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Part of the book series: Culture and History of Mathematics ((CHMATH,volume 3))

Abstract

The subject of partial fractions is usually confined to the standard calculus course and is viewed as a useful albeit mundane tool. This paper looks at partial fractions starting with Euler. We then consider some of the very surprising and appealing discoveries made by Ramanujan.

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References

  1. G.E. Andrews and B. Berndt, Ramanujan’s Lost Notebook, Part I, Springer, Berlin (to appear).

    Google Scholar 

  2. P. Dienes, The Taylor Series, Dover, New York, 1957.

    MATH  Google Scholar 

  3. L. Euler, Introductio in Analysin Infinitorum, Vol. 1, Lausanne, 1748.

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  4. G. Gasper and M. Rahman, Basic Hypergeometric Series, Encycl. Math and Its Appl., G.-C. Rota, ed., Vol. 35, Cambridge University Press, Cambridge, 1990.

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  5. S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Intro by G. E. Andrews, Narosa, New Delhi, 1987.

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  6. J. Tannery and J. Molk, Éléments de la Théorie des fonctions Elliptiques, Vol. III, Gauthier-Villars, Paris, 1896 [reprinted: Chelsea, New York, 1972].

    MATH  Google Scholar 

  7. G.N. Watson, The final problem: an account of the mock theta functions, J. London Math. Soc, 11(1936), 55–80.

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Gérard G. Emch R. Sridharan M. D. Srinivas

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© 2005 Hindustan Book Agency

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Andrews, G.E. (2005). Ramanujan and Partial Fractions. In: Emch, G.G., Sridharan, R., Srinivas, M.D. (eds) Contributions to the History of Indian Mathematics. Culture and History of Mathematics, vol 3. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-25-5_10

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