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Developing quadrature themes

Published online by Cambridge University Press:  13 October 2021

John D. Mahony
John D. Mahony*
Affiliation:
5 Bluewater View, Mt. Pleasant, Christchurch 8081, New Zealand, e-mail: johndmahony@gmail.com

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Readers will most likely be aware of the works of Johann Sebastian Bach in the field of music, particularly of his Goldberg variations and the changes that can be rung, wherein aesthetically appealing alterations to structure produce a raft of colourful sounding themes. Similarly in the field of quadrature it is possible to revisit and re-establish well-known formulae by developing variations on the theme of a three-point interpolating quadratic formed to represent a function that is to be integrated.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 105 , Issue 564 , November 2021, pp. 458 - 466
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Copyright
© The Mathematical Association 2021

References

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