Easy Mathematics: Chiefly Arithmetic, Being a Collection of Hints to Teachers, Parents, Self-Taught Students and Adults, and Containing a Summary or Indication of Most Things in Elementary Mathematics Useful to Be Known
Easy Mathematics: Chiefly Arithmetic, Being a Collection of Hints to Teachers, Parents, Self-Taught Students and Adults, and Containing a Summary or Indication of Most Things in Elementary Mathematics Useful to Be Known
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 edition. Excerpt: ...into them, for vivid realisation, as occasion arises, and the instructed person should always be able to speak to the uninstructed person in his own language. For an instructed youth to expect workmen and others, who have not had his advantages, to appreciate his scholastic mode of expression, is barbarous, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 edition. Excerpt: ...into them, for vivid realisation, as occasion arises, and the instructed person should always be able to speak to the uninstructed person in his own language. For an instructed youth to expect workmen and others, who have not had his advantages, to appreciate his scholastic mode of expression, is barbarous, and shows a pitiful lack of sense on his part. So long as popular units exist they should be employed in the proper place: they are part of folk-lore, and are often interesting enough; it is only when they are allowed to get out of their proper place and spoil the lives of children that they are to be condemned. In arithmetic proper they are out of place. Now take multiplication. It is a little more troublesome, of course, but not much. Keep the points vertical, as before; in other words, keep the digits expressive of the same denomination under each other, i.e. the units under the units, the tenths under the tenths, etc.; then the denomination of the answer looks after itself without any trouble. For instance, multiply 30-57 by 4-3. Write it thus: 30-57 43 122-28 9-171 131-451 I need not have written the last figure of the result, for most purposes; for since the data are only given to two places of decimals, an appearance of three decimal places in the result may give a notion of spurious and deceptive accuracy, and so is often better eschewed. But this idea of approximate accuracy does not apply to results in pure mathematics, such as the properties of numbers, and things like that: it is the results of practical measurement that are not wanted to impossible accuracy, just as the price of a ship, or a railway, or a war, is not wanted closer than the nearest penny, if indeed so close. I may say, however, that when we are dealing with the...
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