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

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G. COLLAR, B.A., B.Sc. (Lond.)
Head-Master of the Stockwell Pupil-Teachers' School.

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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 . It is not too much to prophesy that this to judge for themselves what a powerful reliable exposition of the principles of arith. auxiliary to success has been given them metic and carefully collated examples, will by the experience and judgment of the become the leading text-book for P.-T. able authors.'-Schoolmaster.

Centres, Schools and Colleges.'-The Pupil. "We also welcome it because in several

Teacher and Scholarship Student. 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, "Have nothing but praise for your book and the worked-out examples are good and will immediately put it on our list of models of brevity and neatness.'--School recommended text-books.-H. B. Ayres, Guardian.

Esq., Correspondence Classes, Barnsbury, N.

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