Winning ways for your mathematical plays 2
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
CRC Press
2018
|
| Ausgabe: | Second edition, first issued in hardback |
| Online-Zugang: | Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV048642438 | ||
| 003 | DE-604 | ||
| 005 | 20230426 | ||
| 007 | t| | ||
| 008 | 230111s2018 xx a||| |||| 00||| eng d | ||
| 020 | |a 9781138427570 |9 978-1-138-42757-0 | ||
| 035 | |a (OCoLC)1378497098 | ||
| 035 | |a (DE-599)BVBBV048642438 | ||
| 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 Berlekamp, Elwyn R. |d 1940-2019 |e Verfasser |0 (DE-588)123359732 |4 aut | |
| 245 | 1 | 0 | |a Winning ways for your mathematical plays |n 2 |c Elwyn R. Berlekamp ; John H. Conway ; Richard K. Guy |
| 250 | |a Second edition, first issued in hardback | ||
| 264 | 1 | |a London [u.a.] |b CRC Press |c 2018 | |
| 300 | |a xvii, S. 277 - 473 |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a Conway, John Horton |d 1937-2020 |e Verfasser |0 (DE-588)119529289 |4 aut | |
| 700 | 1 | |a Guy, Richard K. |d 1916-2020 |e Verfasser |0 (DE-588)124655254 |4 aut | |
| 773 | 0 | 8 | |w (DE-604)BV048642414 |g 2 |
| 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=034017345&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034017345 | |
Datensatz im Suchindex
| _version_ | 1819670039822860288 |
|---|---|
| adam_text | Contents 9 Preface to Second Edition xiii Preface xiv Change of Heart xvii If You Can’t Beat ’Em, Join ’Em! 277 All the King’s Horses................................................................................................................. 277 We Can Join Any Games........................................................................................................ 278 How Remote Is a Horse?........................................................................................................... 278 What If the First Horse to Get Stuck Wins?......................................................................... 281 A Slightly Slower Join.............................................................................................................. 283 Moving Horses Impartially........................................................................................................ 283 Cutting Every Cake ................................................................................................................. 284 Eatcakes...................................................................................................................................... 286 When to Put Your Money on the Last Horse ...................................................................... 286 Slow Horses Join the Also-Rans...............................................................................................286 Let Them Eat Cake ................................................................................................................. 289 All the King’s Horses on a
Quarter-Infinite Board................................................................ 292 Cutting Yom Cakes and Eating Them.................................................................................. 292 References and Further Reading.............................................................................................. 298 10 Hot Battles Followed by Cold Wars 299 Cold Games - Numbers Are Still Numbers............................................................................ 300 Hot Games - The Battle Is Joined !........................................................................................ 300 Tolls, Timers and Tallies........................................................................................................... 301 Which Is the Best Option? .....................................................................................................303 Hot Positions............................................................................................................................. 304 Cold Positions .......................................................................................................................... 304 Tepid Positions.......................................................................................................................... 306 A Tepid Game .......................................................................................................................... 308 Select Boys and Girls................................................................................................................. 310
Mrs. Grundy............................................................................................................................. 310 How to Play Misère Unions of Partizan Games................................................................... 312 Urgent Unions (Shotgun Weddings?)......................................................................................312 Predeciders - Overriders and Suiciders.................................................................................. 312 ix
x Contents Հ2 Falada............................................................................................................................................... 312 Two More Falada Games ............................................................................................................. 320 Baked Alaska................................................................................................................................... 321 A Felicitous Falada Field .............................................................................................................324 The Rules for Tallies on Infinite Tolls ...................................................................................... 325 Time May Be Shorther than You Think!................................................................................... 326 11 Games Infinite and Indefinite 327 Infinite Enders................................................................................................................................329 The Infinite Ordinal Numbers...................................................................................................... 329 Other Numbers................................................................................................................................330 Infinite Nim...................................................................................................................................... 330 The Infinite Sprague-Grundy and Smith Theories................................................................ 333 Some Superheavy
Atoms............................................................................................................ 334 Fixed, Mixed and Free................................................................................................................... 335 Onsides and Offsides, Upsums and Downsums.......................................................................... 336 Stoppers............................................................................................................................................ 337 on, off and dud................................................................................................................................. 337 How Big Is on?......................................................................................................................................... 338 It’s Bigger than All of Them!...................................................................................................... 338 Sidling Towards a Game................................................................................................................ 338 Sidling Picks Sides......................................................................................................................... 340 Stoppers Have Only One Side...................................................................................................... 340 ’Tis!-’Tis n!-’Tis!-’Tis n!-............................................................................................................. 342 Loopy
