Holdings: Topology for physicists

Topology for physicists:

Saved in:

Bibliographic Details
Main Author:	Schwarz, Albert 1934- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1996
Edition:	Corr. 2. printing
Series:	Grundlehren der mathematischen Wissenschaften 308
Subjects:	Topologie Quantenfeldtheorie Physik Algebraische Topologie
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 296 S. graph. Darst.
ISBN:	3540547541

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV010764389
003	DE-604
005	20170928
007	t
008	960513s1996 gw d\|\|\| \|\|\|\| 00\|\|\| eng d
016	7		\|a 946973024 \|2 DE-101
020			\|a 3540547541 \|c : DM 178.00 \|9 3-540-54754-1
035			\|a (OCoLC)263627701
035			\|a (DE-599)BVBBV010764389
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-703 \|a DE-91G \|a DE-1050 \|a DE-384 \|a DE-355 \|a DE-526 \|a DE-11
082	0		\|a 514
084			\|a SK 300 \|0 (DE-625)143230: \|2 rvk
084			\|a MAT 550f \|2 stub
084			\|a PHY 014f \|2 stub
100	1		\|a Schwarz, Albert \|d 1934- \|e Verfasser \|0 (DE-588)123437725 \|4 aut
240	1	0	\|a Kvantovaja teorija polja i topologija
245	1	0	\|a Topology for physicists \|c Albert S. Schwarz
250			\|a Corr. 2. printing
264		1	\|a Berlin [u.a.] \|b Springer \|c 1996
300			\|a XI, 296 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Grundlehren der mathematischen Wissenschaften \|v 308
650	0	7	\|a Topologie \|0 (DE-588)4060425-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Quantenfeldtheorie \|0 (DE-588)4047984-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Physik \|0 (DE-588)4045956-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Algebraische Topologie \|0 (DE-588)4120861-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Quantenfeldtheorie \|0 (DE-588)4047984-5 \|D s
689	0	1	\|a Topologie \|0 (DE-588)4060425-1 \|D s
689	0		\|8 1\p \|5 DE-604
689	1	0	\|a Algebraische Topologie \|0 (DE-588)4120861-4 \|D s
689	1		\|8 2\p \|5 DE-604
689	2	0	\|a Physik \|0 (DE-588)4045956-1 \|D s
689	2		\|8 3\p \|5 DE-604
830		0	\|a Grundlehren der mathematischen Wissenschaften \|v 308 \|w (DE-604)BV000000395 \|9 308
856	4	2	\|m HEBIS Datenaustausch Darmstadt \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007188324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-007188324
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 2\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 3\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Record in the Search Index

