Ƙarin bayani · Jerin karatu · minti 8

Littattafan roulette: jerin karatu

Littattafai da takardun roulette da wannan shafin ya dogara a kansu, guda ashirin da biyu, daga wata takarda ta 1657 kan tsammani zuwa wani littafin karatu na 2025, tare da jumla ɗaya kan dalilin da ya sa kowanne ke da muhimmanci.

Amsa a taƙaice

Lissafi (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, da sababbin littattafan karatu na Bollman, Taylor da Hunacek), tarihi (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), kimiyyar motsi (Bass, Small & Tse) da kuma littafin labari ɗaya da ya fi su duka (Dostoevsky). Duk abin da ke wannan shafin ya dogara ne a kan wannan shiryayye.

mafi tsufa
Huygens, 1657
mafi sabo
Hunacek, 2025
littafi ɗaya mafi kyau
Ethier, 2010
littafin labari mafi kyau
The Gambler, 1866

Lissafi

rubutushekaradalilin karanta shi
Huygens, De Ratiociniis in Ludo Aleae1657bayanin tsammani na farko da aka buga; daga nan EV ya samo asali
Bernoulli, Ars Conjectandi1713dokar manyan lambobi, wadda tsare-tsaren caca ke fahimta ba daidai ba
Halmos, “Invariants of certain stochastic transformations”1939hujja ta farko ta gaba ɗaya cewa babu tsarin caca da ke canza sakamakon da ake tsammani
Feller, An Introduction to Probability Theory, juzu'i na 11968ƙarewar jarin ɗan caca, tafiya ta kwatsam, jerin sakamako iri ɗaya; madogarar da aka saba
Thorp, “Optimal gambling systems for favorable games”1969lokacin da tsare-tsaren caca za su iya taimakawa (sai a wasan da ke ba ɗan wasa fifiko) da sharuɗɗan da ke bayan sakamakon cewa babu tsarin da ke aiki
Thorp, The Mathematics of Gambling1984kwamfutar roulette kamar yadda wanda ya ƙirƙira ta ya ba da labari, tare da lissafin nawa za a yi caca idan akwai fifiko
Epstein, The Theory of Gambling and Statistical Logic2013 (bugu na 2)an yi nazarin kowane wasan gidan caca; roulette a cikin mahallinsa
Ethier, The Doctrine of Chances2010mafi cikakken bayanin lissafi na roulette da aka buga
Bollman, Mathematics of the Big Four Casino Table Games2021cace-cacen gefe, dabarai da ba a saba gani ba da roulette na katuna, an lissafa farashinsu ɗaya bayan ɗaya, tare da atisaye
Taylor, Games, Gambling, and Probability2021 (bugu na 2)jerin sakamako iri ɗaya, cacar Kelly da ƙarewar jarin ɗan caca, an tsara su kamar kwas
Bollman, Basic Gambling Mathematics2024 (bugu na 2)tallace-tallacen gidajen caca da mayar da kuɗi, da yadda allon sakamako ke saurin biyan kuɗinsa ga gidan caca
Hunacek, Quantitative Literacy Through Games and Gambling2025kwas na farko mai sauƙi; ku duba iƙirarinsa cewa kowace caca tana da ƙimar da ake tsammani iri ɗaya, wanda cacar lambobi biyar ke karya shi

Tarihi

rubutushekaradalilin karanta shi
Lablée, La Roulette, ou le Jour1801cikakken bayanin wasan na farko, a cikin littafin labari
Barnhart, Beating the Wheel1983tarihin wasa da karkatar dabaran: Jagger, waɗanda suka gabaci iyalin Pelayo, hanyoyi
Schwartz, Roll the Bones2006tarihin caca gaba ɗaya; matsayin roulette a cikinsa
Kavanagh, Dice, Cards, Wheels2005al'adar caca ta Faransa; Palais-Royal da garuruwan maɓuɓɓugan ruwa
Marcus, American Roulette2003past-posting (sa caca bayan sakamako ya fito) kamar yadda shahararren mai yin sa ya bayyana shi daga ciki
Goldman, Great Gambling Scams2007Leigh a Nice, Marcus da Ritz an sake ba da labarinsu; mai armashi, amma da kurakurai a wasu bayanai (ku duba Zamba a roulette)

