(1) Elements of Geometry (2) A Foundational Study in the Pedagogy of Arithmetic (3) Constructive Text-book of Practical Mathematics (4) Algebraic Invariants (5) Plane Trigonometry and Tables

Abstract

(1) THIS is not a modified edition of the authors' well-known text-book entitled “A New Geometry for Schools.” In form, grouping, method, and to some extent, subject-matter, it differs widely from their former work. The experience gained from eleven years' teaching on modern lines has led them to certain conclusions which they embody in the present volume. To jsome extent, they revert to older methods, as, for example, in the treatment of parallels, tangents, the early theorems of the second book of Euclid, and the grouping of cognate theorems. In other respects they adopt a more radical position by introducing trigonometrical ratios and sections on solid geometry (mainly numerical) at an early stage. They have compressed an immense amount of matter into a compact form, and the array of numerical and theoretical exercises is almost alarming in its extent.

(1) Elements of Geometry.

By S. Barnard J. M. Child. Parts i.–vi. Pp. ix + 465. (London: Macmillan and Co., Ltd., 1914.) Price 4s. 6d.

(2) A Foundational Study in the Pedagogy of Arithmetic.

By Dr. H. B. Howell. xi + 328. (New York: The Macmillan Co.; London: Macmillan and Co., Ltd., 1914.) Price 5s. 6d. net.

(3) Constructive Text-book of Practical Mathematics.

By H. W. Marsh. Volume iii. Technical Geometry. Pp. xiv + 244. (New York: J. Wiley and Sons, Inc.; London: Chapman and Hall, Ltd., 1914.) Price 5s. 6d. net.

(4) Algebraic Invariants.

By Prof. L. E. Dickson. Pp. x + 100. (New York: J. Wiley and Sons, Inc.; London, Chapman and Hall, Ltd., 1914.) Price 5s. 6d. net.

(5) Plane Trigonometry and Tables.

By G. Wentworth D. E. Smith. Pp. v + 188. Trigonometric and Logarithmic Tables. By G. Wentworth and D. E. Smith. Pp. v + 104. (London: Ginn and Co., 1914.) Price 5s.