Algebraic numbers and algebraic functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Chapman & Hall
1991
|
| Ausgabe: | 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 192 S. |
| ISBN: | 0412361906 |
Internformat
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| 100 | 1 | |a Cohn, Paul M. |d 1924-2006 |e Verfasser |0 (DE-588)121230538 |4 aut | |
| 245 | 1 | 0 | |a Algebraic numbers and algebraic functions |c P. M. Cohn |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a London u.a. |b Chapman & Hall |c 1991 | |
| 300 | |a XII, 192 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Algebraïsche functies |2 gtt | |
| 650 | 7 | |a Algebraïsche getallen |2 gtt | |
| 650 | 7 | |a Fonctions algébriques |2 ram | |
| 650 | 7 | |a Nombres algébriques, Théorie des |2 ram | |
| 650 | 4 | |a Algebraic fields | |
| 650 | 4 | |a Algebraic functions | |
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Datensatz im Suchindex
| _version_ | 1804118857331245056 |
|---|---|
| adam_text | Contents
Preface vii
Notes to the reader ix
Introduction xi
1 Fields with valuations
1.1 Absolute values 1
1.2 The topology defined by an absolute value 6
1.3 Complete fields 11
1.4 Valuations, valuation rings and places 18
1.5 The representation by power series 27
1.6 Ordered groups 31
1.7 General valuations 37
2 Extensions
2.1 Generalities on extensions 43
2.2 Extensions of complete fields 46
2.3 Extensions of incomplete fields 54
2.4 Dedekind domains and the strong approximation theorem 58
2.5 Extensions of Dedekind domains 67
2.6 Different and discriminant 72
3 Global fields
3.1 Algebraic number fields 83
3.2 The product formula 91
3.3 The unit theorem 100
3.4 The class number 106
4 Function fields
4.1 Divisors on a function field 109
4.2 Principal divisors and the divisor class group 118
4.3 Riemann s theorem and the specialty index 125
vi Contents
4.4 The genus 129
4.5 Derivations and differentials 135
4.6 The Riemann Roch theorem and its consequences 144
4.7 Elliptic function fields 155
4.8 Abelian integrals and the Abel Jacobi theorem 167
5 Algebraic function fields in two variables
5.1 Valuations on function fields of two variables 176
Bibliography 183
Table of notations 187
Index 189
|
| any_adam_object | 1 |
| author | Cohn, Paul M. 1924-2006 |
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| author_facet | Cohn, Paul M. 1924-2006 |
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| author_sort | Cohn, Paul M. 1924-2006 |
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| callnumber-first | Q - Science |
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| callnumber-raw | QA247 |
| callnumber-search | QA247 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 240 |
| classification_tum | MAT 120f |
| ctrlnum | (OCoLC)26543104 (DE-599)BVBBV004737281 |
| 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 | 1. ed. |
| format | Book |
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| institution | BVB |
| isbn | 0412361906 |
| language | English |
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| physical | XII, 192 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
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| publisher | Chapman & Hall |
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| spelling | Cohn, Paul M. 1924-2006 Verfasser (DE-588)121230538 aut Algebraic numbers and algebraic functions P. M. Cohn 1. ed. London u.a. Chapman & Hall 1991 XII, 192 S. txt rdacontent n rdamedia nc rdacarrier Algebraïsche functies gtt Algebraïsche getallen gtt Fonctions algébriques ram Nombres algébriques, Théorie des ram Algebraic fields Algebraic functions Algebraische Zahl (DE-588)4141847-5 gnd rswk-swf Algebraische Funktionentheorie (DE-588)4141837-2 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraische Funktion (DE-588)4141836-0 gnd rswk-swf Algebraische Zahl (DE-588)4141847-5 s DE-604 Algebraische Funktion (DE-588)4141836-0 s Algebraische Zahlentheorie (DE-588)4001170-7 s DE-188 Algebraische Funktionentheorie (DE-588)4141837-2 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002915024&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cohn, Paul M. 1924-2006 Algebraic numbers and algebraic functions Algebraïsche functies gtt Algebraïsche getallen gtt Fonctions algébriques ram Nombres algébriques, Théorie des ram Algebraic fields Algebraic functions Algebraische Zahl (DE-588)4141847-5 gnd Algebraische Funktionentheorie (DE-588)4141837-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Algebraische Funktion (DE-588)4141836-0 gnd |
| subject_GND | (DE-588)4141847-5 (DE-588)4141837-2 (DE-588)4001170-7 (DE-588)4141836-0 |
| title | Algebraic numbers and algebraic functions |
| title_auth | Algebraic numbers and algebraic functions |
| title_exact_search | Algebraic numbers and algebraic functions |
| title_full | Algebraic numbers and algebraic functions P. M. Cohn |
| title_fullStr | Algebraic numbers and algebraic functions P. M. Cohn |
| title_full_unstemmed | Algebraic numbers and algebraic functions P. M. Cohn |
| title_short | Algebraic numbers and algebraic functions |
| title_sort | algebraic numbers and algebraic functions |
| topic | Algebraïsche functies gtt Algebraïsche getallen gtt Fonctions algébriques ram Nombres algébriques, Théorie des ram Algebraic fields Algebraic functions Algebraische Zahl (DE-588)4141847-5 gnd Algebraische Funktionentheorie (DE-588)4141837-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Algebraische Funktion (DE-588)4141836-0 gnd |
| topic_facet | Algebraïsche functies Algebraïsche getallen Fonctions algébriques Nombres algébriques, Théorie des Algebraic fields Algebraic functions Algebraische Zahl Algebraische Funktionentheorie Algebraische Zahlentheorie Algebraische Funktion |
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