Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1985
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readiness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathematical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as well as specific features of different mathematical approaches, and must have experience with their interconnections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spite of its difficulty and immensely rich interrelations, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the manyfacetted and always new presentations of the material by M. F. |
| Beschreibung: | 1 Online-Ressource (XVI, 451p. 75 illus) |
| ISBN: | 9781468406276 9780387961125 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4684-0627-6 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042421063 | ||
| 003 | DE-604 | ||
| 005 | 20180105 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1985 |||| o||u| ||||||eng d | ||
| 020 | |a 9781468406276 |c Online |9 978-1-4684-0627-6 | ||
| 020 | |a 9780387961125 |c Print |9 978-0-387-96112-5 | ||
| 024 | 7 | |a 10.1007/978-1-4684-0627-6 |2 doi | |
| 035 | |a (OCoLC)863905018 | ||
| 035 | |a (DE-599)BVBBV042421063 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.8 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Booss, B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Topology and Analysis |b The Atiyah-Singer Index Formula and Gauge-Theoretic Physics |c by B. Booss, D. D. Bleecker |
| 264 | 1 | |a New York, NY |b Springer US |c 1985 | |
| 300 | |a 1 Online-Ressource (XVI, 451p. 75 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Universitext |x 0172-5939 | |
| 500 | |a The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readiness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathematical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as well as specific features of different mathematical approaches, and must have experience with their interconnections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spite of its difficulty and immensely rich interrelations, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the manyfacetted and always new presentations of the material by M. F. | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Topology | |
| 650 | 4 | |a Real Functions | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Indextheorem |0 (DE-588)4140055-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Indextheorem |0 (DE-588)4140055-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Bleecker, D. D. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4684-0627-6 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027856480 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153093714083840 |
|---|---|
| any_adam_object | |
| author | Booss, B. |
| author_facet | Booss, B. |
| author_role | aut |
| author_sort | Booss, B. |
| author_variant | b b bb |
| building | Verbundindex |
| bvnumber | BV042421063 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863905018 (DE-599)BVBBV042421063 |
| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-0627-6 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03134nmm a2200469zc 4500</leader><controlfield tag="001">BV042421063</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180105 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1985 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781468406276</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4684-0627-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387961125</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-387-96112-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4684-0627-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863905018</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421063</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.8</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Booss, B.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Topology and Analysis</subfield><subfield code="b">The Atiyah-Singer Index Formula and Gauge-Theoretic Physics</subfield><subfield code="c">by B. Booss, D. D. Bleecker</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer US</subfield><subfield code="c">1985</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVI, 451p. 75 illus)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Universitext</subfield><subfield code="x">0172-5939</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readiness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathematical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as well as specific features of different mathematical approaches, and must have experience with their interconnections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spite of its difficulty and immensely rich interrelations, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the manyfacetted and always new presentations of the material by M. F.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Real Functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Indextheorem</subfield><subfield code="0">(DE-588)4140055-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Indextheorem</subfield><subfield code="0">(DE-588)4140055-0</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">Bleecker, D. D.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4684-0627-6</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856480</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></record></collection> |
| id | DE-604.BV042421063 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468406276 9780387961125 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856480 |
| oclc_num | 863905018 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVI, 451p. 75 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer US |
| record_format | marc |
| series2 | Universitext |
| spelling | Booss, B. Verfasser aut Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics by B. Booss, D. D. Bleecker New York, NY Springer US 1985 1 Online-Ressource (XVI, 451p. 75 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readiness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathematical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as well as specific features of different mathematical approaches, and must have experience with their interconnections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spite of its difficulty and immensely rich interrelations, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the manyfacetted and always new presentations of the material by M. F. Mathematics Topology Real Functions Mathematik Indextheorem (DE-588)4140055-0 gnd rswk-swf Indextheorem (DE-588)4140055-0 s 1\p DE-604 Bleecker, D. D. Sonstige oth https://doi.org/10.1007/978-1-4684-0627-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Booss, B. Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics Mathematics Topology Real Functions Mathematik Indextheorem (DE-588)4140055-0 gnd |
| subject_GND | (DE-588)4140055-0 |
| title | Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics |
| title_auth | Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics |
| title_exact_search | Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics |
| title_full | Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics by B. Booss, D. D. Bleecker |
| title_fullStr | Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics by B. Booss, D. D. Bleecker |
| title_full_unstemmed | Topology and Analysis The Atiyah-Singer Index Formula and Gauge-Theoretic Physics by B. Booss, D. D. Bleecker |
| title_short | Topology and Analysis |
| title_sort | topology and analysis the atiyah singer index formula and gauge theoretic physics |
| title_sub | The Atiyah-Singer Index Formula and Gauge-Theoretic Physics |
| topic | Mathematics Topology Real Functions Mathematik Indextheorem (DE-588)4140055-0 gnd |
| topic_facet | Mathematics Topology Real Functions Mathematik Indextheorem |
| url | https://doi.org/10.1007/978-1-4684-0627-6 |
| work_keys_str_mv | AT boossb topologyandanalysistheatiyahsingerindexformulaandgaugetheoreticphysics AT bleeckerdd topologyandanalysistheatiyahsingerindexformulaandgaugetheoreticphysics |