_version_	1804125243922448384
adam_text	ALBERT S. SCHWARZ ::; J C OGY FOR PHYSICISTS WITH 54 FIGURES SPRINGER CONTENTS BACKGROUND 1 0.1 METRIC AND TOPOLOGICAL SPACES 1 0.2 GROUPS 4 0.3 , GLUINGS 6 0.4 EQUIVALENCE RELATIONS AND QUOTIENT SPACES 9 0.5 GROUP REPRESENTATIONS 11 0.6 GROUP ACTIONS 13 0.7 QUATERNIONS-* 16 FUNDAMENTAL CONCEPTS 19 1.1 TOPOLOGICAL EQUIVALENCE 19 1.2 TOPOLOGICAL PROPERTIES 21 1.3 HOMOTOPY 23 1.4 SMOOTH MAPS 30 THE DEGREE OF A MAP 33 2.1 MAPS OF EUCLIDEAN SPACE TO ITSELF 33 2.2 MAPS OF THE SPHERE TO ITSELF 37 2.3 THE DEGREE OF A CONTINUOUS MAP 41 2.4 THE BROUWER FIXED-POINT THEOREM 42 THE FUNDAMENTAL GROUP AND COVERING SPACES 45 3.1 THE FUNDAMENTAL GROUP 45 3.2 COVERING SPACES. 49 3.3 DESCRIPTION OF COVERING SPACES-* 53 3.4 MULTIVALUED CORRESPONDENCES- 55 3.5 APPLICATIONS OF THE FUNDAMENTAL GROUP- 56 MANIFOLDS 59 4.1 SMOOTH MANIFOLDS 59 4.2 ORIENTATION 64 4.3 NONSINGULAR SURFACES IN R N 67 4.4 SUBMANIFOLDS AND TUBULAR NEIGHBORHOODS 70 4.5 MANIFOLDS WITH BOUNDARY- 72 4.6 *COMPLEX MANIFOLDS-* 73 4.7 **INFINITE-DIMENSIONAL MANIFOLDS--- 74 X CONTENTS 5 DIFFERENTIAL FORMS AND HOMOLOGY IN EUCLIDEAN SPACE . 77 5.1 DIFFERENTIAL FORMS 77 5.2 HOMOLOGY AND COHOMOLOGY IN EUCLIDEAN SPACE 87 5.3 HOMOLOGY AND HOMOTOPY 94 5.4 ELECTROMAGNETIC FIELDS AND MAGNETIC CHARGES- 98 6 HOMOLOGY AND COHOMOLOGY 101 6.1 HOMOLOGY OF ARBITRARY SPACES 101 6.2 HOMOLOGY AND COHOMOLOGY OF CELL COMPLEXES 103 6.3 DIFFERENTIAL FORMS AND HOMOLOGY OF SMOOTH MANIFOLDS 117 6.4 EULER CHARACTERISTIC 125 6.5 GENERAL DEFINITION OF HOMOLOGY AND COHOMOLOGY GROUPS- . 127 6.6 RELATIVE HOMOLOGY AND COHOMOLOGY 130 6.7 CROSS PRODUCTS. CUP AND CAP PRODUCTS 139 6.8 THE LINKING NUMBER : 143 6.9 RIEMANNIAN MANIFOLDS AND HARMONIC FORMS 145 6.10 ESTIMATION OF THE NUMBER OF CRITICAL POINTS 149 7 HOMOTOPY CLASSIFICATION OF MAPS OF THE SPHERE 159 7.1 HOMOTOPY GROUPS OF SIMPLY CONNECTED SPACES 159 7.2 MAPS FROM THE SPHERE INTO NON-SIMPLY-CONNECTED SPACES . . . 161 7.3 MAPS OF SUBSETS OF R N . 163 7.4 HOMOTOPY GROUPS OF SPHERES 164 8 HOMOTOPY GROUPS 167 8.1 THE GROUPS -K K {E,E 0 ) 167 8.2 RELATION BETWEEN IR K (E,E 0 ) AND {S K , E). THE HUREWICZ MAP* . 170 9 FIBERED SPACES 173 9.1 FIBRATIONS: DEFINITION AND BASIC PROPERTIES 173 9.2. LOCAL TRIVIALITY AND SECTIONS 175 9.3 FIBRATIONS ARISING FROM GROUP ACTIONS 177 9.4 VECTOR FIBRATIONS AND G-FIBRATIONS 181 10 FIBRATIONS AND HOMOTOPY GROUPS 185 10.1 RELATIONSHIPS BETWEEN THE HOMOTOPY GROUPS OF A FIBRATION . . 185 10.2 EXAMPLES AND APPLICATIONS 187 11 HOMOTOPY THEORY OF FIBRATIONS 191 11.1 THE HOMOTOPY LIFTING PROPERTY 191 11.2 THE EXACT HOMOTOPY SEQUENCE 193 11.3 RELATIVE HOMOTOPY GROUPS 196 11:4 CONSTRUCTION OF SECTIONS. OBSTRUCTIONS 199 CONTENTS XI 12 LIE GROUPS 209 12.1 BASIC DEFINITIONS 209 12.2 ONE-PARAMETER SUBGROUPS 211 12.3 INVARIANT TENSOR FIELDS 212 13 LIE ALGEBRAS 217 13.1 BASIC DEFINITIONS 217 13.2 THE LIE ALGEBRA OF A LIE GROUP 218 13.3 REDUCING PROBLEMS ABOUT LIE GROUPS TO PROBLEMS ABOUT LIE ALGEBRAS 223 13.4 THE ADJOINT REPRESENTATION 226 13.5 COMPACT LIE GROUPS 228 14 TOPOLOGY OF LIE GROUPS AND HOMOGENEOUS MANIFOLDS 233 14.1 HOMOTOPY GROUPS OF LIE GROUPS AND HOMOGENEOUS MANIFOLDS . 233 14.2 HOMOLOGY OF LIE GROUPS AND HOMOGENEOUS MANIFOLDS 236 15 GEOMETRY OF GAUGE FIELDS 243 15.1 GAUGE FIELDS AND CONNECTIONS IN R 243 15.2 COVARIANT DIFFERENTIATION OF DIFFERENTIAL FORMS 247 15.3 GAUGE FIELDS ON MANIFOLDS 251 15.4 CHARACTERISTIC CLASSES OF GAUGE FIELDS 254 15.5 GEOMETRY OF GAUGE FIELDS ON MANIFOLDS 263 15.6 CHARACTERISTIC CLASSES OF PRINCIPAL FIBRATIONS 266 15.7 A GENERAL CONSTRUCTION FOR CHARACTERISTIC CLASSES 268 15.8 G-STRUCTURES AND CHARACTERISTIC CLASSES 270 15.9 THE SPACE OF GAUGE FIELDS. GRIBOV AMBIGUITY . . . . 274 BIBLIOGRAPHY 287 INDEX 289 INDEX OF NOTATION 295
any_adam_object	1
author	Schwarz, Albert 1934-
author_GND	(DE-588)123437725
author_facet	Schwarz, Albert 1934-
author_role	aut
author_sort	Schwarz, Albert 1934-
author_variant	a s as
building	Verbundindex
bvnumber	BV010764389
classification_rvk	SK 300
classification_tum	MAT 550f PHY 014f
ctrlnum	(OCoLC)263627701 (DE-599)BVBBV010764389
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	Physik Mathematik
edition	Corr. 2. printing
