Ētahi Atu · Rārangi pānui · 8 meneti

Ngā Pukapuka Rūreti: He Rārangi Pānui

Ngā pukapuka me ngā pepa rūreti e tū ai tēnei pae, e rua tekau mā rua katoa, mai i tētahi tuhinga mō te tūmanako o te 1657 ki tētahi pukapuka ako o te 2025, me tētahi rerenga mō te take i whai tikanga ai ia mea.

Whakautu poto

Te pāngarau (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, me ngā pukapuka ako hou a Bollman, Taylor me Hunacek), te hītori (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), te ahupūngao (Bass, Small & Tse) me te pakimaero kotahi e pai ake ana i ērā katoa (Dostoevsky). Ko ngā mea katoa o tēnei pae e tū ana ki runga i tēnei whata.

tawhito rawa
Huygens, 1657
hou rawa
Hunacek, 2025
pukapuka kotahi pai rawa
Ethier, 2010
pakimaero pai rawa
The Gambler, 1866

Pāngarau

mahitauhe aha e pānuitia ai
Huygens, De Ratiociniis in Ludo Aleae1657te whakamārama tuatahi i tāia mō te tūmanako; te pūtake o te EV
Bernoulli, Ars Conjectandi1713te ture o ngā tau nui, e pōhēhētia ana e ngā pūnaha
Halmos, “Invariants of certain stochastic transformations”1939te tohu whānui tuatahi kāore he pūnaha peti e whakarerekē i te hua tūmanako
Feller, An Introduction to Probability Theory, vol. 11968te pau pūtea a te kaipetipeti, ngā hīkoi matapōkere, ngā raupapa; te pukapuka tohutoro matua
Thorp, “Optimal gambling systems for favorable games”1969āhea e āwhina ai ngā pūnaha peti (i tētahi kēmu whai painga anake) me ngā tikanga kei muri i te hua kāore-he-pūnaha
Thorp, The Mathematics of Gambling1984te rorohiko rūreti e kōrerotia ana e tōna kaihanga, me te tātai mō te nui o te peti i runga i tētahi painga
Epstein, The Theory of Gambling and Statistical Logic2013 (putanga 2)kua tātaritia ia kēmu whare petipeti; te rūreti i tōna horopaki
Ethier, The Doctrine of Chances2010te whakamārama pāngarau tino katoa o te rūreti kua tāia
Bollman, Mathematics of the Big Four Casino Table Games2021ngā peti taha, ngā wīra rerekē me te rūreti kāri, kua tātaia te utu o ia mea, me ngā mahi
Taylor, Games, Gambling, and Probability2021 (putanga 2)ngā raupapa, te peti Kelly me te pau pūtea a te kaipetipeti, hei akoranga
Bollman, Basic Gambling Mathematics2024 (putanga 2)ngā whakatairanga me ngā whakahokinga moni a ngā whare petipeti, me te hohoro o te utu a te papa hua i a ia anō mō te whare petipeti
Hunacek, Quantitative Literacy Through Games and Gambling2025he akoranga tuatahi ngāwari; tirohia tāna kī he ōrite te uara tūmanako o ia peti, e takahia ana e te peti tau e rima

Hītori

mahitauhe aha e pānuitia ai
Lablée, La Roulette, ou le Jour1801te whakaahuatanga katoa tuatahi o te kēmu, i roto i tētahi pakimaero
Barnhart, Beating the Wheel1992te hītori o te tākaro tītaha: Jagger, ngā tāngata i mua i ngā Pelayo, ngā tikanga
Schwartz, Roll the Bones2006te hītori whānui o te petipeti; te wāhi o te rūreti i roto
Kavanagh, Dice, Cards, Wheels2005te ahurea petipeti Wīwī; te Palais-Royal me ngā tāone waiariki
Marcus, American Roulette2003te past-posting e whakaahuatia ana mai i roto e tōna kaimahi rongonui rawa
Goldman, Great Gambling Scams2007Leigh i Nice, Marcus me te Ritz, kua kōrerotia anō; he hihiko, ā, he hē i ētahi meka (tirohia Te Tinihanga i te Rūreti)

Ahupūngao me te tākaro whai painga

mahitauhe aha e pānuitia ai
Bass, The Eudaemonic Pie1985te kōrero mō te rorohiko i te hū; te pukapuka rongonui pai rawa mō te ahupūngao rūreti
Small & Tse, “Predicting the outcome of roulette”2012te ahupūngao o te matapae, kua inea; ngā mea e hiahiatia ana e tētahi painga
Pearson, “On the criterion…”1900te whakamātautau chi-square, kua whakaaturia ki ngā hurihanga rūreti

Te Ahupūngao o te Wīra Rūreti

Te pakimaero

Dostoevsky, The Gambler (1866). I tuhia i roto i ngā rā 26 kia tutuki ai te rā whakamutunga o te kirimana ki te kaiwhakaputa, e tētahi kaituhi i tino nama nā te rūreti; te pōhēhē a te kaipetipeti, te pūnaha, te warawara me te whare petipeti o te tāone waiariki, mai i roto. He poto ake i ngā pukapuka rūreti katoa i runga ake nei, he pono ake i te nuinga.

Bad Homburg me ngā Whare Petipeti o ngā Tāone WaiarikiTe Roulettenburg a Dostoevsky

Ngā pukapuka rūreti pai rawa mō ia take

Mō te tātai, ko Ethier, kātahi ko Feller. Mō ngā kōrero, ko Barnhart me Bass. Mō te take e tākaro tonu ai te tangata, ko Dostoevsky. Mō te tohu e whakamutu ana i ia tautohe pūnaha, ko Halmos, ā, mō taua hua anō i te reo māmā, ko te pukapuka a Thorp o te 1984. Mō ngā mahi, ko Taylor, ko Bollman rānei. Ka tohutoro te pouaka Ngā Pūtake o ia tuhinga o tēnei pae i tēnei whata.

Ngā pātai

He pukapuka rautaki rūreti pai anō?

Kāore he mea e hoko ana i tētahi pūnaha. He upoko poto tō te pukapuka a Thorp o te 1984 mō te take e hinga ai; ka whakamārama a Epstein rāua ko Ethier i te āhua o ia pūnaha.

Ka taea e au te pānui i a Pearson, i a Huygens rānei ki hea?

Kua pau te mana pupuri o ērā e rua, ā, kei te ipurangi. He taumaha a Pearson; he poto a Huygens, ā, he māmā noa atu te pānui o tōna whakawhitinga reo.

He katakata iti

Ko ngā mea katoa o tēnei pae he kupu tāpiri ki tēnei whata.

Ko ngā mea katoa o tēnei pae he kupu tāpiri ki tēnei whata.

Ngā Puna

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Upoko 13, rūreti.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, putanga 3, 1968. Te pau pūtea a te kaipetipeti, upoko 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, 1992.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Upoko 2, rūreti.
  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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