Groups, rings and fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
London [u.a.]
Springer
1998
|
| Schriftenreihe: | Springer undergraduate mathematics series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 248 S. graph. Darst. |
| ISBN: | 3540761772 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | D.A.R. WALLACE GROUPS, RINGS AND FIELDS WITH 15 FIGURES SPRINGER
CONTENTS PREFOCE VII CHAPTER 1 SETS AND MAPPINGS 1 1.1 UNION AND
INTERSECTION 1 1.2 VENN DIAGRAMS 8 1.3 MAPPINGS 17 1.4 EQUIVALENCE
RELATIONS 27 1.5 WELL-ORDERING AND INDUCTION 34 1.6 COUNTABLE SETS 41
CHAPTER 2 THE INTEGERS 47 2.1 DIVISIBILITY 47 2.2 DIVISORS 50 2.3
DIVISION ALGORITHM 52 2.4 EUCLIDEAN ALGORITHM 56 2.5 PRIMES 62 CHAPTER 3
INTRODUCTION TO RINGS 71 3.1 CONCEPT OF A POLYNOMIAL 72 3.2 DIVISION AND
EUCLIDEAN ALGORITHMS 76 3.3 AXIOMS AND RINGS 82 V VI CONTENTS CHAPTER 4
INTRODUCTION TO GROUPS 93 4.1 SEMIGROUPS 94 4.2 FINITE AND INFINITE
GROUPS 99 4.3 SUBGROUPS 115 4.4 LAGRANGE S THEOREM, COSETS AND CONJUGACY
127 4.5 HOMOMORPHISMS 134 CHAPTER 5 RINGS 145 5.1 ARITHMETIC MODULO N
145 5.2 INTEGRAL DOMAINS AND FIELDS 150 5.3 EUCLIDEAN DOMAINS 163 5.4
IDEALS AND HOMOMORPHISMS 168 5.5 PRINCIPAL IDEAL AND UNIQUE
FACTORIZATION DOMAINS 177 5.6 FACTORIZATION IN Q[X] 186 CHAPTER 6 TOPICS
IN GROUP THEORY 191 6.1 PERMUTATION GROUPS 191 6.2 GENERATORS AND
RELATIONS 204 6.3 DIRECT PRODUCTS AND SUMS 210 6.4 ABELIAN GROUPS 213
6.5 P-GROUPS AND SYLOW SUBGROUPS 218 HINTS TO SOLUTIONS 225 SUGGESTIONS
FOR FURTHER STUDY 245 INDEX 246
|
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:20:31Z |
| institution | BVB |
| isbn | 3540761772 |
| language | German |
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| physical | VIII, 248 S. graph. Darst. |
| publishDate | 1998 |
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| publisher | Springer |
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| series2 | Springer undergraduate mathematics series |
| spelling | Wallace, David Alexander Ross Verfasser aut Groups, rings and fields D. A. R. Wallace London [u.a.] Springer 1998 VIII, 248 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer undergraduate mathematics series Algebra - Lehrbuch Algebra, Abstract Algebra (DE-588)4001156-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008144537&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wallace, David Alexander Ross Groups, rings and fields Algebra - Lehrbuch Algebra, Abstract Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4123623-3 |
| title | Groups, rings and fields |
| title_auth | Groups, rings and fields |
| title_exact_search | Groups, rings and fields |
| title_full | Groups, rings and fields D. A. R. Wallace |
| title_fullStr | Groups, rings and fields D. A. R. Wallace |
| title_full_unstemmed | Groups, rings and fields D. A. R. Wallace |
| title_short | Groups, rings and fields |
| title_sort | groups rings and fields |
| topic | Algebra - Lehrbuch Algebra, Abstract Algebra (DE-588)4001156-2 gnd |
| topic_facet | Algebra - Lehrbuch Algebra, Abstract Algebra Lehrbuch |
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