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02285nam a2200553 cb4500</leader><controlfield tag="001">BV010764389</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170928 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960513s1996 gw d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">946973024</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540547541</subfield><subfield code="c">: DM 178.00</subfield><subfield code="9">3-540-54754-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)263627701</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010764389</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-526</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 550f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 014f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schwarz, Albert</subfield><subfield code="d">1934-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123437725</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Kvantovaja teorija polja i topologija</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Topology for physicists</subfield><subfield code="c">Albert S. Schwarz</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Corr. 2. printing</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 296 S.</subfield><subfield code="b">graph. Darst.</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="1" ind2=" "><subfield code="a">Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">308</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">Quantenfeldtheorie</subfield><subfield code="0">(DE-588)4047984-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Physik</subfield><subfield code="0">(DE-588)4045956-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantenfeldtheorie</subfield><subfield code="0">(DE-588)4047984-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Physik</subfield><subfield code="0">(DE-588)4045956-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">308</subfield><subfield code="w">(DE-604)BV000000395</subfield><subfield code="9">308</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</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=007188324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007188324</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="883" ind1="1" ind2=" "><subfield code="8">2\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="883" ind1="1" ind2=" "><subfield code="8">3\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></record></collection>
id	DE-604.BV010764389
illustrated	Illustrated
indexdate	2024-07-09T17:58:28Z
institution	BVB
isbn	3540547541
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007188324
oclc_num	263627701
open_access_boolean
owner	DE-703 DE-91G DE-BY-TUM DE-1050 DE-384 DE-355 DE-BY-UBR DE-526 DE-11
owner_facet	DE-703 DE-91G DE-BY-TUM DE-1050 DE-384 DE-355 DE-BY-UBR DE-526 DE-11
physical	XI, 296 S. graph. Darst.
publishDate	1996
publishDateSearch	1996
publishDateSort	1996
publisher	Springer
record_format	marc
series	Grundlehren der mathematischen Wissenschaften
series2	Grundlehren der mathematischen Wissenschaften
spelling	Schwarz, Albert 1934- Verfasser (DE-588)123437725 aut Kvantovaja teorija polja i topologija Topology for physicists Albert S. Schwarz Corr. 2. printing Berlin [u.a.] Springer 1996 XI, 296 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Grundlehren der mathematischen Wissenschaften 308 Topologie (DE-588)4060425-1 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Topologie (DE-588)4060425-1 s 1\p DE-604 Algebraische Topologie (DE-588)4120861-4 s 2\p DE-604 Physik (DE-588)4045956-1 s 3\p DE-604 Grundlehren der mathematischen Wissenschaften 308 (DE-604)BV000000395 308 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007188324&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Schwarz, Albert 1934- Topology for physicists Grundlehren der mathematischen Wissenschaften Topologie (DE-588)4060425-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Physik (DE-588)4045956-1 gnd Algebraische Topologie (DE-588)4120861-4 gnd
subject_GND	(DE-588)4060425-1 (DE-588)4047984-5 (DE-588)4045956-1 (DE-588)4120861-4
title	Topology for physicists
title_alt	Kvantovaja teorija polja i topologija
title_auth	Topology for physicists
title_exact_search	Topology for physicists
title_full	Topology for physicists Albert S. Schwarz
title_fullStr	Topology for physicists Albert S. Schwarz
title_full_unstemmed	Topology for physicists Albert S. Schwarz
title_short	Topology for physicists
title_sort	topology for physicists
topic	Topologie (DE-588)4060425-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Physik (DE-588)4045956-1 gnd Algebraische Topologie (DE-588)4120861-4 gnd
topic_facet	Topologie Quantenfeldtheorie Physik Algebraische Topologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007188324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000395
work_keys_str_mv	AT schwarzalbert kvantovajateorijapoljaitopologija AT schwarzalbert topologyforphysicists

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items