p-adic Numbers: An Introduction
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
Schriftenreihe: | Universitext
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book |
Beschreibung: | 1 Online-Ressource (VI, 282 p) |
ISBN: | 9783662222782 9783540568445 |
ISSN: | 0172-5939 |
DOI: | 10.1007/978-3-662-22278-2 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042423510 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s1993 |||| o||u| ||||||eng d | ||
020 | |a 9783662222782 |c Online |9 978-3-662-22278-2 | ||
020 | |a 9783540568445 |c Print |9 978-3-540-56844-5 | ||
024 | 7 | |a 10.1007/978-3-662-22278-2 |2 doi | |
035 | |a (OCoLC)879624004 | ||
035 | |a (DE-599)BVBBV042423510 | ||
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 Gouvêa, Fernando Q. |e Verfasser |4 aut | |
245 | 1 | 0 | |a p-adic Numbers |b An Introduction |c by Fernando Q. Gouvêa |
264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1993 | |
300 | |a 1 Online-Ressource (VI, 282 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Universitext |x 0172-5939 | |
500 | |a p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Number theory | |
650 | 4 | |a Number Theory | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a p-adische Zahl |0 (DE-588)4044292-5 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a p-adische Zahl |0 (DE-588)4044292-5 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-22278-2 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027858927 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804153099335499776 |
---|---|
any_adam_object | |
author | Gouvêa, Fernando Q. |
author_facet | Gouvêa, Fernando Q. |
author_role | aut |
author_sort | Gouvêa, Fernando Q. |
author_variant | f q g fq fqg |
building | Verbundindex |
bvnumber | BV042423510 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)879624004 (DE-599)BVBBV042423510 |
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 | 10.1007/978-3-662-22278-2 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02584nmm a2200457zc 4500</leader><controlfield tag="001">BV042423510</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1993 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662222782</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-22278-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540568445</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-56844-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-22278-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)879624004</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423510</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">Gouvêa, Fernando Q.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">p-adic Numbers</subfield><subfield code="b">An Introduction</subfield><subfield code="c">by Fernando Q. Gouvêa</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VI, 282 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">Universitext</subfield><subfield code="x">0172-5939</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book</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">p-adische Zahl</subfield><subfield code="0">(DE-588)4044292-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">p-adische Zahl</subfield><subfield code="0">(DE-588)4044292-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-662-22278-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</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:BVB01-027858927</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></record></collection> |
id | DE-604.BV042423510 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:13Z |
institution | BVB |
isbn | 9783662222782 9783540568445 |
issn | 0172-5939 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858927 |
oclc_num | 879624004 |
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 (VI, 282 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1993 |
publishDateSearch | 1993 |
publishDateSort | 1993 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
series2 | Universitext |
spelling | Gouvêa, Fernando Q. Verfasser aut p-adic Numbers An Introduction by Fernando Q. Gouvêa Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (VI, 282 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book Mathematics Number theory Number Theory Mathematik p-adische Zahl (DE-588)4044292-5 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 s 1\p DE-604 https://doi.org/10.1007/978-3-662-22278-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Gouvêa, Fernando Q. p-adic Numbers An Introduction Mathematics Number theory Number Theory Mathematik p-adische Zahl (DE-588)4044292-5 gnd |
subject_GND | (DE-588)4044292-5 |
title | p-adic Numbers An Introduction |
title_auth | p-adic Numbers An Introduction |
title_exact_search | p-adic Numbers An Introduction |
title_full | p-adic Numbers An Introduction by Fernando Q. Gouvêa |
title_fullStr | p-adic Numbers An Introduction by Fernando Q. Gouvêa |
title_full_unstemmed | p-adic Numbers An Introduction by Fernando Q. Gouvêa |
title_short | p-adic Numbers |
title_sort | p adic numbers an introduction |
title_sub | An Introduction |
topic | Mathematics Number theory Number Theory Mathematik p-adische Zahl (DE-588)4044292-5 gnd |
topic_facet | Mathematics Number theory Number Theory Mathematik p-adische Zahl |
url | https://doi.org/10.1007/978-3-662-22278-2 |
work_keys_str_mv | AT gouveafernandoq padicnumbersanintroduction |