IMathematics kunye nokuGembula, nguJohn Haigh

IMathematics kwaye, ngokukodwa, amanani-manani, ibizizifundo ezibini ezibangele iintloko eziphambili kubo bonke abafundi ngawo onke amaxesha, kodwa zizifundo ezisisiseko zokwenza izigqibo. Umntu akalulo uhlobo olukhethekileyo olunesiphiwo sokuhlalutya umthamo omkhulu wolwazi, ke ukulawula ezi kwi-intuition kuhlala kusikhokelela ekuthatheni izigqibo ezingalunganga kwixesha elide. Zininzi iincwadi ezinolwazi ezijongana nesihloko, kodwa namhlanje sifuna ukuqaqambisa, ngokulula kwazo nangokuthanda kwayo, mhlawumbi ngumsebenzi weklasikhi UJohn haigh, IMathematics kunye nokungcakaza. Ukuqala ngemibuzo elula malunga neemeko kunye nemidlalo eyaziwa ngabo bonke, siya kugcina imigaqo esisiseko elawula izicwangciso ezichanekileyo ezisuka kwelinye lawona malungu aziwayo eRoyal Statistical Society.

Zeziphi izizathu ezibangela inyani yokuba umdlali othatha amakhadi kwizikwere zeorenji ebhodini uhlala ephumelele umdlalo? Ngaba sinezinye iindlela zokufumana ibhaso echibini okanye kwilotto? Ngendlela efikelelekayo, uHaigh usinika iimpendulo kusetyenziswa ukukhula kwemathematika okuqhubeka ngokuthe ngcembe kubunzima, kunye nejika lokufunda elifikelelekayo kwaye ngaphandle kokuyeka uburharha. Ke, kuwo onke amaphepha e-393 siza kujongana nezifundo ezisusela kwi-classical stochastics ukuya kwimidlalo yethiyori.

Utshintsho ukusuka kwiindawo zokudlala ubuso ngobuso ukuya kwiinkonzo ze-intanethi yaba yinguquko xa kufikwa ekuthandeni izibalo ezisetyenziswa kwimidlalo yamathuba, kwaye abo bafuna ulwazi lokuphucula iziphumo zabo kwimidlalo yekhasino okanye ukubheja nabo baya kufumana izahluko ezinomdla kakhulu kuwe. umdla. Ngaba kulula ukuyilungisa ukuba sibheja kwibhola ekhatywayo okanye ukuba sikhetha igalufa? Ngaba zikho "iindlela zobudenge" zokuphumelela kwiroulette? Yintoni iqhinga elithi "Martingale"? Loluphi uhlobo lokubheja olufanelekileyo xa kufikwa ekwenzeni iibhonasi zediphozithi zibe nengeniso? Bubuphi ubudlelwane obukhoyo phakathi kweengxaki ezinikiweyo kunye novavanyo lomngcipheko wesiphumo esithile kumdlalo? U-Haigh usityhilela iziseko zemathematika ezixhasa iimpendulo kuyo yonke le mibuzo ngendlela ecacileyo kunye ne-didactic, kodwa ukuphepha iifomula zomlingo zokunyusa ubutyebi obuninzi kakhulu kwiwebhu.

IMathematics kunye nokungcakaza Luhlobo lwencwadi olusebenzela iinjongo ezintathu: ukwazisa, ukufundisa kunye nokonwabisa. Isahluko ngasinye sibandakanya ukuzivocavoca okuncinci ukuze oyena mfundi unomdla wokuvavanya ukuqondwa kweekhonsepthi, abeke uvavanyo lwabo olusandula ukufunyanwa kuvavanyo kwaye bamangaliswe zezona zinto ziphosakeleyo ziqhelekileyo. Kwaye kukuba uqeqesho oluncinci kulo mbandela lunokusikhokelela kwizitetimenti ezifana naleyo kuchazwe ngendlela engaqhelekanga UBernard Shaw"Ukuba ummelwane wam uneemoto ezimbini kwaye andinazo, manani esixelela ukuba sobabini sinayo enye".