P-adic numbers: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Barcelona ; Budapest u.a.
Springer
1997
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 291 - 293 |
| Beschreibung: | VI, 298 S. graph. Darst. |
| ISBN: | 3540629114 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV011376034 | ||
| 003 | DE-604 | ||
| 005 | 19981104 | ||
| 007 | t | ||
| 008 | 970603s1997 gw d||| |||| 00||| ger d | ||
| 016 | 7 | |a 950239828 |2 DE-101 | |
| 020 | |a 3540629114 |c kart. : DM 58.00 |9 3-540-62911-4 | ||
| 035 | |a (OCoLC)476507318 | ||
| 035 | |a (DE-599)BVBBV011376034 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-384 | ||
| 050 | 0 | |a QA241 | |
| 082 | 0 | |a 512 |2 21 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 100 | 1 | |a Gouvêa, Fernando Q. |d 1957- |e Verfasser |0 (DE-588)111808863 |4 aut | |
| 245 | 1 | 0 | |a P-adic numbers |b an introduction |c Fernando Gouvêa |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Barcelona ; Budapest u.a. |b Springer |c 1997 | |
| 300 | |a VI, 298 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 500 | |a Literaturverz. S. 291 - 293 | ||
| 650 | 4 | |a p-adic numbers | |
| 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 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007645099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007645099 | |
Datensatz im Suchindex
| _version_ | 1807681918496407552 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
.
1
1
APERITIF
.
5
1.1
HENSEL
'
S
ANALOGY
.
5
1.2
SOLVING
CONGRUENCES
MODULO
P
N
.
12
1.3
OTHER
EXAMPLES
.
17
2
FOUNDATIONS
.
21
2.1
ABSOLUTE
VALUES
ON
A
FIELD
.
21
2.2
BASIC
PROPERTIES
.
27
2.3
TOPOLOGY
.
30
2.4
ALGEBRA
.
37
3
P-ADIC
NUMBERS
.
41
3.1
ABSOLUTE
VALUES
ON
Q
.
41
3.2
COMPLETIONS
.
47
3.3
EXPLORING
Q
P
.
57
3.4
HENSEL
'
S
LEMMA
.
67
3.5
LOCAL
AND
GLOBAL
.
75
4
ELEMENTARY
ANALYSIS
IN
Q
P
.
85
4.1
SEQUENCES
AND
SERIES
.
86
4.2
FUNCTIONS,
CONTINUITY,
DERIVATIVES
.
90
4.3
POWER
SERIES
.
93
4.4
FUNCTIONS
DEFINED
BY
POWER
SERIES
.
100
4.5
SOME
ELEMENTARY
FUNCTIONS
.
109
4.6
INTERPOLATION
.
124
5
VECTOR
SPACES
AND
FIELD
EXTENSIONS
.
131
5.1
NORMED
VECTOR
SPACES
OVER
COMPLETE
VALUED
FIELDS
.
132
5.2
FINITE-DIMENSIONAL
NORMED
VECTOR
SPACES
.
137
5.3
FINITE
FIELD
EXTENSIONS
.
141
5.4
PROPERTIES
OF
FINITE
EXTENSIONS
.
156
5.5
ANALYSIS
.
167
5.6
EXAMPLE:
ADJOINING
A
P-TH
ROOT
OF
UNITY
.
169
5.7
ON
TO
CP
.
174
VI
0
CONTENTS
6
ANALYSIS
IN
CP
.
185
6.1
ALMOST
EVERYTHING
EXTENDS
.
185
6.2
DEEPER
RESULTS
ON
POLYNOMIALS
AND
POWER
SERIES
.
189
6.3
ENTIRE
FUNCTIONS
.
206
6.4
NEWTON
POLYGONS
.
210
6.5
PROBLEMS
.
229
A
HINTS
AND
COMMENTS
ON
THE
PROBLEMS
.
233
B
A
BRIEF
GLANCE
AT
THE
LITERATURE
.
287
B.L
TEXTS
.
287
B.2
SOFTWARE
.
288
B.3
OTHER
BOOKS
.
289
BIBLIOGRAPHY
.
291
INDEX
.
295 |
| any_adam_object | 1 |
| author | Gouvêa, Fernando Q. 1957- |
| author_GND | (DE-588)111808863 |
| author_facet | Gouvêa, Fernando Q. 1957- |
| author_role | aut |
| author_sort | Gouvêa, Fernando Q. 1957- |
| author_variant | f q g fq fqg |
| building | Verbundindex |
| bvnumber | BV011376034 |
| 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)476507318 (DE-599)BVBBV011376034 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| 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>00000nam a2200000 c 4500</leader><controlfield tag="001">BV011376034</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19981104</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">970603s1997 gw d||| |||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">950239828</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540629114</subfield><subfield code="c">kart. : DM 58.00</subfield><subfield code="9">3-540-62911-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)476507318</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011376034</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">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA241</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512</subfield><subfield code="2">21</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="100" ind1="1" ind2=" "><subfield code="a">Gouvêa, Fernando Q.</subfield><subfield code="d">1957-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111808863</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">Fernando Gouvêa</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg ; New York ; Barcelona ; Budapest u.a.</subfield><subfield code="b">Springer</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 298 S.</subfield><subfield code="b">graph. Darst.</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="0" ind2=" "><subfield code="a">Universitext</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 291 - 293</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">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="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=007645099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007645099</subfield></datafield></record></collection> |
| id | DE-604.BV011376034 |
| illustrated | Illustrated |
| indexdate | 2024-08-18T00:10:16Z |
| institution | BVB |
| isbn | 3540629114 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007645099 |
| oclc_num | 476507318 |
| open_access_boolean | |
| owner | DE-384 |
| owner_facet | DE-384 |
| physical | VI, 298 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Gouvêa, Fernando Q. 1957- Verfasser (DE-588)111808863 aut P-adic numbers an introduction Fernando Gouvêa 2. ed. Berlin ; Heidelberg ; New York ; Barcelona ; Budapest u.a. Springer 1997 VI, 298 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 291 - 293 p-adic numbers p-adische Zahl (DE-588)4044292-5 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007645099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gouvêa, Fernando Q. 1957- P-adic numbers an introduction p-adic numbers 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 Fernando Gouvêa |
| title_fullStr | P-adic numbers an introduction Fernando Gouvêa |
| title_full_unstemmed | P-adic numbers an introduction Fernando Gouvêa |
| title_short | P-adic numbers |
| title_sort | p adic numbers an introduction |
| title_sub | an introduction |
| topic | p-adic numbers p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | p-adic numbers p-adische Zahl |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007645099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gouveafernandoq padicnumbersanintroduction |