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On Euler’s Transformation

Published online by Cambridge University Press:  03 November 2016

J. Leech
J. Leech*
Affiliation:
Department of Computing Science, University of Stirling
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Extract

As A. M. Cohen’s paper has reminded me, Euler’s transformation for summation of the slowly convergent alternating series

u0 − u1 + u2 − u3 + u4 − …

is commonly derived by the following method, without enquiring into its validity which is distinctly dubious.

Type
Research Article
Information
The Mathematical Gazette , Volume 55 , Issue 394 , December 1971 , pp. 400 - 404
Copyright
Copyright © Mathematical Association 1971

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References

[1] Cohen, A. M.: Introducing numerical analysis and number theory at school. Math. Gaz., LIII (1969), 41–45.CrossRefGoogle Scholar