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A historical walkthrough with L’Hospital, from indeterminates to applied problems in mathematics

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  • Abueg, Luisito

Abstract

A mathematical-historical revisit of the controversy of GFA L'Hospital and J Bernoulli, and related developments in the history of calculus in the seventeenth and eighteenth centuries. This paper presents some of the indeterminate forms occurring in problems in mathematics and statistics relevant to economic analysis.

Suggested Citation

  • Abueg, Luisito, 2016. "A historical walkthrough with L’Hospital, from indeterminates to applied problems in mathematics," MPRA Paper 79011, University Library of Munich, Germany, revised Apr 2016.
  • Handle: RePEc:pra:mprapa:79011
    as

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    File URL: https://mpra.ub.uni-muenchen.de/79011/1/MPRA_paper_79011.pdf
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    File URL: https://mpra.ub.uni-muenchen.de/79069/1/MPRA_paper_79011.pdf
    File Function: revised version
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    References listed on IDEAS

    as
    1. Balk, Bert M., 2004. "Decompositions of Fisher indexes," Economics Letters, Elsevier, vol. 82(1), pages 107-113, January.
    2. Jesus C. Dumagan & Bert M. Balk, 2016. "Dissecting aggregate output and labour productivity change: a postscript on the role of relative prices," Journal of Productivity Analysis, Springer, vol. 45(1), pages 117-119, February.
    3. Dumagan, Jesus C., 2013. "Relative Price Effects on Decompositions of Change in Aggregate Labor Productivity," Discussion Papers DP 2013-44, Philippine Institute for Development Studies.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    calculus; L’Hospital’s rules; mathematical history; mean value theorem; logarithmic mean; mathematical statistics; recreational mathematics;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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