Teaching Calculus with Original Historical Sources – Γ Function

• Autorzy: Moc O.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

Teaching calculus with original historical sources has an important advantage. It is convenient to observe, how a new mathematical idea grows up in the mind of the author and it is convenient to make a similar image in the mind of students. It is possible to watch causes, which lead to the creations of the term. It is very important too, that students understand the way of thinking of the author, and the students can master work methods, which are used by creative mathematicians. In the following text I would like to talk about the historical development of the function Γ. I mention only some aspects, because this paper is too short for a detailed description. I choose this topic, because I have an auspicious reference from students of PF UJEP, who were visiting my lectures last year.

Słowa kluczowe

EN

fractional calculus; teaching; function Γ

PL

rachunek różniczkowy; nauczanie; funkcja Γ

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 165--171
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Moc O.

• Faculty of Social and Economie Studies, J. E. Purkině University, Ústí nad Labem, Czech Republic

Bibliografia

• [1] E. Artin, Einführung in die Theorie der Gammafunktion. Leipzig, 1931.
• [2] L. Euler, De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt. Opera Omnia, vol. I14, Leipzig-Berlin, 1924.
• [3] L. Euler, On transcendental progression that is, those whose general terms cannot be given algebraically. Comentarii academiae scientiarum Petropolitanae 5 (1730/1). Translated by S.G. Langton, University of San Diego, 1999.
• [4] C. F. Gauss, Allgemeine Untersuchungen über die unendliche Reihe. Springer, Berlin 1888.