Hackenbush......................................................................................................................... 343 Disentangling Loopy Hackenbush................................................................................................ 343 Loopily Infinite Hackenbush......................................................................................................... 344 Sisyphus............................................................................................................................................ 346 Living with Loops ......................................................................................................................... 348 Comparing Loopy Games............................................................................................................. 348 The Swivel Chair Strategy............................................................................................................. 349 Stoppers Are Nice ......................................................................................................................... 350 Plumtrees Are Nicer!...................................................................................................................... 353 Taking Care of Plumtrees............................................................................................................. 354 Working With Upsums and Downsums.......................................................................................355 on, off and
hot......................................................................................................................................... 356 A Summary of Some Sum Properties.......................................................................................... 357 The House of Cards ...................................................................................................................... 357 The Degree of Loopiness................................................................................................................ 361 Classes and Varieties...................................................................................................................... 362 No Highway...................................................................................................................................... 364 Backsliding Toads-and-Frogs ...................................................................................................... 367 Bach’s Carousel............................................................................................................................... 369 Getting on in Checkers ................................................................................................................ 370 Proof of the Sidling Theorem...................................................................................................... 371 Answer to Exercise One............................................................................................................ 374 tis and
tisn................................................................................................................................................374 upon ..........................................................................................................................................................375
V Content։ xi Backsliding Toads-and-Frogs .................................................................................................. 375 KOsin Go................................................................................................................................... 377 References and Further Reading...............................................................................................377 12 Games Eternal - Games Entailed 379 Fair Shares and Varied Pairs .................................................................................................. 379 How Soon Can You Win?........................................................................................................381 There May Be Open Positions (O-Positions)......................................................................... 382 Adders-and-Ladders................................................................................................................. 386 Just How Loopy Can You Get?.............................................................................................. 391 Corrali Automotive Betterment Scheme............................................................................... 391 Sharing Out Other Kinds of Nut........................................................................................... 393 Fair Shares and Unequal Partners............................................................................................394 Sweets and Nuts, and Maybe a Date? .................................................................................. 395 The
Additional Subtraction Games........................................................................................ 395 Horsefly...................................................................................................................................... 395 Selective and Subselective Compounds of Impartial Games ..................................................396 Entailing Moves.......................................................................................................................... 396 Sunny and Loony Positions.....................................................................................................397 Calculating with Entailed Values............................................................................................398 Nim with Entailing Moves....................................................................................................... 400 Goldbach’s Nim.......................................................................................................................... 401 Wyt Queens with Trains...........................................................................................................402 Adding Tails to Prim and Dim.............................................................................................. 404 Complimenting Moves.............................................................................................................. 405 On-the-Rails ............................................................................................................................. 407 De Bono’s
L-G ames ................................................................................................................. 408 Proving the Outcome Rules for Loopy Positions................................................................... 408 Fair Shares and Unequal Partners........................................................................................... 410 Were Your Ways Winning Enough?........................................................................................ 410 Did You Move First in Horsefly?........................................................................................... 411 References and Further Reading.............................................................................................. 412 13 Survival in the Lost World 413 Misere Nim................................................................................................................................ 413 Reversible Moves....................................................................................................................... 415 The Endgame Proviso..............................................................................................................416 The Awful Truth....................................................................................................................... 416 What’s Left of the Old Rules?..................................................................................................417 As Easy as Two and
