Adventures in recreational mathematics: 1
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore
World Scientific
2022
|
| Schriftenreihe: | ...
21,1 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033281405&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Bandzählung in der Serie fingiert |
| Umfang: | xiv, 300 Seiten Illustrationen |
| ISBN: | 9789811226007 |
Internformat
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV047899457 | ||
| 003 | DE-604 | ||
| 005 | 20230130 | ||
| 007 | t| | ||
| 008 | 220328s2022 xx a||| |||| 00||| eng d | ||
| 020 | |a 9789811226007 |9 978-981-122-600-7 | ||
| 035 | |a (OCoLC)1369565792 | ||
| 035 | |a (DE-599)BVBBV047899457 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 | ||
| 084 | |a SN 300 |0 (DE-625)143331: |2 rvk | ||
| 100 | 1 | |a Singmaster, David |d 1939- |e Verfasser |0 (DE-588)1106839536 |4 aut | |
| 245 | 1 | 0 | |a Adventures in recreational mathematics |n 1 |
| 264 | 1 | |a Singapore |b World Scientific |c 2022 | |
| 300 | |a xiv, 300 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a ... |v 21,1 | |
| 490 | 0 | |a Problem solving in mathematics and beyond | |
| 500 | |a Bandzählung in der Serie fingiert | ||
| 650 | 0 | 7 | |a Unterhaltungsmathematik |0 (DE-588)4124357-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Unterhaltungsmathematik |0 (DE-588)4124357-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 773 | 0 | 8 | |w (DE-604)BV047899450 |g 1 |
| 830 | 0 | |a ... |v 21,1 |w (DE-604)BV044751519 |9 21,1 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033281405&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-033281405 | |
Datensatz im Suchindex
| _version_ | 1819308590193704960 |
|---|---|
| adam_text | Contents Preface ix xiii About the Author 1. What is Recreational Mathematics? 1 Bibliography............................................................................. 7 Part I. Ancient Puzzles 2. 3. 4. 9 Puzzles from The Greek Anthology 11 2.1 The Problems................................................................. 2.2 Solutions and Comments.............................................. Bibliography............................................................................. 12 15 16 Aryabhata and Other Early Indian Mathematicians 17 3.1 Pythagorean Recreations............................................... 3.2 Knowing What Each Pair Has...................................... 3.3 The Snail in the Well..................................................... Bibliography............................................................................. 18 28 31 34 Alcuin and his Propositiones 37 4.1 4.2 4.3 Alcuin.............................................................................. The Manuscripts........................................................... Managing the Text of Propositiones............................ V 38 41 43
Adventures in Recreational Mathematics vi 4.4 An Annotated Translation of Propositiones .................45 4.5 Summary and Discussions........................................... 75 Bibliography............................................................................. 82 5. The Problems of Abbot Albert 85 5.1 Summary......................................................................... 100 Bibliography................................................................................100 6. Pacioli: The First Book of MathematicalPuzzles 101 6.1 De Viribus Quantitatis.................................................... 106 6.2 Recreational Material in De Viribus Quantitatis . . . 109 Bibliography...................................................................... . . . 129 7. Pacioli’s Magic and Card Tricks 131 Bibliography................................................................................137 8. Some Early Topological Puzzles 139 The Chinese Wallet or Flick-Flack or Jacob’s Ladder................................................................ 140 8.2 The Alliance and Victoria Puzzle..................................143 8.3 Solomon’s Seal or AfricanBeads Puzzle........................ 144 8.4 The Cherries Puzzle ........................................................ 146 8.5 Six-Piece Burrs................................................................. 149 8.6 Borromean Rings.............................................................. 151 8.7 Chinese Rings.................................................................... 153 8.8 Puzzle
Grills........................................................................154 8.9 Conclusions........................................................................156 Bibliography................................................................................156 8.1 Interlude: Finding a Sardinian Maze 158 Part II. New Ideas about Old Puzzles 163 9. A Legacy of Camels 165 9.1 Some History................................................................... 166 9.2 Analysis of the 17 Camels Problem................................ 170 9.3 Analysis of the 13 Camels Problem................................ 174 Bibliography................................................................................179
Contents 10. Heronian Triangles vii 183 10.1 Determination of Pythagorean triples.......................... 184 10.2 Determination of Heronian triples................................. 185 Bibliography................................................................................187 11. The Ass andMule Problem 189 11.1 Analysis of the Original Problem................................. 190 11.2 Doslić’s Variation............................................................. 191 11.3 Another Simpler Variation.............................................. 193 Bibliography..................... 195 12. How to Count Your Chickens 197 12.1 Answers............................................................................209 Bibliography............................................................................... 210 13. The Monkey and the Coconuts 211 13.1 Determinate Versions...................................................... 212 13.2 Indeterminate Versions................................................... 218 13.3 A General Solution......................................................... 224 13.4 Other Variations............................................................ 230 13.5 Solutions and Some Comments................................... 232 Bibliography............................................................................... 233 14. Two River Crossing Problems 235 14.1 De Fontenay’s Generalization....................................... 237 14.2 Dudeney’s Solution......................................................... 240 14.3 Improved
