(1) Unified Mathematics (2) Elementary Calculus (3) Mensuration for Marine and Mechanical Engineers (Second and First Class Board of Trade Examinations) (4) School Mechanics Part I School Statics

Abstract

(1) THIS text-book by three American authors is best described as an elementary mathematical mélange. It ranges over a variety of topics, but does not deal explicitly with the calculus, though the fundamental process of the latter is used. Great pains have obviously been expended on the compilation, but it can scarcely be described as an inspiring volume, and is not likely to find favour in British schools and colleges. The authors state in the preface that they desire to emphasise the fact that mathematics cannot be artificially divided into compartments with separate labels, and that they aim at showing the essential unity, harmony, and interplay between the two great fields into which mathematics may properly be divided—namely, analysis and geometry. It is to be feared that those who are to become competent mathematicians must continue to study the subject in compartments, carrying on, of course, several sections simultaneously, leaving familiarity and time to show the inter-relationship. None but the finished scholar can fully appreciate and realise the intertwining of the branches. Only those who reach the hill-tops see the harmony of the landscape and the trend of the watercourses. There are several interesting diagrams and historical references, and also a number of good examples. The volume is well got up and printed.

(1) Unified Mathematics.

By Prof. L. C. Kar-pinski Prof. Harry Y. Benedict Prof. John W. Calhoun. Pp. viii + 522. (Boston, New York, and Chicago: D. C. Heath and Co.; London: George G. Harrap and Co., Ltd., 1918.) Price 10s. 6d. net.

(2) Elementary Calculus.

By C. H. P. Mayo. (With answers.) Pp. xx + 345 + xxxix. (London: Rivingtons, 1919.) Price 10s.

(3) Mensuration for Marine and Mechanical Engineers. (Second and First Class Board of Trade Examinations.)

By John W. Angles Pp. xxvii + 162. (London: Longmans, Green,and Co., 1919.) Price 5s. net.

(4) School Mechanics. Part I. School Statics.

By W. G. Borchardt. (Without answers.) Pp. viii + 266. (London: Rivingtons, 1919.) Price 6s.