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PREHISTORY OF THE INFINITESIMAL CALCULUS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F01801376%3A_____%2F18%3AN0000017" target="_blank" >RIV/01801376:_____/18:N0000017 - isvavai.cz</a>

  • Result on the web

    <a href="https://msed.vse.cz/msed_2018/sbornik/toc.html" target="_blank" >https://msed.vse.cz/msed_2018/sbornik/toc.html</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    PREHISTORY OF THE INFINITESIMAL CALCULUS

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    50200 - Economics and Business

Result continuities

  • Project

  • Continuities

    N - Vyzkumna aktivita podporovana z neverejnych zdroju

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    The 12th International Days of Statistics and Economics

  • ISBN

    978-80-87990-14-8

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    297-306

  • Publisher name

    Melandrium

  • Place of publication

    Slaný

  • Event location

    Praha

  • Event date

    Sep 6, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article