Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
Dordrecht u.a.
Reidel u.a.
1984
|
| Ausgabe: | 1. Engl. ed. |
| Schriftenreihe: | Mathematics and its applications / East European series
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | EST: Capitole speciale de algebră <engl.>. - Aus d. Rumän. übers. |
| Beschreibung: | VIII, 406 S. |
| ISBN: | 9027716714 |
Internformat
MARC
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| 245 | 1 | 0 | |a Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
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| 264 | 1 | |a Dordrecht u.a. |b Reidel u.a. |c 1984 | |
| 300 | |a VIII, 406 S. | ||
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| 490 | 1 | |a Mathematics and its applications / East European series |v 12 | |
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Datensatz im Suchindex
| _version_ | 1804114751289032704 |
|---|---|
| adam_text | Table of Contents
Editor s Preface vii
CHAPTER I. Quadratic Forms and Arithmetical Symbols 1
I. Elements of Quadratic Forms Theory
Quadratic Forms over a Field k of Characteristic ^2 1
II. Symbols. Elements of the Theory of the Group K^A) 29
§1. Symbols 29
§2. The Group of the Units ofp adic Fields 40
§3. Quadratic Forms over Discrete Valuation Fields 48
§4. A Formula for the Hilbert Symbol in the Case of /? adic
Fields 67
§5. The Product Formula (Hilbert) 79
§6. Applications. Comments 82
§7. The Theorem of Minkowski Hasse 85
CHAPTER II. Methods of Logic and Algorithmic Methods
in Algebra
§1. Countable Sets 103
§2. The Notion of Lattice 108
§3. The Algebra of Propositions 119
§4. Formal Systems 123
§5. Primitive Recursive Functions 156
§6. Recursive Functions 161
§7. Turing Machines 168
§8. The Concept of Recursive (Algorithmic) Decidability 177
§9. On the Formalist and the Constructive Point of View in
Mathematics 213
§10. Derived Terms in the Theory of Formal Systems 218
§11. The Constructive Approach to Set Theory 222
vi TABLE OF CONTENTS
CHAPTER III. Introduction to Modem Algebraic Geometry 229
§1. Generalities 229
§2. The Spectrum of a Commutative Ring 235
§3. Schemes. Chevalley Schemes 251
§4. Elements of Protective Geometry 263
§5. The Chevalley Scheme Associated to an Integral and
Irreducible Scheme 269
CHAPTER IV. Theory of Topoi 111
I. General Theory of Topoi 271
§1. Introduction 271
§2. Some Definitions 278
§3. Elements of Descent Theory 291
§4. Grothendieck Topologies 304
II. Theory of Lawvere Tierney Topoi 316
CHAPTER V. Elements of the Theory of Elliptic Curves 341
I. Elliptic Curves Defined over the Complex Field 341
II. Divisors 350
CHAPTER VI. Algebraic Varieties over a Finite Field 365
§1. The Zeta Function 365
§2. Cohomology Theories 370
§3. Weil s Diophantine Conjectures 372
CHAPTER VII. Elementary Theory of Non Standard Real
Numbers 383
APPENDIX. On Local Rings with the Approximation Property 403
INDEX 405
|
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| author | Bucur, Ionel |
| author_facet | Bucur, Ionel |
| author_role | aut |
| author_sort | Bucur, Ionel |
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| building | Verbundindex |
| bvnumber | BV000286835 |
| classification_rvk | SK 200 |
| classification_tum | MAT 103f MAT 110f MAT 034f |
| ctrlnum | (OCoLC)239932670 (DE-599)BVBBV000286835 |
| discipline | Mathematik |
| edition | 1. Engl. ed. |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:11:42Z |
| institution | BVB |
| isbn | 9027716714 |
| language | Undetermined |
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| physical | VIII, 406 S. |
| publishDate | 1984 |
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| publisher | Reidel u.a. |
| record_format | marc |
| series2 | Mathematics and its applications / East European series |
| spelling | Bucur, Ionel Verfasser aut Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry 1. Engl. ed. Dordrecht u.a. Reidel u.a. 1984 VIII, 406 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / East European series 12 EST: Capitole speciale de algebră <engl.>. - Aus d. Rumän. übers. Algebra (DE-588)4001156-2 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Algebra (DE-588)4001156-2 s DE-604 Algebraische Geometrie (DE-588)4001161-6 s Mathematische Logik (DE-588)4037951-6 s East European series Mathematics and its applications 12 (DE-604)BV000006709 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000174400&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bucur, Ionel Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry Algebra (DE-588)4001156-2 gnd Mathematische Logik (DE-588)4037951-6 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4037951-6 (DE-588)4001161-6 (DE-588)4143413-4 |
| title | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_auth | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_exact_search | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_full | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_fullStr | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_full_unstemmed | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_short | Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry |
| title_sort | selected topics in algebra and its interrelations with logic number theory and algebraic geometry |
| topic | Algebra (DE-588)4001156-2 gnd Mathematische Logik (DE-588)4037951-6 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebra Mathematische Logik Algebraische Geometrie Aufsatzsammlung |
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