Introductory algebraic number theory /:
An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics. It includes numerous examples, and references to further reading and to biographies of mathematicians who have contributed to the development of the subject. Includes over 320 exercis...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2004.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics. It includes numerous examples, and references to further reading and to biographies of mathematicians who have contributed to the development of the subject. Includes over 320 exercises, and an extensive index. |
| Beschreibung: | 1 online resource (xvii, 428 pages) |
| Bibliographie: | Includes bibliographical references (pages 423-424) and index. |
| ISBN: | 0511166095 9780511166099 9780511164149 0511164149 9780521832502 0521832500 9780521540117 0521540119 9780511791260 0511791267 9780511164941 0511164947 1107148855 9781107148857 0511566808 9780511566806 |
Internformat
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| 504 | |a Includes bibliographical references (pages 423-424) and index. | ||
| 505 | 0 | |a Integral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics. It includes numerous examples, and references to further reading and to biographies of mathematicians who have contributed to the development of the subject. Includes over 320 exercises, and an extensive index. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Algebraic number theory. |0 http://id.loc.gov/authorities/subjects/sh85003436 | |
| 650 | 0 | |a Number theory. |0 http://id.loc.gov/authorities/subjects/sh85093222 | |
| 650 | 6 | |a Théorie algébrique des nombres. | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn560115628 |
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| _version_ | 1816881706950459392 |
| adam_text | |
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| author | Alaca, Şaban, 1964- |
| author2 | Williams, Kenneth S. |
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| contents | Integral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations. |
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| dewey-search | 512/.74 |
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| discipline | Mathematik |
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| genre | Einführung. swd |
| genre_facet | Einführung. |
| id | ZDB-4-EBA-ocn560115628 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:59Z |
| institution | BVB |
| isbn | 0511166095 9780511166099 9780511164149 0511164149 9780521832502 0521832500 9780521540117 0521540119 9780511791260 0511791267 9780511164941 0511164947 1107148855 9781107148857 0511566808 9780511566806 |
| language | English |
| oclc_num | 560115628 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvii, 428 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Alaca, Şaban, 1964- http://id.loc.gov/authorities/names/n2003009216 Introductory algebraic number theory / Şaban Alaca, Kenneth S. Williams. Cambridge ; New York : Cambridge University Press, 2004. 1 online resource (xvii, 428 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references (pages 423-424) and index. Integral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations. Print version record. An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics. It includes numerous examples, and references to further reading and to biographies of mathematicians who have contributed to the development of the subject. Includes over 320 exercises, and an extensive index. English. Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie algébrique des nombres. Théorie des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Number theory fast Algebraische Zahlentheorie gnd http://d-nb.info/gnd/4001170-7 Teoria dos números. larpcal Números algébricos. larpcal Nombres algébriques, Théorie des. ram Einführung. swd Williams, Kenneth S. http://id.loc.gov/authorities/names/n84089986 has work: Introductory algebraic number theory (Text) https://id.oclc.org/worldcat/entity/E39PCFMTdkJcpRHBQRTkT8WrHK https://id.oclc.org/worldcat/ontology/hasWork Print version: Alaca, Şaban, 1964- Introductory algebraic number theory. Cambridge ; New York : Cambridge University Press, 2004 (DLC) 2003051243 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=165080 Volltext |
| spellingShingle | Alaca, Şaban, 1964- Introductory algebraic number theory / Integral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations. Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie algébrique des nombres. Théorie des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Number theory fast Algebraische Zahlentheorie gnd http://d-nb.info/gnd/4001170-7 Teoria dos números. larpcal Números algébricos. larpcal Nombres algébriques, Théorie des. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003436 http://id.loc.gov/authorities/subjects/sh85093222 http://d-nb.info/gnd/4001170-7 |
| title | Introductory algebraic number theory / |
| title_auth | Introductory algebraic number theory / |
| title_exact_search | Introductory algebraic number theory / |
| title_full | Introductory algebraic number theory / Şaban Alaca, Kenneth S. Williams. |
| title_fullStr | Introductory algebraic number theory / Şaban Alaca, Kenneth S. Williams. |
| title_full_unstemmed | Introductory algebraic number theory / Şaban Alaca, Kenneth S. Williams. |
| title_short | Introductory algebraic number theory / |
| title_sort | introductory algebraic number theory |
| topic | Algebraic number theory. http://id.loc.gov/authorities/subjects/sh85003436 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie algébrique des nombres. Théorie des nombres. MATHEMATICS Number Theory. bisacsh Algebraic number theory fast Number theory fast Algebraische Zahlentheorie gnd http://d-nb.info/gnd/4001170-7 Teoria dos números. larpcal Números algébricos. larpcal Nombres algébriques, Théorie des. ram |
| topic_facet | Algebraic number theory. Number theory. Théorie algébrique des nombres. Théorie des nombres. MATHEMATICS Number Theory. Algebraic number theory Number theory Algebraische Zahlentheorie Teoria dos números. Números algébricos. Nombres algébriques, Théorie des. Einführung. |
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| work_keys_str_mv | AT alacasaban introductoryalgebraicnumbertheory AT williamskenneths introductoryalgebraicnumbertheory |