A brief guide to algebraic number theory:
This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material w...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
|
| Schriftenreihe: | London Mathematical Society student texts
50 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included |
| Beschreibung: | 1 Online-Ressource (ix, 146 Seiten) |
| ISBN: | 9781139173360 |
| DOI: | 10.1017/CBO9781139173360 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
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| isbn | 9781139173360 |
| language | English |
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| spelling | Swinnerton-Dyer, Henry P. F. 1927-2018 Verfasser (DE-588)114274185 aut A brief guide to algebraic number theory H.P.F. Swinnerton-Dyer Cambridge Cambridge University Press 2001 1 Online-Ressource (ix, 146 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 50 This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Algebraische Zahlentheorie (DE-588)4001170-7 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-80292-5 Erscheint auch als Druck-Ausgabe 978-0-521-00423-7 https://doi.org/10.1017/CBO9781139173360 Verlag URL des Erstveröffentlichers Volltext 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 |
| spellingShingle | Swinnerton-Dyer, Henry P. F. 1927-2018 A brief guide to algebraic number theory Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4151278-9 |
| title | A brief guide to algebraic number theory |
| title_auth | A brief guide to algebraic number theory |
| title_exact_search | A brief guide to algebraic number theory |
| title_full | A brief guide to algebraic number theory H.P.F. Swinnerton-Dyer |
| title_fullStr | A brief guide to algebraic number theory H.P.F. Swinnerton-Dyer |
| title_full_unstemmed | A brief guide to algebraic number theory H.P.F. Swinnerton-Dyer |
| title_short | A brief guide to algebraic number theory |
| title_sort | a brief guide to algebraic number theory |
| topic | Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Algebraic number theory Algebraische Zahlentheorie Einführung |
| url | https://doi.org/10.1017/CBO9781139173360 |
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