Theory of algebraic integers:
The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathem...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1996
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Schriftenreihe: | Cambridge mathematical library
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Schlagworte: | |
Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
Zusammenfassung: | The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathematiques' in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir gives a candid account of his development of an elegant theory as well as providing blow-by-blow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (vii, 158 pages) |
ISBN: | 9780511623639 |
DOI: | 10.1017/CBO9780511623639 |
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author | Dedekind, Richard 1831-1916 |
author2 | Stillwell, John |
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author2_variant | j s js |
author_facet | Dedekind, Richard 1831-1916 Stillwell, John |
author_role | aut |
author_sort | Dedekind, Richard 1831-1916 |
author_variant | r d rd |
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bvnumber | BV043941047 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512/.74 |
dewey-search | 512/.74 |
dewey-sort | 3512 274 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511623639 |
format | Electronic eBook |
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id | DE-604.BV043941047 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9780511623639 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350016 |
oclc_num | 849902321 |
open_access_boolean | |
owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (vii, 158 pages) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Cambridge mathematical library |
spelling | Dedekind, Richard 1831-1916 Verfasser aut Sur la théorie des nombres entiers algébriques Theory of algebraic integers Richard Dedekind ; translated and introduced by John Stillwell Cambridge Cambridge University Press 1996 1 online resource (vii, 158 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge mathematical library Title from publisher's bibliographic system (viewed on 05 Oct 2015) The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathematiques' in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir gives a candid account of his development of an elegant theory as well as providing blow-by-blow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists Algebraic number theory Integral representations Stillwell, John trl win Erscheint auch als Druckausgabe 978-0-521-56518-9 https://doi.org/10.1017/CBO9780511623639 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Dedekind, Richard 1831-1916 Theory of algebraic integers Algebraic number theory Integral representations |
title | Theory of algebraic integers |
title_alt | Sur la théorie des nombres entiers algébriques |
title_auth | Theory of algebraic integers |
title_exact_search | Theory of algebraic integers |
title_full | Theory of algebraic integers Richard Dedekind ; translated and introduced by John Stillwell |
title_fullStr | Theory of algebraic integers Richard Dedekind ; translated and introduced by John Stillwell |
title_full_unstemmed | Theory of algebraic integers Richard Dedekind ; translated and introduced by John Stillwell |
title_short | Theory of algebraic integers |
title_sort | theory of algebraic integers |
topic | Algebraic number theory Integral representations |
topic_facet | Algebraic number theory Integral representations |
url | https://doi.org/10.1017/CBO9780511623639 |
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