE RA TU R.................................................................................... 92 3.9 A U FG A B E N ...................................................................................................... 92 4 GEOMETRIE VON UNTERMANNIGFALTIGKEITEN......................................................... 97 4.1 K URVEN............................................................................................................ 98 4.2 INNERE GEOMETRIE ............................................................................................ 110 4.3 AEUSSERE G EOM ETRIE............................................................................................ 126 4.4 GAUSS-GLEICHUNGEN UND THEOREMA EGREGIUM .................................................136 4.5 ERGAENZENDE L ITE RA TU R.......................................................................................143 4.6 A U FG A B E N ..........................................................................................................143 A ALTERNIERENDE MULTILINEARFORMEN...............................................................................147 B KOKETTENKOMPLEXE..........................................................................................................153 L ITE R A TU R .............................................................................................................................157 SACHVERZEICHNIS..................................................................................................................159
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physical	XII, 163 Seiten Illustrationen, Diagramme
publishDate	2018
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publisher	Birkhäuser
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series2	Mathematik Kompakt
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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