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Correspondence of Operands to Functions

Published online by Cambridge University Press:  03 November 2016

C. Elliott*
Affiliation:
Oundle

Extract

In an article on models of functions in the October (1908) number of the Gazette it was suggested that some knowledge of one-to-one correspondence of operands ought to be acquired by means of models before going on to the correspondence of operands to functions, and of functions to functions. In particular, it is easy and of importance to make models of some of the roots of one. It is needless to say that the order of subjects actually adopted in schools is widely different from that here suggested. It is usual to begin with the addition and multiplication of numbers, that is, with a particular kind of correspondence not of operands but of functions. Even the words function and correspondence are not met with until a comparatively late stage, and the fact is ignored that the numbers 2, 3, 4, etc., are functions, though not one-to-one functions.

Type
Research Article
Copyright
Copyright © Mathematical Association 1910

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References

* See also the work Classification and Mathematics, Part I., by C. Elliott.