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G. A. CHRISTIAN, B.A. (Lond.)

Head-Master of the Southwark Pupil-Teachers' School, and

G. COLLAR, B.A., B.Sc. (Lond.)

Head-Master of the Stockwell Pupil-Teachers' School.

Among the more prominent and special features of the book may be mentioned :

(i) Full, but concise, mathematical explanations of all principles and processes. (ii) Proofs of Rules (which are more and more demanded at Public Examinations). (iii) Carefully graduated and well-arranged Exercises, comprising:

A great variety of examples selected from Pupil-Teacher (all years), Queen's Scholarship (England and Scotland), Certificate (England and Scotland), London Matriculation Papers, Oxford and Cambridge Senior and Junior Local Examinations, etc. etc. The sources of the examples selected are mentioned, so that any Examination Candidate may work the particular examples he requires.

(iv) A very full explanation of the principles of numbers, factors, etc.

(v) A very full treatment of Decimals, both terminating and repeating.

(vi) A free use of abbreviated and modern methods, as substitutes for, or alternatives to, those commonly used.

'We recommend teachers and students

to judge for themselves what a powerful auxiliary to success has been given them by the experience and judgment of the able authors.'-Schoolmaster.

'It is not too much to prophesy that this reliable exposition of the principles of arith metic and carefully collated examples, will become the leading text-book for P.-T. Centres, Schools and Colleges.'—The PupilTeacher and Scholarship Student.

'We also welcome it because in several of its chapters-such, for example, as those 'We consider it so satisfactory that we on factors, decimal fractions, involution have at once placed it on our list of books.' and evolution, surds, and logarithms-it-Rev. G. H. S. Walpole, D.D., Principal, Bede seems to us to mark a distinct advance on College, Durham, the majority of its predecessors. The explanations are clearly and simply worded, and the worked-out examples are good models of brevity and neatness.'-School Guardian.

'Have nothing but praise for your book and will immediately put it on our list of recommended text-books.-H. B. Ayres, Esq., Correspondence Classes, Barnsbury, N.

Crown 8vo. 80 pp. Price 6d.
Australasia

Its Geography, Resources, Commerce, and Chronicle
of Discovery

By M. J. C. MEIKLEJOHN, B.A.

'It is crowded with matter presented in a very pleasing style, and made all the more attractive by the numerous quotations from explorers and observers. The history of discovery and exploration is extremely well done, and the book is a marvel of cheapness.'-The Practical Teacher.

'The text is interesting and readable (which is more than can justly be said of some geographical manuals), and the book has an appropriate

frontispiece in a clear, coloured map of Australia, Tasmania, New Zealand, New Guinea, and Melanesia. The accounts of the steamer routes to and from Australasia, and of the history of discovery in and about the great southern continent, are capital features in Mr. Meiklejohn's work.' - The School Guardian.

'The style is bright and expressive, and the plan excellent.'-The Educational News.

Crown 8vo. 232 pp. 1s. 6d.

With Answers, 266 pp. 25.

A School Algebra for Junior Forms

By F. OSCAR LANE, B.Sc. (Lond.)

Assistant Master, King Edward's School, Birmingham

This book is an attempt to make Algebra as clear and as easy as it can be made for the young learner. Each rule is carefully explained and illustrated by typical examples worked in full; oral exercises are introduced; and a special feature of the book is the large number of carefully graduated exercises and problems, many of which have been taken from Public Examination Papers. The range of the work is that required for the London University Matriculation Examination.

'A very trustworthy book for beginners, extending to indices, surds, and progressions.'-The University

Correspondent.

'The scientific method, from known to unknown, from Arithmetic to Al

gebra, has invariably been adopted, while lucid explanations and proofs precede oral exercises, followed in turn by numerous carefully-graduated examples for attaining the necessary mechanical accuracy.'-The Educational News.

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