Basic algebraic systems: an introduction to abstract algebra
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
1968
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 224 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Basic algebraic systems |b an introduction to abstract algebra |c Richard Laatsch |
| 264 | 1 | |a New York [u.a.] |b McGraw-Hill |c 1968 | |
| 300 | |a XII, 224 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804142419323650048 |
|---|---|
| adam_text | CONTENTS
Preface vii
Chapter 1 Fundamental Concepts 1
1-A Sets 1
1-B Operations on Sets 6
1-C Relations 10
1-D Mappings 16
1-E Operations 21
1-F The Number Systems 34
Chapter 2 Groups 42
S-A Basic Properties 43
S-B Subgroups 49
xii Contents
Z-C Examples of Groups 52
2-D Cyclic Groups 62
2-E Permutation Groups 68
Chapter 3 Subgroups and Homomorphisms 76
S-A Homomorphisms 78
3-B Cosets 82
S-C Normal Subgroups 88
3-D The Fundamental Theorem 92
Chapter 4 Two-operation Systems 97
4-A Rings 98
4-B Subrings and Ideals 102
4-C Integral Domains 108
4-D Ordered Integral Domains 112
4-E Fields 117
Chapter 5 Polynomials 125
5-A Coefficients 126
5-B Polynomials as Sequences 131
5-C Polynomials over Integral Domains 132
5-D Polynomials over Fields 139
5-E Some Examples of Fields 146
Chapter 6 Topics in Group Theory 152
6-A Isomorphism Theorems 153
6-B Direct Products 158
6-C Conjugates 163
Chapter 7 Vector Spaces 170
7-A Groups with Operators 171
7-B Vector Spaces 173
7-C Convexity 179
Chapter 8 Boolean Algebra and Mathematical Proof 189
8-A Boolean Algebra 190
8-B Logic and Proofs 195
8-C A Note on Set Theory 202
Appendix I Selected Group Tables 206
Appendix II The General Associative Law 209
Appendix III Notes on Selected Exercises 212
Index of Symbols 219
Subject Index 221
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| discipline | Mathematik |
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| indexdate | 2024-07-09T22:31:28Z |
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| language | English |
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| spelling | Laatsch, Richard Verfasser aut Basic algebraic systems an introduction to abstract algebra Richard Laatsch New York [u.a.] McGraw-Hill 1968 XII, 224 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Allgemeine Algebra (DE-588)4567805-4 gnd rswk-swf Allgemeine Algebra (DE-588)4567805-4 s Algebraische Struktur (DE-588)4001166-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019969081&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Laatsch, Richard Basic algebraic systems an introduction to abstract algebra Algebraische Struktur (DE-588)4001166-5 gnd Allgemeine Algebra (DE-588)4567805-4 gnd |
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| title | Basic algebraic systems an introduction to abstract algebra |
| title_auth | Basic algebraic systems an introduction to abstract algebra |
| title_exact_search | Basic algebraic systems an introduction to abstract algebra |
| title_full | Basic algebraic systems an introduction to abstract algebra Richard Laatsch |
| title_fullStr | Basic algebraic systems an introduction to abstract algebra Richard Laatsch |
| title_full_unstemmed | Basic algebraic systems an introduction to abstract algebra Richard Laatsch |
| title_short | Basic algebraic systems |
| title_sort | basic algebraic systems an introduction to abstract algebra |
| title_sub | an introduction to abstract algebra |
| topic | Algebraische Struktur (DE-588)4001166-5 gnd Allgemeine Algebra (DE-588)4567805-4 gnd |
| topic_facet | Algebraische Struktur Allgemeine Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019969081&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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