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Note on Prof. Carslaw’s Paper

Published online by Cambridge University Press:  03 November 2016

Extract

The Editor of the Mathematical Gazette has kindly allowed me to see an advance proof of Prof. Carslaw’s paper, and I take the opportunity of making some comments both on that paper and on Dr. Jeffreys’ Tract.

Type
Research Article
Copyright
Copyright © Mathematical Association 1928

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References

page note 227 * Compare the remarks in Dr. Jeffreys’ preface to his Tract.

page note 227 † Proc. Camb. Phil. Soc. vol. 20, 1921, p. 411. In particular this paper gives a justification for Heaviside’s work quoted in § 1 of Prof. Carslaw’s paper.

page note 227 ‡ The original statement was in the Electrician (14th Deer., 1894), and it is reprinted in the Electromagnetic Theory, vol. 2 (1899) § 230, with the remark that the solution “would frighten timid readers, and perhaps some Cambridge mathematicians as well.” The sequel is rather amusing; some ten years later this challenge was taken up by the examiners for Part II of the Mathematical Tripos, who printed a question, purporting to solve Heaviside’s extension. But unluckily the answer given was wrong; as far as I know the correct solution was found first by me (using operational methods) and afterwards confirmed by Prof. Carslaw (using his own methods). These solutions are both given in the Proc. Camb. Phil. Soc. vol. 20, 1921.