Characteristic classes:
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume,...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
1974
|
| Schriftenreihe: | Annals of Mathematics Studies
number 76 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400881826 |
| DOI: | 10.1515/9781400881826 |
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| 490 | 1 | |a Annals of Mathematics Studies |v number 76 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) | ||
| 520 | |a The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected | ||
| 546 | |a In English | ||
| 650 | 4 | |a Characteristic classes | |
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Datensatz im Suchindex
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| author | Milnor, John Willard 1931- Stasheff, James D. 1936- |
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| author_sort | Milnor, John Willard 1931- |
| author_variant | j w m jw jwm j d s jd jds |
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| classification_rvk | SI 830 SK 350 |
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| dewey-full | 514/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.7 |
| dewey-search | 514/.7 |
| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881826 |
| format | Electronic eBook |
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| id | DE-604.BV043712442 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881826 |
| language | English |
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| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1974 |
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| publisher | Princeton University Press |
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| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Milnor, John Willard 1931- (DE-588)119533073 aut Characteristic classes James D. Stasheff, John Milnor Princeton, NJ Princeton University Press 1974 © 1974 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 76 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected In English Characteristic classes Charakteristische Klasse (DE-588)4194231-0 gnd rswk-swf Charakteristische Klasse (DE-588)4194231-0 s 1\p DE-604 Stasheff, James D. 1936- (DE-588)1089790864 aut Erscheint auch als Druck-Ausgabe 978-0-691-08122-9 Annals of Mathematics Studies number 76 (DE-604)BV040389493 76 https://doi.org/10.1515/9781400881826?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Milnor, John Willard 1931- Stasheff, James D. 1936- Characteristic classes Annals of Mathematics Studies Characteristic classes Charakteristische Klasse (DE-588)4194231-0 gnd |
| subject_GND | (DE-588)4194231-0 |
| title | Characteristic classes |
| title_auth | Characteristic classes |
| title_exact_search | Characteristic classes |
| title_full | Characteristic classes James D. Stasheff, John Milnor |
| title_fullStr | Characteristic classes James D. Stasheff, John Milnor |
| title_full_unstemmed | Characteristic classes James D. Stasheff, John Milnor |
| title_short | Characteristic classes |
| title_sort | characteristic classes |
| topic | Characteristic classes Charakteristische Klasse (DE-588)4194231-0 gnd |
| topic_facet | Characteristic classes Charakteristische Klasse |
| url | https://doi.org/10.1515/9781400881826?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT milnorjohnwillard characteristicclasses AT stasheffjamesd characteristicclasses |