P-adic numbers and their functions:
Gespeichert in:
| Vorheriger Titel: | Introduction to p-adic numbers and their functions |
|---|---|
| 1. Verfasser: | |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Univ. Press
1981
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Cambridge tracts in mathematics
76 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 320 S. |
| ISBN: | 0521231027 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002265801 | ||
| 003 | DE-604 | ||
| 005 | 20220303 | ||
| 007 | t | ||
| 008 | 890928s1981 |||| 00||| eng d | ||
| 020 | |a 0521231027 |9 0-521-23102-7 | ||
| 035 | |a (OCoLC)5336911 | ||
| 035 | |a (DE-599)BVBBV002265801 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-703 |a DE-739 |a DE-824 |a DE-29T |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA241 | |
| 082 | 0 | |a 512/.74 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a 10B40 |2 msc | ||
| 084 | |a 12Bxx |2 msc | ||
| 100 | 1 | |a Mahler, Kurt |d 1903-1988 |e Verfasser |0 (DE-588)117711721 |4 aut | |
| 245 | 1 | 0 | |a P-adic numbers and their functions |c Kurt Mahler |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Univ. Press |c 1981 | |
| 300 | |a X, 320 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 76 | |
| 650 | 4 | |a Fonctions numériques | |
| 650 | 7 | |a Fonctions numériques |2 ram | |
| 650 | 4 | |a Nombres p-adiques | |
| 650 | 7 | |a Nombres p-adiques |2 ram | |
| 650 | 7 | |a P-adische functies |2 gtt | |
| 650 | 7 | |a P-adische getallen |2 gtt | |
| 650 | 4 | |a Numerical functions | |
| 650 | 4 | |a p-adic numbers | |
| 650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktion |0 (DE-588)4195664-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Zahl |0 (DE-588)4044292-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a p-adische Zahl |0 (DE-588)4044292-5 |D s |
| 689 | 1 | 1 | |a Funktion |0 (DE-588)4195664-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 780 | 0 | 0 | |i 1. Auflage |t Introduction to p-adic numbers and their functions |
| 830 | 0 | |a Cambridge tracts in mathematics |v 76 |w (DE-604)BV000000001 |9 76 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488931&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001488931 | ||
Datensatz im Suchindex
| _version_ | 1804116723502153728 |
|---|---|
| adam_text | Contents
page
Preface ix
Preface to the first edition xi
PART I: NUMBERS 1
1 g adic values of rational numbers 3
2 Pseudo valuations and valuations 17
3 g adic and / adic numbers 33
4 The arithmetic of Qg and Qp 42
5 The decomposition of Qg into ^ adic fields 53
6 The quadratic extension fields of Qp 65
PART II: FUNCTIONS 83
7 Elementary topological properties of R, Qp, and Qg 85
8 First properties of continuous g adic functions 104
9 The interpolation series of a g adic function 121
10 Characterisation of functions with the properties
(N) and (W) 138
11 Further properties of / adic functions 160
12 Remarks on functions of two variables 180
13 The derivative of a function on J or Ip 188
14 Higher derivatives 220
15 The Dieudonne integral 234
16 The van der Put series and integral 252
17 Definite integrals and difference equations 275
18 Functions on the quadratic extension fields of Qp 301
References 316
Notation 318
Index 319
|
| any_adam_object | 1 |
| author | Mahler, Kurt 1903-1988 |
| author_GND | (DE-588)117711721 |
| author_facet | Mahler, Kurt 1903-1988 |
| author_role | aut |
| author_sort | Mahler, Kurt 1903-1988 |
| author_variant | k m km |
| building | Verbundindex |
| bvnumber | BV002265801 |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
| callnumber-raw | QA241 |
| callnumber-search | QA241 |
| callnumber-sort | QA 3241 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)5336911 (DE-599)BVBBV002265801 |
| 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 |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02104nam a2200577 cb4500</leader><controlfield tag="001">BV002265801</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220303 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1981 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521231027</subfield><subfield code="9">0-521-23102-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)5336911</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002265801</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA241</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.74</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">10B40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">12Bxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mahler, Kurt</subfield><subfield code="d">1903-1988</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)117711721</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">P-adic numbers and their functions</subfield><subfield code="c">Kurt Mahler</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Univ. Press</subfield><subfield code="c">1981</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 320 S.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">76</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions numériques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fonctions numériques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nombres p-adiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nombres p-adiques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">P-adische functies</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">P-adische getallen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">p-adic numbers</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">Funktion</subfield><subfield code="0">(DE-588)4195664-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</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">p-adische Zahl</subfield><subfield code="0">(DE-588)4044292-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Funktion</subfield><subfield code="0">(DE-588)4195664-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="780" ind1="0" ind2="0"><subfield code="i">1. Auflage</subfield><subfield code="t">Introduction to p-adic numbers and their functions</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">76</subfield><subfield code="w">(DE-604)BV000000001</subfield><subfield code="9">76</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=001488931&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001488931</subfield></datafield></record></collection> |
| id | DE-604.BV002265801 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:02Z |
| institution | BVB |
| isbn | 0521231027 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001488931 |
| oclc_num | 5336911 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-29T DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-29T DE-83 DE-188 |
| physical | X, 320 S. |
| psigel | TUB-www |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Univ. Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Mahler, Kurt 1903-1988 Verfasser (DE-588)117711721 aut P-adic numbers and their functions Kurt Mahler 2. ed. Cambridge [u.a.] Univ. Press 1981 X, 320 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 76 Fonctions numériques Fonctions numériques ram Nombres p-adiques Nombres p-adiques ram P-adische functies gtt P-adische getallen gtt Numerical functions p-adic numbers Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Funktion (DE-588)4195664-3 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s DE-604 p-adische Zahl (DE-588)4044292-5 s Funktion (DE-588)4195664-3 s 1. Auflage Introduction to p-adic numbers and their functions Cambridge tracts in mathematics 76 (DE-604)BV000000001 76 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488931&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mahler, Kurt 1903-1988 P-adic numbers and their functions Cambridge tracts in mathematics Fonctions numériques Fonctions numériques ram Nombres p-adiques Nombres p-adiques ram P-adische functies gtt P-adische getallen gtt Numerical functions p-adic numbers Zahlentheorie (DE-588)4067277-3 gnd Funktion (DE-588)4195664-3 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4195664-3 (DE-588)4044292-5 |
| title | P-adic numbers and their functions |
| title_auth | P-adic numbers and their functions |
| title_exact_search | P-adic numbers and their functions |
| title_full | P-adic numbers and their functions Kurt Mahler |
| title_fullStr | P-adic numbers and their functions Kurt Mahler |
| title_full_unstemmed | P-adic numbers and their functions Kurt Mahler |
| title_old | Introduction to p-adic numbers and their functions |
| title_short | P-adic numbers and their functions |
| title_sort | p adic numbers and their functions |
| topic | Fonctions numériques Fonctions numériques ram Nombres p-adiques Nombres p-adiques ram P-adische functies gtt P-adische getallen gtt Numerical functions p-adic numbers Zahlentheorie (DE-588)4067277-3 gnd Funktion (DE-588)4195664-3 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | Fonctions numériques Nombres p-adiques P-adische functies P-adische getallen Numerical functions p-adic numbers Zahlentheorie Funktion p-adische Zahl |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488931&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
| work_keys_str_mv | AT mahlerkurt padicnumbersandtheirfunctions |