The Nature and Utility of Mathematics; With the Best Methods of Instruction Explained and Illustrated

The Nature and Utility of Mathematics; With the Best Methods of Instruction Explained and Illustrated

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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. 1873 edition. Excerpt: ... but a few words is found applicable to all the classes of integral numbers. In multiplication and division, the same stri king results flow from the same cause; and General thus this simple principle, viz. the law of change utwornunv.-...., bera. in passing from one unit of value to another, is the key to all the operations in the four ground rules, whether performed on simple or denomi nate numbers. Thus, all the elementary opera control. tions of arithmetic are linked to a single prin t7ery opera-., ., ..... Mon. ciple, and that one a mere principle of arithmetical language. Who can calculate the labor, intellectual and mechanical, which may be saved by a right application of this luminous principle? 237. It should be the design of a higher T arithmetic to expand the mind of the learner over the whole science of numbers; to illustrate the most important applications, and to make manifest the connection between the science and the art. It will not answer these objects if the methods its requisite. of treating the subject are the same as in the elementary works, where science has to compromise with a want of intelligence. An elementary is not made a higher arithmetic, by Mmthm.......... i adlstlnctire merely transferring its definitions, its principles, and its rules into a larger book, in the same order and connection, and arranging under them an apparently new set of examples, though in fact constructed on precisely the same principles. 238. In the four ground rules, particularly Tion of exam (where, in the elementary works, simple exam-: , .; n, pies must 'necessarily be given, because here they are used both for illustration and practice), the examples should take a wide range, and be so selected and combined as to more

Product details

  • Paperback | 90 pages
  • 189 x 246 x 5mm | 177g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236649230
  • 9781236649232