Abueg, Luisito (2016): A historical walkthrough with L’Hospital, from indeterminates to applied problems in mathematics.
Preview |
PDF
MPRA_paper_79011.pdf Download (508kB) | Preview |
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.
Item Type: | MPRA Paper |
---|---|
Original Title: | A historical walkthrough with L’Hospital, from indeterminates to applied problems in mathematics |
English Title: | A historical walkthrough with L’Hospital, from indeterminates to applied problems in mathematics |
Language: | English |
Keywords: | calculus, L’Hospital’s rules, mathematical history, mean value theorem, logarithmic mean, mathematical statistics, recreational mathematics |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools |
Item ID: | 79011 |
Depositing User: | Mr Luisito Abueg |
Date Deposited: | 09 May 2017 06:27 |
Last Modified: | 30 Sep 2019 09:02 |
References: | Balk, B [2004] “Decompositions of Fisher indexes”. Economics Letters 82:107-113. Bartle, R, and D Sherbert [2011] Introduction to real analysis. 4e. New Jersey, USA: John Wiley and Sons, Inc. Bentley, P [2016] The invention of numbers. London, United Kingdom: Cassell Illustrated. Boas, R [1986] "Counterexamples to L'Hopital's rule". American Mathematical Monthly 9:644-645. Boyer, C, and U Merzbach [1989] A history of mathematics. 2e. Canada: John Wiley and Sons. Danao, R [2001] Introductory mathematical economics, volume 1: static models. Quezon City: University of the Philippines Press. de Souza, P, and Silva, J (eds) [2003] Berkeley problems in mathematics. 2e. New York, USA: Springer Science+Business Media. Dumagan, J [2013] “Relative price effects on decompositions of change in aggregate labor productivity”. PIDS Discussion Paper Series, 2013-44 (September). Dumagan, J, and B Balk [2016] “Dissecting aggregate output and labour productivity change: a postscript on the role of relative prices”. Journal of Productivity Analysis 45:117-119. Hogg, R, J McKean, and A Craig [2013] Introduction to mathematical statistics. 7e. Massachusetts, USA: Pearson Prentice Hall. Leithold, L [1995] The calculus 7. 7e. New York, USA: Harper and Row Publishers. L'Hospital, G [1696] L'analyse des infiniment petits pour l'intelligence des lignes courbes. Maclaurin, C [1742] Theory of fluxions. Rickert, N [1968] "A calculus counterexample". American Mathematical Monthly 75:166. Sydsæter, K, P Hammond, and A Strøm [2013] Essential mathematics for economic analysis with MyMathLab Global access card. 4e. England, UK: FT Prentice Hall. Wade, W [2010] An introduction to analysis. 4e. New Jersey, USA: Pearson Prentice Hall. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/79011 |
Available Versions of this Item
- A historical walkthrough with L’Hospital, from indeterminates to applied problems in mathematics. (deposited 09 May 2017 06:27) [Currently Displayed]