Developing quadrature themes. Issue 564 (November 2021)

• Record Type: Journal Article
• Authors: Mahony, John D.
• Is Part Of: Mathematical gazette. Volume 105:Issue 564(2021)
• Page Start: 458
• Page End: 466
• Publication Date: 2021-11
• Subjects: Mathematics -- Periodicals; Mathématique; Mathematik; Mathematics; Periodicals; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); Zeitschrift; Online-Publikation; 510
• DOI: 10.1017/mag.2021.113
• Languages: English
• ISSNs: 0025-5572

Abstract

Abstract : 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.