Solutions......................................................... 241 14.4 Proof of Optimality......................................................... 244 14.5 Missionaries and Cannibals ......................................... 249 14.6 Other Cultures................................................................ 251 Bibliography............................................................................... 252 15. Sharing Barrels 15.1 15.2 15.3 15.4 255 The Barrels Problem...................................................... 256 Integral Triangles............................................................ 256 Triangular Coordinates...................................................257 The Number of Integral Triangles................................ 258
viii Adventures in Recreational Mathematics 15.5 The Number of Incongruent Integral Triangles .... 259 15.6 Relation to Partitions .................................................... 260 15.7 Other Versions ................................................................ 262 15.8 Fair Division of the First kn Integersinto к Parts . . 265 Bibliography............................................................................... 267 16. Vanishing Area Paradoxes 269 16.1 Early Examples................................................................ 274 Bibliography............................................................................... 278 Appendix A: Ancient and Important Sources 281 A.l Bibliography of Early Work........................................... 281 A.2 Sources Project................................................................. 295 A.3 Open Problems................................................................. 297
|
| any_adam_object | 1 |
| author | Singmaster, David 1939- |
| author_GND | (DE-588)1106839536 |
| author_facet | Singmaster, David 1939- |
| author_role | aut |
| author_sort | Singmaster, David 1939- |
| author_variant | d s ds |
| building | Verbundindex |
| bvnumber | BV047899457 |
| classification_rvk | SN 300 |
| ctrlnum | (OCoLC)1369565792 (DE-599)BVBBV047899457 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01452nam a2200373 cc4500</leader><controlfield tag="001">BV047899457</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230130 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">220328s2022 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789811226007</subfield><subfield code="9">978-981-122-600-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1369565792</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047899457</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SN 300</subfield><subfield code="0">(DE-625)143331:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Singmaster, David</subfield><subfield code="d">1939-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1106839536</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Adventures in recreational mathematics</subfield><subfield code="n">1</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 300 Seiten</subfield><subfield code="b">Illustrationen</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="1" ind2=" "><subfield code="a">...</subfield><subfield code="v">21,1</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Problem solving in mathematics and beyond</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Bandzählung in der Serie fingiert</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Unterhaltungsmathematik</subfield><subfield code="0">(DE-588)4124357-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Unterhaltungsmathematik</subfield><subfield code="0">(DE-588)4124357-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV047899450</subfield><subfield code="g">1</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">...</subfield><subfield code="v">21,1</subfield><subfield code="w">(DE-604)BV044751519</subfield><subfield code="9">21,1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</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=033281405&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033281405</subfield></datafield></record></collection> |
| id | DE-604.BV047899457 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T19:31:42Z |
| institution | BVB |
| isbn | 9789811226007 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033281405 |
| oclc_num | 1369565792 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | xiv, 300 Seiten Illustrationen |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | World Scientific |
| record_format | marc |
| series | ... |
| series2 | ... Problem solving in mathematics and beyond |
| spellingShingle | Singmaster, David 1939- Adventures in recreational mathematics ... Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| subject_GND | (DE-588)4124357-2 |
| title | Adventures in recreational mathematics |
| title_auth | Adventures in recreational mathematics |
| title_exact_search | Adventures in recreational mathematics |
| title_full | Adventures in recreational mathematics 1 |
| title_fullStr | Adventures in recreational mathematics 1 |
| title_full_unstemmed | Adventures in recreational mathematics 1 |
| title_short | Adventures in recreational mathematics |
| title_sort | adventures in recreational mathematics |
| topic | Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| topic_facet | Unterhaltungsmathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033281405&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV047899450 (DE-604)BV044751519 |
| work_keys_str_mv | AT singmasterdavid adventuresinrecreationalmathematics1 |