A user's guide to spectral sequences:
Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic fo...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2001
|
| Edition: | Second edition |
| Series: | Cambridge studies in advanced mathematics
58 |
| Subjects: | |
| Online Access: | DE-12 DE-92 DE-355 Volltext |
| Summary: | Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 Online-Ressource (xv, 561 Seiten) |
| ISBN: | 9780511626289 |
| DOI: | 10.1017/CBO9780511626289 |
Staff View
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| id | DE-604.BV043940653 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-13T11:11:32Z |
| institution | BVB |
| isbn | 9780511626289 |
| language | English |
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| publishDate | 2001 |
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| spelling | McCleary, John 1952- Verfasser (DE-588)113779089 aut A user's guide to spectral sequences John McCleary Second edition Cambridge Cambridge University Press 2001 1 Online-Ressource (xv, 561 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 58 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra Lévinas, Emmanuel 1906-1995 (DE-588)118572350 gnd rswk-swf Strauss, Leo 1899-1973 (DE-588)118833901 gnd rswk-swf Spectral sequences (Mathematics) Politische Philosophie (DE-588)4076226-9 gnd rswk-swf Spektralsequenz (DE-588)4182172-5 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Spektralsequenz (DE-588)4182172-5 s DE-604 Strauss, Leo 1899-1973 (DE-588)118833901 p Politische Philosophie (DE-588)4076226-9 s Lévinas, Emmanuel 1906-1995 (DE-588)118572350 p Erscheint auch als Druck-Ausgabe 978-0-521-56141-9 Erscheint auch als Druck-Ausgabe 978-0-521-56759-6 Cambridge studies in advanced mathematics 58 (DE-604)BV044781283 58 https://doi.org/10.1017/CBO9780511626289 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | McCleary, John 1952- A user's guide to spectral sequences Cambridge studies in advanced mathematics Lévinas, Emmanuel 1906-1995 (DE-588)118572350 gnd Strauss, Leo 1899-1973 (DE-588)118833901 gnd Spectral sequences (Mathematics) Politische Philosophie (DE-588)4076226-9 gnd Spektralsequenz (DE-588)4182172-5 gnd |
| subject_GND | (DE-588)118572350 (DE-588)118833901 (DE-588)4076226-9 (DE-588)4182172-5 (DE-588)4113937-9 |
| title | A user's guide to spectral sequences |
| title_auth | A user's guide to spectral sequences |
| title_exact_search | A user's guide to spectral sequences |
| title_full | A user's guide to spectral sequences John McCleary |
| title_fullStr | A user's guide to spectral sequences John McCleary |
| title_full_unstemmed | A user's guide to spectral sequences John McCleary |
| title_short | A user's guide to spectral sequences |
| title_sort | a user s guide to spectral sequences |
| topic | Lévinas, Emmanuel 1906-1995 (DE-588)118572350 gnd Strauss, Leo 1899-1973 (DE-588)118833901 gnd Spectral sequences (Mathematics) Politische Philosophie (DE-588)4076226-9 gnd Spektralsequenz (DE-588)4182172-5 gnd |
| topic_facet | Lévinas, Emmanuel 1906-1995 Strauss, Leo 1899-1973 Spectral sequences (Mathematics) Politische Philosophie Spektralsequenz Hochschulschrift |
| url | https://doi.org/10.1017/CBO9780511626289 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT mcclearyjohn ausersguidetospectralsequences |