The Elements of the Differential and Integral Calculus

THIS book seems well adapted to serve as a text-book for a first course in the differential and integral calculus. Fourteen chapters deal with the differential calculus and its applications to maxima and minima values, expansions in series, and the geometry of plane curves. The fundamental ideas of integration are very fully explained, the second fourteen chapters being devoted to the integral calculus and its application to finding plane areas, lengths of curves, areas of sur faces, and volumes. In a short chapter dealing with approximate integration, the first and second elliptic integrals are introduced, and three-figure tables for F(κ, φ) and E(κ, φ) are given. A few elementary chapters on mechanics have been introduced, so that the student may be able to view from the mechanical, rather than from the purely mathematical, side the principles of attraction, centre of gravity, and moment of inertia. Numerous exercises, with answers, are given witheach chapter. The diagrams are clear, and the type is excellent.The Elements of the Differential and Integral Calculus.By D. F. Campbell. Pp. x + 364. (New York: The Macmillan Co.; London: Macmillan and Co., Ltd., 1904.) Price 7s. 6d.