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Volume 4 - Issue 72 - June 1908

Contents

Meeting Report

Research Article

  • The Geometrical Treatment of Trigonometrical Series

  • F. J. W. Whipple
  • Published online by Cambridge University Press:
    03 November 2016, pp. 273-276

  • In the standard text-books on trigonometry the object of the authors is to reduce geometry to algebra, to give geometrical proofs of a few fundamental formulae and afterwards to develop the subject on algebraic lines. When alternative geometrical proofs are given they are not often designed to illustrate the steps in the algebra. De Morgan’s Double Algebra and Hayward’s Vector Algebra may be mentioned as works in which free use is made of geometry, but the emphasis laid on the interpretation of a vector as a complex quantity makes their method appear rather advanced. The slides which I shewed to the annual meeting were intended to illustrate the

  • General Theory of Irrational Number; Integration of dy/y.

  • E. Budden
  • Published online by Cambridge University Press:
    03 November 2016, pp. 276-280

  • THERE is a perfectly natural way of arriving at the differential coefficient of ax, and the corresponding integration of dy/y, provided that the ordinary inadequate bookwork of indices is properly supplemented to include irrational indices. (This is really necessary for logarithms to be treated rigorously.) The graph of y = ax, x any real number and a positive,

Mathematical Notes

Reviews

Other

Books Received

Front Matter

Back Matter