PREHISTORY OF THE INFINITESIMAL CALCULUS

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

PREHISTORY OF THE INFINITESIMAL CALCULUS

Popis výsledku v původním jazyce

The discovery of infinitesimal calculus (one of the most important products of human spirit of all times) is usually attributed to English mathematician and physicist Newton and to German mathematician and philosopher Leibniz. However, the problems of measure of change and of limits had been approached and pondered upon by a range of scholars long before them in the past. This article deals with the developments of this issue from the ancient Greek scholar Archimedes who (although ancient Greeks were scared stiff of infinity) probably lay the foundations of integral calculus by the exhaustion method. In Middle Ages, the considerations of infinitely small quantities caught the eyes of Nemorarius, Bradwardin, and Oresme. At the turn of the 16th and 17th centuries the considerations of infinitesimal calculus were on agenda of Kepler and Galilei. And then there followed the era of Newton and Leibnitz who realized that differential calculus and integral calculus are mutually opposing procedures.

Název v anglickém jazyce

PREHISTORY OF THE INFINITESIMAL CALCULUS

Popis výsledku anglicky

The discovery of infinitesimal calculus (one of the most important products of human spirit of all times) is usually attributed to English mathematician and physicist Newton and to German mathematician and philosopher Leibniz. However, the problems of measure of change and of limits had been approached and pondered upon by a range of scholars long before them in the past. This article deals with the developments of this issue from the ancient Greek scholar Archimedes who (although ancient Greeks were scared stiff of infinity) probably lay the foundations of integral calculus by the exhaustion method. In Middle Ages, the considerations of infinitely small quantities caught the eyes of Nemorarius, Bradwardin, and Oresme. At the turn of the 16th and 17th centuries the considerations of infinitesimal calculus were on agenda of Kepler and Galilei. And then there followed the era of Newton and Leibnitz who realized that differential calculus and integral calculus are mutually opposing procedures.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50200 - Economics and Business

Projekt

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Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

The 12th International Days of Statistics and Economics

ISBN

978-80-87990-14-8

ISSN

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e-ISSN

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Počet stran výsledku

10

Strana od-do

297-306

Název nakladatele

Melandrium

Místo vydání

Slaný

Místo konání akce

Praha

Datum konání akce

6. 9. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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