(1) Empirical Formulas (2) Differential and Integral Calculus (3) A First Course in the Calculus (4) Dynamics Part II (5) Solid Geometry, including the Mensuration of Surfaces and Solids

Abstract

(1) ONE of the most important activities of the practical, as well as of the theoretical, man of science is the discovery of laws. Given a number of observations, the problem is to correlate them in the form of a single analytical expression. The basis of such discovery is the recognition of a curve as being one the equation of which is known. But, strictly speaking, there is only one curve that is really recognisable, and this is the straight line. A piece of a circle can easily be mistaken for a piece of an ellipse, and a parabola for a catenary; but if a sufficiently long piece of a curve is straight, then the curve can be pronounced to be a straight line. If, then, it is possible to plot the results of observation in such a way that the resulting points lie on a straight line (even if there are some casual, experimental errors and consequent deviations), then we can at once deduce the law.

(1) Empirical Formulas.

By Prof. Theodore R. Running. (Mathematical Monographs, No. 19.) Pp. 144. (New York: John Wiley and Sons, Inc.; London: Chapman and Hall, Ltd., 1917.) Price 7s. net.

(2) Differential and Integral Calculus.

By Dr. H. B. Phillips. Differential. Pp. v + 162. Integral. Pp. v + 194. (New York: John Wiley and Sons, Inc.; London: Chapman and Hall, Ltd., 1916–17.) Price 9s. 6d. net.

(3) A First Course in the Calculus.

Part i. Powers of X. By Dr. W. P. Milne G. J. B. Westcott. (Bell's Mathematical Series.) Pp. xx + 196. (London: G. Bell and Sons, Ltd., 1918.) Price 3s. 6d.

(4) Dynamics. Part II.

By R. C. Fawdry. (Bell's Mathematical Series.) Pp. viii + 179–355 + vii. (London: G. Bell and Sons, Ltd., 1919.) Price 2s. 6d.

(5) Solid Geometry, including the Mensuration of Surfaces and Solids.

By Prof. R. S. Heath. Fourth edition. Pp. iv + 123. (London: Rivingtons, 1919.) Price 4s.