Abstract and linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass. [u.a.]
Addison-Wesley
1972
|
| Schriftenreihe: | Addison-Wesley series in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 538 S. Ill. |
Internformat
MARC
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| 245 | 1 | 0 | |a Abstract and linear algebra |c David M. Burton |
| 264 | 1 | |a Reading, Mass. [u.a.] |b Addison-Wesley |c 1972 | |
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Datensatz im Suchindex
| _version_ | 1804117026453585920 |
|---|---|
| adam_text | CONTENTS
Chapter 1 Preliminary Notions
1 1 The algebra of sets 1
1 2 Functions and relations 12
1 3 Elementary number theory 26
Chapter 2 Group Theory
2 1 Definition and elementary properties of groups 40
2 2 Two important groups 62
2 3 Subgroups 81
2 4 Normal subgroups and quotient groups 96
2 5 Homomorphisms 114
2 6 The classical isomorphism theorems 129
2 7 Direct products of groups 142
2 8 The Sylow theorems 158
Chapter 3 Ring Theory
3 1 Definition and elementary properties of rings 173
3 2 Ideals 190
3 3 Integral domains and fields 208
3 4 Certain special ideals 225
3 5 Divisibility theory in integral domains 243
3 6 Polynomial rings 263
3 7 Extensions of fields 287
3 8 Boolean rings and algebras 307
Chapter 4 Linear Algebra
4 1 The algebra of matrices 323
4 2 Elementary properties of vector spaces 339
4 3 Bases and dimension 353
4 4 Determinants 369
T
vi Contents
4 5 Linear mappings 399
4 6 The dual space 427
4 7 Characteristic values and vectors 446
4 8 The Jordan canonical form 476
4 9 Some results on modules 506
Selected References 518
Index of Notation 521
Appendix A: Zorn s Lemma 525
Index 533
|
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:47:51Z |
| institution | BVB |
| language | English |
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| physical | VI, 538 S. Ill. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Addison-Wesley |
| record_format | marc |
| series2 | Addison-Wesley series in mathematics |
| spelling | Burton, David M. 1930- Verfasser (DE-588)101498372X aut Abstract and linear algebra David M. Burton Reading, Mass. [u.a.] Addison-Wesley 1972 VI, 538 S. Ill. txt rdacontent n rdamedia nc rdacarrier Addison-Wesley series in mathematics Ideals (Algebra) Rings (Algebra) Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 Algebraische Struktur (DE-588)4001166-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001698077&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Burton, David M. 1930- Abstract and linear algebra Ideals (Algebra) Rings (Algebra) Lineare Algebra (DE-588)4035811-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4001166-5 |
| title | Abstract and linear algebra |
| title_auth | Abstract and linear algebra |
| title_exact_search | Abstract and linear algebra |
| title_full | Abstract and linear algebra David M. Burton |
| title_fullStr | Abstract and linear algebra David M. Burton |
| title_full_unstemmed | Abstract and linear algebra David M. Burton |
| title_short | Abstract and linear algebra |
| title_sort | abstract and linear algebra |
| topic | Ideals (Algebra) Rings (Algebra) Lineare Algebra (DE-588)4035811-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd |
| topic_facet | Ideals (Algebra) Rings (Algebra) Lineare Algebra Algebraische Struktur |
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