Verfügbarkeit: Introduction to geometry and topology

Introduction to geometry and topology:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Ballmann, Werner 1951- (VerfasserIn)
Weitere beteiligte Personen:	Stern, Walker (ÜbersetzerIn)
Format:	Buch
Sprache:	Englisch Deutsch
Veröffentlicht:	Cham, Switzerland Birkhäuser [2018]
Schriftenreihe:	Compact textbooks in mathematics
Schlagwörter:	Topologie Differentialgeometrie Lehrbuch
Links:	http://d-nb.info/1155253701/04 http://deposit.dnb.de/cgi-bin/dokserv?id=5c3710ef64f2448099ac137d6e5fb590&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030592570&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	x, 169 Seiten Illustrationen 24 cm, 284 g
ISBN:	9783034809825

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV045203649
003	DE-604
005	20190611
007	t\|
008	180921s2018 xx a\|\|\| \|\|\|\| 00\|\|\| eng d
015			\|a 18,N14 \|2 dnb
015			\|a 18,A35 \|2 dnb
016	7		\|a 1155253701 \|2 DE-101
020			\|a 9783034809825 \|c Broschur : circa EUR 37.44 (DE) (freier Preis), circa EUR 38.49 (AT) (freier Preis), circa CHF 38.50 (freier Preis) \|9 978-3-0348-0982-5
035			\|a (OCoLC)1050685937
035			\|a (DE-599)DNB1155253701
040			\|a DE-604 \|b ger \|e rda
041	1		\|a eng \|h ger
049			\|a DE-188 \|a DE-355 \|a DE-11 \|a DE-83
082	0		\|a 514 \|2 23/ger
084			\|a SK 280 \|0 (DE-625)143228: \|2 rvk
084			\|a SK 350 \|0 (DE-625)143233: \|2 rvk
084			\|a 57-01 \|2 msc
084			\|a 55-01 \|2 msc
084			\|a 510 \|2 sdnb
084			\|a 58-01 \|2 msc
100	1		\|a Ballmann, Werner \|d 1951- \|e Verfasser \|0 (DE-588)143941178 \|4 aut
240	1	0	\|a Einführung in die Geometrie und Topologie
245	1	0	\|a Introduction to geometry and topology \|c Werner Ballmann
264		1	\|a Cham, Switzerland \|b Birkhäuser \|c [2018]
264		4	\|c © 2018
300			\|a x, 169 Seiten \|b Illustrationen \|c 24 cm, 284 g
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Compact textbooks in mathematics
650	0	7	\|a Topologie \|0 (DE-588)4060425-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Differentialgeometrie \|0 (DE-588)4012248-7 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4123623-3 \|a Lehrbuch \|2 gnd-content
689	0	0	\|a Topologie \|0 (DE-588)4060425-1 \|D s
689	0	1	\|a Differentialgeometrie \|0 (DE-588)4012248-7 \|D s
689	0		\|8 1\p \|5 DE-604
700	1		\|a Stern, Walker \|4 trl
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|a Ballmann, Werner, 1951- \|t Introduction to Geometry and Topology \|d Basel : Springer Basel, 2018 \|z 978-3-0348-0983-2
856	4	2	\|m B:DE-101 \|q application/pdf \|u http://d-nb.info/1155253701/04 \|3 Inhaltsverzeichnis
856	4	2	\|m X:MVB \|q text/html \|u http://deposit.dnb.de/cgi-bin/dokserv?id=5c3710ef64f2448099ac137d6e5fb590&prov=M&dok_var=1&dok_ext=htm \|3 Inhaltstext
856	4	2	\|m DNB Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030592570&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-030592570

