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Todhunter (I.) — continued.

Great pains have been taken to render this work intelligible to young ''students, by the use of simple language and by copious explanations. In'' determining the subjects to be included and the space to be assigned to each, the author has been guided by the Papers given at the various examinations ''in elementary Algebra which are now carried on in this country. The'' ''book may be said to consist of three parts. The first part contains the'' elementary operations in integral and fractional expressions; the second the solution of equations and problems; the third treats of various subjects which are introduced but rarely into Examination Papers, and are more ''briefly discussed. Provision has at the same time been made for the'' introduction of easy equations and problems at an early stage — for those who prefer such a course.

Intended to serve as an introduction to the larger treatise on Plane ''Trigonometry, published by the author. The same plan has been adopted'' as in the Algebra for Beginners: the subject is discussed in short chapters, ''and a collection of examples is attached to each chapter. The first fourteen'' chapters present the geometrical part of Plane Trigonometry; and contain ''all that is necessary for practical purposes. The range of matter included'' is such as seems required by the various examinations in elementary Tri&shy;gonometry ''which are now carried on in this country. Answers are'' appended.

''Intended as a companion to the two preceding books. The work forms an'' ''elementary treatise on demonstrative mechanics. A knowledge of the elements'' at least of the theory of the subject is extremely valuable even for those who ''are mainly concerned with practical results. The author has accordingly'' endeavoured to provide a suitable introduction to the study of applied as ''well as of theoretical mechanics. The work consists of two parts, namely,'' ''Statics and Dynamics. It will be found to contain all that is usually'' comprised in elementary treatises on Mechanics, together with some additions.