Tytuł:

The art of conjecturing (Ars Conjectandi). On the historical origin of normal distribution

Tytuł publikacji grupowej:

Didactics of Mathematics

Tytuł odmienny:

Rodowód rozkładu normalnego

Autor:

Laudański, Ludomir

Temat i słowa kluczowe:

binomial distribution ; Errors Theory ; normal distribution

Opis:

Didactics of Mathematics, 2010, Nr 7 (11), s. 67-79

Abstrakt:

The paper offers a range of historic investigations regarding the normal distribu-tion, frequently also referred to as the Gaussian distribution. The first one is the Error Analysis, the second one is the Probability Theory with its old exposition called the Theory of Chance. The latter regarded as the essential, despite the fact that the origin of the Error Theory can be associated with Galileo Galilei and his Dialogo sopra i due massimi sistemi del mondo Tolemaico e Copernico. However, the normal distribution regarded in this way was not found before 1808-9 as a result of the combined efforts of Robert Adrain and his Researches Concerning Isotomous Curves on the one hand and Carl F. Gauss and his Theoria motus corporum coelestium in sectionibus conicis Solem ambienitum on the other. While considering the Theory of Chance – it is necessary to acknowledge The Doctrine of Chances of Abraham de Moivre – 1733 and the proof contained in this work showing the normal distribution derived as the liming case of the binomial distribution with the number of Bernoulli trials tending to infinity. Therefore the simplest conclusion of the paper is: the normal distribution should be rather attributed to Abraham de Moivre than to Carl Friedrich Gauss

Wydawca:

Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu

Miejsce wydania:

Wrocław

Data wydania:

2010

Typ zasobu:

artykuł

Format:

application/pdf

Język:

eng

Powiązania:

Didactics of Mathematics

Prawa:

Wszystkie prawa zastrzeżone (Copyright)

Prawa dostępu:

Dla wszystkich w zakresie dozwolonego użytku

Lokalizacja oryginału:

Uniwersytet Ekonomiczny we Wrocławiu