Datensatz im Suchindex

_version_	1819335442602917888
adam_text	CONTENTS 1 FIRST STEPS IN T O P O LO G Y ......................................................................... 1 WERNER BALLMANN 1.1 TOPOLOGICAL SPACES...................................................................................... 1 1.2 CONTINUOUS MAPS......................................................................................... 5 1.3 CONVERGENCE AND HAUSDORFF SPACES ....................................................... 7 1.4 NEW FROM OLD .............................................................................................. 8 1.5 CONNECTEDNESS AND PATH-CONNECTEDNESS ............................................. 10 1.6 COMPACT SPACES............................................................................................ 14 1.7 THE JORDAN CURVE THEOREM ........................................................................ 18 1.8 SUPPLEMENTARY LITERATURE.......................................................................... 22 1.9 EXERCISES ....................................................................................................... 22 2 M A N IFO LD S .................................................................................................... 27 WERNER BALLMANN 2.1 MANIFOLDS AND SMOOTH M A P S .................................................................... 27 2.2 TANGENT VECTORS AND DERIVATIVES ............................................................ 40 2.3 SUBMANIFOLDS .............................................................................................. 49 2.4 TANGENT BUNDLES AND VECTOR FIELDS......................................................... 54 2.5 VECTOR BUNDLES AND SECTIONS.................................................................... 59 2.6 SUPPLEMENTARY LITERATURE......................................................................... 63 2.7 EXERCISES ....................................................................................................... 63 3 D IFFE REN TIA L FORMS AND C O H O M O LO G Y .............................................. 69 WERNER BALLMANN 3.1 PFAFFIAN FORMS.............................................................................................. 69 3.2 DIFFERENTIAL FORM S....................................................................................... 72 3.3 DE RHAM COHOMOLOGY................................................................................ 76 3.4 THE POINCARE LEM M A.................................................................................. 78 3.5 THE MAYER-VIETORIS SEQUENCE AND THE BROUWER FIXED-POINT THEOREM......................................................................................................... 82 3.6 ORIENTATIONS AND THE JORDAN-BROUWER THEOREM .................................. 86 3.7 THE ORIENTED INTEGRAL AND STOKES S INTEGRAL FORMULA........................... 91 3.8 SUPPLEMENTARY LITERATURE......................................................................... 97 3.9 EXERCISES ....................................................................................................... 97 4 THE G EO M E TRY O F S U B M A N IFO LD S ......................................................... 103 WERNER BALLMANN 4.1 CURVES............................................................................................................. 104 4.2 INTERIOR G EOM ETRY....................................................................................... 115 4.3 EXTERIOR GEOMETRY....................................................................................... 130 4.4 GAUSS EQUATIONS AND THE THEOREMA EGREGIUM ..................................... 141 4.5 SUPPLEMENTARY L ITERATURE ......................................................................... 147 4.6 EXERCISES.......................................................................................................... 148 A ALTERNATING MULTILINEAR FORMS............................................................................. 153 WERNER BALLMANN B COCHAIN COMPLEXES .............................................................................................. 159 WERNER BALLMANN BIBLIOGRAPHY.......................................................................................................... 163 INDEX........................................................................................................................ 165
any_adam_object	1
author	Ballmann, Werner 1951-
author2	Stern, Walker
author2_role	trl
author2_variant	w s ws
author_GND	(DE-588)143941178
author_facet	Ballmann, Werner 1951- Stern, Walker
author_role	aut
author_sort	Ballmann, Werner 1951-
author_variant	w b wb
building	Verbundindex
bvnumber	BV045203649
classification_rvk	SK 280 SK 350
ctrlnum	(OCoLC)1050685937 (DE-599)DNB1155253701
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
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02460nam a2200553 c 4500</leader><controlfield tag="001">BV045203649</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190611 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">180921s2018 xx a\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">18,N14</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">18,A35</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1155253701</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034809825</subfield><subfield code="c">Broschur : circa EUR 37.44 (DE) (freier Preis), circa EUR 38.49 (AT) (freier Preis), circa CHF 38.50 (freier Preis)</subfield><subfield code="9">978-3-0348-0982-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1050685937</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1155253701</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">ger</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-188</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514</subfield><subfield code="2">23/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 280</subfield><subfield code="0">(DE-625)143228:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">55-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">58-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ballmann, Werner</subfield><subfield code="d">1951-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)143941178</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Einführung in die Geometrie und Topologie</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to geometry and topology</subfield><subfield code="c">Werner Ballmann</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham, Switzerland</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 169 Seiten</subfield><subfield code="b">Illustrationen</subfield><subfield code="c">24 cm, 284 g</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Compact textbooks in mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stern, Walker</subfield><subfield code="4">trl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="a">Ballmann, Werner, 1951-</subfield><subfield code="t">Introduction to Geometry and Topology</subfield><subfield code="d">Basel : Springer Basel, 2018</subfield><subfield code="z">978-3-0348-0983-2</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">B:DE-101</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://d-nb.info/1155253701/04</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=5c3710ef64f2448099ac137d6e5fb590&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030592570&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030592570</subfield></datafield></record></collection>
genre	(DE-588)4123623-3 Lehrbuch gnd-content
genre_facet	Lehrbuch
id	DE-604.BV045203649
illustrated	Illustrated
indexdate	2024-12-20T18:20:42Z
institution	BVB
isbn	9783034809825
language	English German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-030592570
oclc_num	1050685937
open_access_boolean
owner	DE-188 DE-355 DE-BY-UBR DE-11 DE-83
owner_facet	DE-188 DE-355 DE-BY-UBR DE-11 DE-83
physical	x, 169 Seiten Illustrationen 24 cm, 284 g
publishDate	2018
publishDateSearch	2018
publishDateSort	2018
publisher	Birkhäuser
record_format	marc
series2	Compact textbooks in mathematics
spellingShingle	Ballmann, Werner 1951- Introduction to geometry and topology Topologie (DE-588)4060425-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd
subject_GND	(DE-588)4060425-1 (DE-588)4012248-7 (DE-588)4123623-3
title	Introduction to geometry and topology
title_alt	Einführung in die Geometrie und Topologie
title_auth	Introduction to geometry and topology
title_exact_search	Introduction to geometry and topology
title_full	Introduction to geometry and topology Werner Ballmann
title_fullStr	Introduction to geometry and topology Werner Ballmann
title_full_unstemmed	Introduction to geometry and topology Werner Ballmann
title_short	Introduction to geometry and topology
title_sort	introduction to geometry and topology
topic	Topologie (DE-588)4060425-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd
topic_facet	Topologie Differentialgeometrie Lehrbuch
url	http://d-nb.info/1155253701/04 http://deposit.dnb.de/cgi-bin/dokserv?id=5c3710ef64f2448099ac137d6e5fb590&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030592570&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT ballmannwerner einfuhrungindiegeometrieundtopologie AT sternwalker einfuhrungindiegeometrieundtopologie AT ballmannwerner introductiontogeometryandtopology AT sternwalker introductiontogeometryandtopology

Verfügbarkeit

‌

Per Fernleihe bestellen Inhaltsverzeichnis