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93.30 A simple combinatorial proof of the theorem of the means

Published online by Cambridge University Press:  01 August 2016

Robert M. Young
Robert M. Young*
Affiliation:
Department of Mathematics, Oberlin College, Oberlin, OH 44074, USA
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Information
The Mathematical Gazette , Volume 93 , Issue 527 , July 2009 , pp. 300 - 301
Copyright
Copyright © The Mathematical Association 2009

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References

1. Bullen, P.S., Mitrinovic, D.S. and Vasic, P.M., Means and their inequalities, Reidel, Dordrecht, 1988.CrossRefGoogle Scholar
2. Euclid, , The thirteen books of Euclid’s Elements (translated by SirHeath, Thomas), Cambridge University Press, 1908.Google Scholar
3. Cauchy, A.L., Cours d’Analyse de l’École Polytechnique. I re partie. Analyse algébrique, Paris, 1821.Google Scholar
4. Bernoulli, J., Propositiones arithmeticae de seriebus infinitis (1689). Reprinted in Die Werke von Jacob Bernoulli, vol. 4, Birkhauser, Basel, 1993.Google Scholar
5. Child, J.M., The geometrical lectures of Isaac Barrow, Open Court, Chicago and London, 1916.Google Scholar
6. Young, R.M., A serendipitous path to a famous inequality, Math. Gaz. 92 (2008) pp. 50–54.CrossRefGoogle Scholar