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
G.E. Andrews and B. Berndt, Ramanujan’s Lost Notebook, Part I, Springer, Berlin (to appear).
P. Dienes, The Taylor Series, Dover, New York, 1957.
L. Euler, Introductio in Analysin Infinitorum, Vol. 1, Lausanne, 1748.
G. Gasper and M. Rahman, Basic Hypergeometric Series, Encycl. Math and Its Appl., G.-C. Rota, ed., Vol. 35, Cambridge University Press, Cambridge, 1990.
S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Intro by G. E. Andrews, Narosa, New Delhi, 1987.
J. Tannery and J. Molk, Éléments de la Théorie des fonctions Elliptiques, Vol. III, Gauthier-Villars, Paris, 1896 [reprinted: Chelsea, New York, 1972].
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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© 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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DOI: https://doi.org/10.1007/978-93-86279-25-5_10
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-58-6
Online ISBN: 978-93-86279-25-5
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