School and College Mathematics

Abstract

(1) THIS collection of examination papers will be found useful by many teachers and students, even if their work is not immediately associated with the requirements of the military authorities. The papers for the Army Qualifying Certificate include questions on more advanced arithmetic, elementary algebra and geometry, mechanics, and a little trigonometry; special attention is paid to practical methods and applications. The papers for admission are wider in scope and more difficult in character. The mathematics is divided into three "parts. The elementary papers are of a practical nature, involving principally drawing and mensuration. The intermediate papers are also practical, and include mechanics, besides some algebra, geometry, and trigonometry. The higher papers introduce in addition easy differentiation and integration. The questions are very skilfully devised, and many teachers and examiners would benefit by a perusal of this volume. (2) Mr. Willis has written an eminently useful exposition of the mathematics required by the student of wireless telegraphy. To use the language of the accompanying advertisement, the book does not presume that the student is unable to add two and two together, nor does it plunge into advanced work for which the student is quite inadequately prepared. There are chapters on logarithms and the slide rule, practical geometry and mensuration, including a little on conic sections, equations and progressions, the fundamental ideas and formulae of trigonometry, vectors with examples from statics and dynamics, and an excellent chapter on the "use of squared paper" with the beginnings of differentiation. Many examples are worked in full, others are set as exercises. The volume concludes with some useful tables.

(1) Mathematical Papers for Admission into the Royal Military Academy and the Royal Military College, for the Years 1908–17.

Edited by R. M. Milne. (London: Macmillan and Co., Ltd., 1918.) Price 7s.

(2) A Short Course in Elementary Mathematics and their Application to Wireless Telegraphy.

By S. J. Willis. Pp. 173. (London: The Wireless Press, Ltd., 1917.) Price 3s. 6d. net.

(3) Infinitesimal Calculus.

By Prof. F. S. Carey. Section i. Pp. xiii + 144 + Answers v. Price 6s. net. Section ii. Pp. x + 145–352 + Answers iv. Price 10s. 6d. net. (London: Longmans, Green, and Co., 1918.)