The Mathematics Teacher Volume 4

The Mathematics Teacher Volume 4

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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. 1912 edition. Excerpt: ...Why should so many of the laws of nature seem to be expressed simply by our purely abstract numerical formulas? One cannot dismiss the question with the statement that we made our numbers to fit the laws, for the formulation of the laws followed centuries later than the adoption of the numerical notation. The numerical laws follow from the natural process of counting, a distinctly human device. The law of gravitation is not determined by our thinking about it, but is independent of our thought. This illustrates what I mean by the unity of science. What is simplest and most beautiful in the domain of pure mathematics, too often corresponds to the facts of nature to be accidental. I contend that it is our privilege to point out at every possible turn this coordination of number and form, of formula and physical law, of unity between the mind and nature. This is an experience of no mean moral value--to realize that our mathematical procedure is attuned to the harmony of the universe. COLUMBIA UNIVERSITY. NEW YORK CITY. ALLIGATION. BY WILLARD A. BALLOU. In consideration of the almost absolute assurance with which the authors of arithmetics have omitted the topic of alligation from their texts for the past generation or two, I will confess that it is with some timidity that I am undertaking to show that this old-fashioned, illogical process greatly simplifies many of the calculations of a special but a rapidly increasing class of men, namely the industrial chemists. You will better appreciate my timidity when I quote some of the not altogether enthusiastic references to this process by eminent mathematicians. Dr. F ench back in the eighties, after a long lifetime of work as a mathematician and educator made this apologetic remark concerning...show more

Product details

  • Paperback | 60 pages
  • 189 x 246 x 3mm | 127g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236490398
  • 9781236490391