Two?........................................................................................................418 The Misère Form of Grundy’s Game..................................................................................... 419 Animals and Their Genus........................................................................................................421 What Can We With the Genus? ........................................................................................... 423 Firm, Fickle and Tame..............................................................................................................423 Which Animals are Tame........................................................................................................... 424 ... and Which are Restive?........................................................................................................425 Some Tame Animals in the Good Child’s Zoo...................................................................... 426 Misère Wyt Queens ................................................................................................................. 426
xii Contents Փ Jelly Beans and Lemon Drops.................................................................................................. 427 Stalking Adders and Taking Squares......................................................................................429 “But What if They’re Wild?” Asks the Bad Child............................................................. 430 Misère Kayles............................................................................................................................. 431 The Noah’s Ark Theorem........................................................................................................ 432 The Half-Tame Theorem........................................................................................................... 435 Guiles......................................................................................................................................... 435 Dividing Rulers.......................................................................................................................... 436 Dawson, Officers, Grundy........................................................................................................ 438 All Subtraction Games Reduce to Nim.................................................................................. 442 Prim and Dim .......................................................................................................................... 442 Proof of the Noah’s Ark Theorem............................................................................................443
Misère Octal Games............................................................................................................. 444 Notes ......................................................................................................................................... 444 Stop Press: Even More Games are Tameable!...................................................................... 446 Glossary 453 Index 455
|
| any_adam_object | 1 |
| author | Berlekamp, Elwyn R. 1940-2019 Conway, John Horton 1937-2020 Guy, Richard K. 1916-2020 |
| author_GND | (DE-588)123359732 (DE-588)119529289 (DE-588)124655254 |
| author_facet | Berlekamp, Elwyn R. 1940-2019 Conway, John Horton 1937-2020 Guy, Richard K. 1916-2020 |
| author_role | aut aut aut |
| author_sort | Berlekamp, Elwyn R. 1940-2019 |
| author_variant | e r b er erb j h c jh jhc r k g rk rkg |
| building | Verbundindex |
| bvnumber | BV048642438 |
| classification_rvk | SN 300 |
| ctrlnum | (OCoLC)1378497098 (DE-599)BVBBV048642438 |
| discipline | Mathematik |
| edition | Second edition, first issued in hardback |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01394nam a2200325 cc4500</leader><controlfield tag="001">BV048642438</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230426 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">230111s2018 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781138427570</subfield><subfield code="9">978-1-138-42757-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1378497098</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV048642438</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">Berlekamp, Elwyn R.</subfield><subfield code="d">1940-2019</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123359732</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Winning ways for your mathematical plays</subfield><subfield code="n">2</subfield><subfield code="c">Elwyn R. Berlekamp ; John H. Conway ; Richard K. Guy</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition, first issued in hardback</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London [u.a.]</subfield><subfield code="b">CRC Press</subfield><subfield code="c">2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xvii, S. 277 - 473</subfield><subfield code="b">Illustrationen, Diagramme</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="700" ind1="1" ind2=" "><subfield code="a">Conway, John Horton</subfield><subfield code="d">1937-2020</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119529289</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Guy, Richard K.</subfield><subfield code="d">1916-2020</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)124655254</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV048642414</subfield><subfield code="g">2</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=034017345&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:BVB01-034017345</subfield></datafield></record></collection> |
| id | DE-604.BV048642438 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T09:39:35Z |
| institution | BVB |
| isbn | 9781138427570 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034017345 |
| oclc_num | 1378497098 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | xvii, S. 277 - 473 Illustrationen, Diagramme |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | CRC Press |
| record_format | marc |
| spellingShingle | Berlekamp, Elwyn R. 1940-2019 Conway, John Horton 1937-2020 Guy, Richard K. 1916-2020 Winning ways for your mathematical plays |
| title | Winning ways for your mathematical plays |
| title_auth | Winning ways for your mathematical plays |
| title_exact_search | Winning ways for your mathematical plays |
| title_full | Winning ways for your mathematical plays 2 Elwyn R. Berlekamp ; John H. Conway ; Richard K. Guy |
| title_fullStr | Winning ways for your mathematical plays 2 Elwyn R. Berlekamp ; John H. Conway ; Richard K. Guy |
| title_full_unstemmed | Winning ways for your mathematical plays 2 Elwyn R. Berlekamp ; John H. Conway ; Richard K. Guy |
| title_short | Winning ways for your mathematical plays |
| title_sort | winning ways for your mathematical plays |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034017345&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV048642414 |
| work_keys_str_mv | AT berlekampelwynr winningwaysforyourmathematicalplays2 AT conwayjohnhorton winningwaysforyourmathematicalplays2 AT guyrichardk winningwaysforyourmathematicalplays2 |