Algebraic theory of numbers:
In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[2016]
|
| Edition: | Sixth printing, 1971 |
| Series: | Annals of mathematics studies
1 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition |
| Item Description: | Description based on online resource; title from PDF title page |
| Physical Description: | 1 online resource |
| ISBN: | 9781400882809 |
| DOI: | 10.1515/9781400882809 |
Staff View
MARC
| LEADER | 00000nmm a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV043712530 | ||
| 003 | DE-604 | ||
| 005 | 20190618 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 160810s1971 |||| o||u| ||||||eng d | ||
| 020 | |a 9781400882809 |9 978-1-4008-8280-9 | ||
| 024 | 7 | |a 10.1515/9781400882809 |2 doi | |
| 035 | |a (ZDB-23-DGG)9781400882809 | ||
| 035 | |a (OCoLC)1165531692 | ||
| 035 | |a (DE-599)BVBBV043712530 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 | ||
| 082 | 0 | |a 512/.74 |2 21 | |
| 084 | |a SI 830 |0 (DE-625)143195: |2 rvk | ||
| 100 | 1 | |a Weyl, Hermann |d 1885-1955 |e Verfasser |0 (DE-588)118816624 |4 aut | |
| 245 | 1 | 0 | |a Algebraic theory of numbers |c Hermann Weyl |
| 250 | |a Sixth printing, 1971 | ||
| 264 | 1 | |a Princeton, NJ |b Princeton University Press |c [2016] | |
| 264 | 4 | |c © 1971 | |
| 300 | |a 1 online resource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies |v 1 | |
| 490 | 0 | |a Princeton landmarks in mathematics and physics | |
| 500 | |a Description based on online resource; title from PDF title page | ||
| 520 | |a In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition | ||
| 546 | |a In English | ||
| 650 | 4 | |a Algebraic number theory | |
| 650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 1 | 1 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 0-691-05917-9 |
| 830 | 0 | |a Annals of mathematics studies |v 1 |w (DE-604)BV040389493 |9 1 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400882809?locatt=mode:legacy |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-23-DGG |a ZDB-23-PST | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029124758 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804176498651824128 |
|---|---|
| any_adam_object | |
| author | Weyl, Hermann 1885-1955 |
| author_GND | (DE-588)118816624 |
| author_facet | Weyl, Hermann 1885-1955 |
| author_role | aut |
| author_sort | Weyl, Hermann 1885-1955 |
| author_variant | h w hw |
| building | Verbundindex |
| bvnumber | BV043712530 |
| classification_rvk | SI 830 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)9781400882809 (OCoLC)1165531692 (DE-599)BVBBV043712530 |
| dewey-full | 512/.74 |
| 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 | 10.1515/9781400882809 |
| edition | Sixth printing, 1971 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02815nmm a2200553 cb4500</leader><controlfield tag="001">BV043712530</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190618 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">160810s1971 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400882809</subfield><subfield code="9">978-1-4008-8280-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400882809</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781400882809</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165531692</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043712530</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.74</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 830</subfield><subfield code="0">(DE-625)143195:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Weyl, Hermann</subfield><subfield code="d">1885-1955</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118816624</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraic theory of numbers</subfield><subfield code="c">Hermann Weyl</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Sixth printing, 1971</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1971</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</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="1" ind2=" "><subfield code="a">Annals of mathematics studies</subfield><subfield code="v">1</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Princeton landmarks in mathematics and physics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic number theory</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="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">0-691-05917-9</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Annals of mathematics studies</subfield><subfield code="v">1</subfield><subfield code="w">(DE-604)BV040389493</subfield><subfield code="9">1</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400882809?locatt=mode:legacy</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-PST</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029124758</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.BV043712530 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400882809 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029124758 |
| oclc_num | 1165531692 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 2016 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies Princeton landmarks in mathematics and physics |
| spelling | Weyl, Hermann 1885-1955 Verfasser (DE-588)118816624 aut Algebraic theory of numbers Hermann Weyl Sixth printing, 1971 Princeton, NJ Princeton University Press [2016] © 1971 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies 1 Princeton landmarks in mathematics and physics Description based on online resource; title from PDF title page In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition In English Algebraic number theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s DE-604 Algebra (DE-588)4001156-2 s Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-05917-9 Annals of mathematics studies 1 (DE-604)BV040389493 1 https://doi.org/10.1515/9781400882809?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Weyl, Hermann 1885-1955 Algebraic theory of numbers Annals of mathematics studies Algebraic number theory Zahlentheorie (DE-588)4067277-3 gnd Algebra (DE-588)4001156-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4001156-2 (DE-588)4001170-7 |
| title | Algebraic theory of numbers |
| title_auth | Algebraic theory of numbers |
| title_exact_search | Algebraic theory of numbers |
| title_full | Algebraic theory of numbers Hermann Weyl |
| title_fullStr | Algebraic theory of numbers Hermann Weyl |
| title_full_unstemmed | Algebraic theory of numbers Hermann Weyl |
| title_short | Algebraic theory of numbers |
| title_sort | algebraic theory of numbers |
| topic | Algebraic number theory Zahlentheorie (DE-588)4067277-3 gnd Algebra (DE-588)4001156-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Algebraic number theory Zahlentheorie Algebra Algebraische Zahlentheorie |
| url | https://doi.org/10.1515/9781400882809?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT weylhermann algebraictheoryofnumbers |