Kimiyyar motsi da wasa don samun fifiko

rubutushekaradalilin karanta shi
Bass, The Eudaemonic Pie1985labarin kwamfutar takalmi; littafi mafi kyau da kowa zai fahimta kan kimiyyar motsin roulette
Small & Tse, “Predicting the outcome of roulette”2012kimiyyar hasashe, an auna ta; abin da fifiko ke buƙata
Pearson, “On the criterion…”1900gwajin chi-square, an nuna shi a kan juye-juyen roulette

Kimiyyar motsin dabaran roulette

Littafin labarin

Dostoevsky, The Gambler (1866). An rubuta shi cikin kwanaki 26 domin cika wa'adin kwangilar mai wallafa, daga marubucin da ke cikin bashi mai zurfi saboda roulette; kuskuren ɗan caca, tsarin caca, jarabar caca da gidan caca na garin maɓuɓɓugan ruwa daga ciki. Ya fi kowane littafin roulette da ke sama gajarta, kuma ya fi yawancinsu gaskiya.

Bad Homburg da gidajen caca na garuruwan maɓuɓɓugan ruwaRoulettenburg na Dostoevsky

Mafi kyawun littattafan roulette ga kowace manufa

Don lissafi, Ethier sannan Feller. Don labarai, Barnhart da Bass. Don dalilin da ya sa mutane ke wasa duk da haka, Dostoevsky. Don hujjar da ke kawo ƙarshen kowace muhawara kan tsarin caca, Halmos, kuma don sakamako iri ɗaya cikin kalmomi masu sauƙi, littafin Thorp na 1984. Don atisaye, Taylor ko Bollman. Akwatin Majiyoyi a kowane rubutu a wannan shafin yana ambato daga wannan shiryayye.

Tambayoyi

Shin akwai littattafai masu kyau kan dabarar roulette?

Babu wanda ke sayar da tsarin caca. Littafin Thorp na 1984 yana da gajeren babi kan dalilin da ya sa suke kasawa; Epstein da Ethier sun bayyana siffar kowanne.

A ina zan iya karanta Pearson ko Huygens?

Duka biyun sun fita daga haƙƙin mallaka kuma suna kan intanet. Pearson yana da nauyi; Huygens gajere ne kuma yana da sauƙin karantawa a fassara fiye da yadda ake tsammani.

Ɗan barkwanci

Duk abin da ke wannan shafin bayanin ƙasan shafi ne ga wannan shiryayye.

Duk abin da ke wannan shafin bayanin ƙasan shafi ne ga wannan shiryayye.

Majiyoyi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Babi na 13, roulette.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, bugu na 3, 1968. Ƙarewar jarin ɗan caca, babi na XIV.
  3. Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.” Duke Mathematical Journal 5(2), 1939.
  4. Thorp, E. O. “Optimal gambling systems for favorable games.” Review of the International Statistical Institute 37(3), 1969.
  5. Thorp, E. O. The Mathematics of Gambling. Gambling Times / Lyle Stuart, 1984.
  6. Bass, T. A. The Eudaemonic Pie. Houghton Mifflin, 1985.
  7. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1983.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Babi na 2, roulette.
  9. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024.
  10. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
  11. Hunacek, M. Quantitative Literacy Through Games and Gambling. Chapman & Hall/CRC, 2025.
  12. Marcus, R. American Roulette: How I Turned the Odds Upside Down. St. Martin’s Press, 2003.
  13. Goldman, N. Great Gambling Scams. John Blake, 2007.
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