A Classical Introduction to Modern Number Theory:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1990
|
Ausgabe: | Second Edition |
Schriftenreihe: | Graduate Texts in Mathematics
84 |
Schlagworte: | |
Online-Zugang: | Volltext Buchcover |
Beschreibung: | Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves |
Beschreibung: | 1 Online-Ressource (XIV, 394 p) |
ISBN: | 9781475721034 9781441930941 |
ISSN: | 0072-5285 |
DOI: | 10.1007/978-1-4757-2103-4 |
Internformat
MARC
LEADER | 00000nmm a2200000zcb4500 | ||
---|---|---|---|
001 | BV042421309 | ||
003 | DE-604 | ||
005 | 20180612 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s1990 |||| o||u| ||||||eng d | ||
020 | |a 9781475721034 |c Online |9 978-1-4757-2103-4 | ||
020 | |a 9781441930941 |c Print |9 978-1-4419-3094-1 | ||
024 | 7 | |a 10.1007/978-1-4757-2103-4 |2 doi | |
035 | |a (OCoLC)906704794 | ||
035 | |a (DE-599)BVBBV042421309 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 512.7 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Ireland, Kenneth |e Verfasser |4 aut | |
245 | 1 | 0 | |a A Classical Introduction to Modern Number Theory |c by Kenneth Ireland, Michael Rosen |
250 | |a Second Edition | ||
264 | 1 | |a New York, NY |b Springer New York |c 1990 | |
300 | |a 1 Online-Ressource (XIV, 394 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Graduate Texts in Mathematics |v 84 |x 0072-5285 | |
500 | |a Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Number theory | |
650 | 4 | |a Number Theory | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
689 | 0 | 0 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
689 | 0 | |8 2\p |5 DE-604 | |
700 | 1 | |a Rosen, Michael |e Sonstige |4 oth | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4757-2103-4 |x Verlag |3 Volltext |
856 | 4 | 2 | |m SWB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027856726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Buchcover |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027856726 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804153094203768832 |
---|---|
any_adam_object | 1 |
author | Ireland, Kenneth |
author_facet | Ireland, Kenneth |
author_role | aut |
author_sort | Ireland, Kenneth |
author_variant | k i ki |
building | Verbundindex |
bvnumber | BV042421309 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)906704794 (DE-599)BVBBV042421309 |
dewey-full | 512.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.7 |
dewey-search | 512.7 |
dewey-sort | 3512.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4757-2103-4 |
edition | Second Edition |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02726nmm a2200517zcb4500</leader><controlfield tag="001">BV042421309</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180612 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1990 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781475721034</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4757-2103-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441930941</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4419-3094-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4757-2103-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)906704794</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421309</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.7</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ireland, Kenneth</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A Classical Introduction to Modern Number Theory</subfield><subfield code="c">by Kenneth Ireland, Michael Rosen</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 394 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Graduate Texts in Mathematics</subfield><subfield code="v">84</subfield><subfield code="x">0072-5285</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rosen, Michael</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4757-2103-4</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">SWB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027856726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Buchcover</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856726</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
genre | 1\p (DE-588)4151278-9 Einführung gnd-content |
genre_facet | Einführung |
id | DE-604.BV042421309 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:08Z |
institution | BVB |
isbn | 9781475721034 9781441930941 |
issn | 0072-5285 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856726 |
oclc_num | 906704794 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XIV, 394 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1990 |
publishDateSearch | 1990 |
publishDateSort | 1990 |
publisher | Springer New York |
record_format | marc |
series2 | Graduate Texts in Mathematics |
spelling | Ireland, Kenneth Verfasser aut A Classical Introduction to Modern Number Theory by Kenneth Ireland, Michael Rosen Second Edition New York, NY Springer New York 1990 1 Online-Ressource (XIV, 394 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 84 0072-5285 Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves Mathematics Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Zahlentheorie (DE-588)4067277-3 s 2\p DE-604 Rosen, Michael Sonstige oth https://doi.org/10.1007/978-1-4757-2103-4 Verlag Volltext SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027856726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Buchcover 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 | Ireland, Kenneth A Classical Introduction to Modern Number Theory Mathematics Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd |
subject_GND | (DE-588)4067277-3 (DE-588)4151278-9 |
title | A Classical Introduction to Modern Number Theory |
title_auth | A Classical Introduction to Modern Number Theory |
title_exact_search | A Classical Introduction to Modern Number Theory |
title_full | A Classical Introduction to Modern Number Theory by Kenneth Ireland, Michael Rosen |
title_fullStr | A Classical Introduction to Modern Number Theory by Kenneth Ireland, Michael Rosen |
title_full_unstemmed | A Classical Introduction to Modern Number Theory by Kenneth Ireland, Michael Rosen |
title_short | A Classical Introduction to Modern Number Theory |
title_sort | a classical introduction to modern number theory |
topic | Mathematics Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd |
topic_facet | Mathematics Number theory Number Theory Mathematik Zahlentheorie Einführung |
url | https://doi.org/10.1007/978-1-4757-2103-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027856726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT irelandkenneth aclassicalintroductiontomodernnumbertheory AT rosenmichael aclassicalintroductiontomodernnumbertheory |