P-adic numbers: an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Budapest u.a.
Springer
1997
|
| Edition: | 2. ed. |
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 291 - 293 |
| Physical Description: | VI, 298 S. graph. Darst. |
| ISBN: | 3540629114 |
Staff View
MARC
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| 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. | ||
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| 500 | |a Literaturverz. S. 291 - 293 | ||
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Record in the Search Index
| _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- |
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| 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 |
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| 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 |
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| 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 |
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