Abstract and linear algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Reading, Mass. [u.a.]
Addison-Wesley
1972
|
| Series: | Addison-Wesley series in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 538 S. Ill. |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002646533 | ||
| 003 | DE-604 | ||
| 005 | 19970707 | ||
| 007 | t | ||
| 008 | 900510s1972 a||| |||| 00||| eng d | ||
| 035 | |a (OCoLC)222831535 | ||
| 035 | |a (DE-599)BVBBV002646533 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-473 |a DE-355 |a DE-20 |a DE-19 |a DE-706 |a DE-634 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA247 | |
| 082 | 0 | |a 512/.815 | |
| 084 | |a SK 200 |0 (DE-625)143223: |2 rvk | ||
| 084 | |a 15-01 |2 msc | ||
| 100 | 1 | |a Burton, David M. |d 1930- |e Verfasser |0 (DE-588)101498372X |4 aut | |
| 245 | 1 | 0 | |a Abstract and linear algebra |c David M. Burton |
| 264 | 1 | |a Reading, Mass. [u.a.] |b Addison-Wesley |c 1972 | |
| 300 | |a VI, 538 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Addison-Wesley series in mathematics | |
| 650 | 4 | |a Ideals (Algebra) | |
| 650 | 4 | |a Rings (Algebra) | |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Struktur |0 (DE-588)4001166-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Struktur |0 (DE-588)4001166-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001698077 | ||
Record in the Search Index
| _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
|
| any_adam_object | 1 |
| author | Burton, David M. 1930- |
| author_GND | (DE-588)101498372X |
| author_facet | Burton, David M. 1930- |
| author_role | aut |
| author_sort | Burton, David M. 1930- |
| author_variant | d m b dm dmb |
| building | Verbundindex |
| bvnumber | BV002646533 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 |
| ctrlnum | (OCoLC)222831535 (DE-599)BVBBV002646533 |
| dewey-full | 512/.815 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.815 |
| dewey-search | 512/.815 |
| dewey-sort | 3512 3815 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01539nam a2200409 c 4500</leader><controlfield tag="001">BV002646533</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19970707 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900510s1972 a||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)222831535</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002646533</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.815</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 200</subfield><subfield code="0">(DE-625)143223:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">15-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Burton, David M.</subfield><subfield code="d">1930-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)101498372X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Abstract and linear algebra</subfield><subfield code="c">David M. Burton</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Reading, Mass. [u.a.]</subfield><subfield code="b">Addison-Wesley</subfield><subfield code="c">1972</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 538 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Addison-Wesley series in mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ideals (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rings (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001698077</subfield></datafield></record></collection> |
| id | DE-604.BV002646533 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:47:51Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001698077 |
| oclc_num | 222831535 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 |
| 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 |
| url | 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 |
| work_keys_str_mv | AT burtondavidm abstractandlinearalgebra |