Matters mathematical:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Chelsea
1978
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 246 S. graph. Darst. |
| ISBN: | 0828403007 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002171050 | ||
| 003 | DE-604 | ||
| 005 | 20090409 | ||
| 007 | t | ||
| 008 | 890928s1978 d||| |||| 00||| eng d | ||
| 020 | |a 0828403007 |9 0-8284-0300-7 | ||
| 035 | |a (OCoLC)3380381 | ||
| 035 | |a (DE-599)BVBBV002171050 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-83 | ||
| 050 | 0 | |a QA39.2 | |
| 082 | 0 | |a 510 | |
| 084 | |a SK 110 |0 (DE-625)143215: |2 rvk | ||
| 084 | |a 00A05 |2 msc | ||
| 084 | |a 04-01 |2 msc | ||
| 084 | |a 10-01 |2 msc | ||
| 100 | 1 | |a Herstein, Israel N. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Matters mathematical |c I. N. Herstein ; I. Kaplansky |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York |b Chelsea |c 1978 | |
| 300 | |a VIII, 246 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathématiques | |
| 650 | 7 | |a géométrie finie |2 inriac | |
| 650 | 7 | |a permutation |2 inriac | |
| 650 | 7 | |a théorie groupe |2 inriac | |
| 650 | 7 | |a théorie jeu |2 inriac | |
| 650 | 7 | |a théorie nombre |2 inriac | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Kaplansky, Irving |d 1917-2006 |e Verfasser |0 (DE-588)119264358 |4 aut | |
| 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=001425935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001425935 | ||
Datensatz im Suchindex
| _version_ | 1804116626729074688 |
|---|---|
| adam_text | Contents
Preface vii
1 Sets and Functions 1
1. Sets 2
2. Sets and Counting 8
3. Functions 19
2 Number Theory 33
1. Prime Numbers 34
2. Some Formal Aspects 45
3. Some Formal Consequences 49
4. Some Basic Properties 56
5. Equivalence Relations 65
6. Congruence 69
7. Applications of the Pigeon-Hole Principle 79
8. Wwring s Problem 84
9. Fermat and Mersenne Primes 89
v
vi Contents
3 Permutations 99
1. The Set A(S) 101
2. Cycle Decomposition 102
3. Even and Odd 110
4. The Interlacing Shuffle 118
5. The Josephus Permutation 121
Bibliography 127
4 Group Theory 129
1. Definition and Examples of Groups 130
2. Some Beginning Notions and Results 133
3. Subgroups 136
4. Lagrange s Theorem 141
5. Isomorphism 146
5 Finite Geometry 153
1. Introduction 153
2. Affine Planes 156
3. Counting Arguments 160
4. Planes of Low Order 166
5. Coordinate Affine Planes 170
6. Parallelograms and Midpoints 176
7. The Nonexistence of Planes of Order 6 184
Suggestions for Further Reading 193
6 Game Theory 195
1. Probability 196
2. Mathematical Expectation 198
3. Preliminary Remarks on Games 199
4. Examples 201
5. The General Two-by-Two Game 204
6. Simplified Poker 208
7. The Game Without a Name 212
8. Goofspiel 215
Suggestions for Further Reading 219
7 Infinite Sets 221
1. Infinite Numbers; Countable Sets 221
2. Uncountable Sets 234
Index 243
|
| any_adam_object | 1 |
| author | Herstein, Israel N. Kaplansky, Irving 1917-2006 |
| author_GND | (DE-588)119264358 |
| author_facet | Herstein, Israel N. Kaplansky, Irving 1917-2006 |
| author_role | aut aut |
| author_sort | Herstein, Israel N. |
| author_variant | i n h in inh i k ik |
| building | Verbundindex |
| bvnumber | BV002171050 |
| callnumber-first | Q - Science |
| callnumber-label | QA39 |
| callnumber-raw | QA39.2 |
| callnumber-search | QA39.2 |
| callnumber-sort | QA 239.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 110 |
| ctrlnum | (OCoLC)3380381 (DE-599)BVBBV002171050 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01642nam a2200493 c 4500</leader><controlfield tag="001">BV002171050</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090409 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1978 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0828403007</subfield><subfield code="9">0-8284-0300-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)3380381</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002171050</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-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA39.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 110</subfield><subfield code="0">(DE-625)143215:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">00A05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">04-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">10-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Herstein, Israel N.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Matters mathematical</subfield><subfield code="c">I. N. Herstein ; I. Kaplansky</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">Chelsea</subfield><subfield code="c">1978</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 246 S.</subfield><subfield code="b">graph. Darst.</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="650" ind1=" " ind2="4"><subfield code="a">Mathématiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">géométrie finie</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">permutation</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">théorie groupe</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">théorie jeu</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">théorie nombre</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kaplansky, Irving</subfield><subfield code="d">1917-2006</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119264358</subfield><subfield code="4">aut</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=001425935&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:BVB01-001425935</subfield></datafield></record></collection> |
| id | DE-604.BV002171050 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:41:30Z |
| institution | BVB |
| isbn | 0828403007 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001425935 |
| oclc_num | 3380381 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-83 |
| physical | VIII, 246 S. graph. Darst. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Chelsea |
| record_format | marc |
| spelling | Herstein, Israel N. Verfasser aut Matters mathematical I. N. Herstein ; I. Kaplansky 2. ed. New York Chelsea 1978 VIII, 246 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathématiques géométrie finie inriac permutation inriac théorie groupe inriac théorie jeu inriac théorie nombre inriac Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 Kaplansky, Irving 1917-2006 Verfasser (DE-588)119264358 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001425935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Herstein, Israel N. Kaplansky, Irving 1917-2006 Matters mathematical Mathématiques géométrie finie inriac permutation inriac théorie groupe inriac théorie jeu inriac théorie nombre inriac Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | Matters mathematical |
| title_auth | Matters mathematical |
| title_exact_search | Matters mathematical |
| title_full | Matters mathematical I. N. Herstein ; I. Kaplansky |
| title_fullStr | Matters mathematical I. N. Herstein ; I. Kaplansky |
| title_full_unstemmed | Matters mathematical I. N. Herstein ; I. Kaplansky |
| title_short | Matters mathematical |
| title_sort | matters mathematical |
| topic | Mathématiques géométrie finie inriac permutation inriac théorie groupe inriac théorie jeu inriac théorie nombre inriac Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathématiques géométrie finie permutation théorie groupe théorie jeu théorie nombre Mathematik Mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001425935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hersteinisraeln mattersmathematical AT kaplanskyirving mattersmathematical |