A brief guide to algebraic number theory /:
Publisher's description: This is an 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; othe...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2001.
|
| Schriftenreihe: | London Mathematical Society student texts ;
50. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Publisher's description: This is an 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 resource (ix, 146 pages) |
| Bibliographie: | Includes bibliographical references (pages 143-144) and index. |
| ISBN: | 9781139173360 1139173367 9781107089549 1107089549 9781107095854 1107095859 |
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| spelling | Swinnerton-Dyer, H. P. F. A brief guide to algebraic number theory / H.P.F. Swinnerton-Dyer. Cambridge ; New York : Cambridge University Press, 2001. 1 online resource (ix, 146 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 50 Includes bibliographical references (pages 143-144) and index. Numbers and ideals -- Valuations -- Special fields -- Analytic methods -- Class field theory. Publisher's description: This is an 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. Print version record. Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Théorie algébrique des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Algebraische Zahlentheorie gnd http://d-nb.info/gnd/4001170-7 Getaltheorie. gtt TEORIA DOS NÚMEROS. larpcal NÚMEROS ALGÉBRICOS. larpcal has work: A brief guide to algebraic number theory (Text) https://id.oclc.org/worldcat/entity/E39PCYDGVm3CPKbgkGJvXGK3HC https://id.oclc.org/worldcat/ontology/hasWork Print version: Swinnerton-Dyer, H.P.F. Brief guide to algebraic number theory. Cambridge ; New York : Cambridge University Press, 2001 0521004233 (DLC) 2001270847 (OCoLC)46448263 London Mathematical Society student texts ; 50. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570391 Volltext |
| spellingShingle | Swinnerton-Dyer, H. P. F. A brief guide to algebraic number theory / London Mathematical Society student texts ; Numbers and ideals -- Valuations -- Special fields -- Analytic methods -- Class field theory. Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Théorie algébrique des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Algebraische Zahlentheorie gnd http://d-nb.info/gnd/4001170-7 Getaltheorie. gtt TEORIA DOS NÚMEROS. larpcal NÚMEROS ALGÉBRICOS. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003436 http://d-nb.info/gnd/4001170-7 |
| 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 | brief guide to algebraic number theory |
| topic | Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Théorie algébrique des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Algebraische Zahlentheorie gnd http://d-nb.info/gnd/4001170-7 Getaltheorie. gtt TEORIA DOS NÚMEROS. larpcal NÚMEROS ALGÉBRICOS. larpcal |
| topic_facet | Algebraic number theory. Théorie algébrique des nombres. MATHEMATICS Number Theory. Algebraic number theory Algebraische Zahlentheorie Getaltheorie. TEORIA DOS NÚMEROS. NÚMEROS ALGÉBRICOS. |
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