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LONDON: PRINTED BY C. F. HODGSON, 1 GOUGH SQUARE,

FLEET STREET.

PREFACE.

Having for some years been associated with military men, many of whom had not an opportunity of acquiring a knowledge of Arithmetic before entering their profession, I have observed that this deficiency is necessarily a bar to their rise, and that it materially affects their welfare in life.

Although all this is well known, and frequently explained to the men, and every care taken as to their proper instruction, I have always found two causes, which in a great measure prevented their acquiring that proficiency which they might otherwise attain.

The first of these, is the reluctance men generally feel to be taught in classes, unless they have made some proficiency before ; and the impossibility of giving personal instruction to each individual, when so many attend at one time, and but for an hour or two daily.

The second is, the want of sufficient instruction in the Arithmetics generally in use, to enable the pupil to learn without receiving almost continued assist-. ance from the master. I have seen many most anxious to learn, who, upon opening an Arithmetic,

and seeing nothing but piles of figures, laid it down in despair.

To remedy this, as far as lay in my power, has long been my wish, but until now other and arduous duties prevented me; and the book I now offer will, I trust, be beneficial to both master and pupil ; the one it will ease, in a great measure, of the most irksome part of his duty, and the other it will enable to acquire as much knowledge of Arithmetic in two or three months, as it would previously have taken him as many years to attain.

P. F.

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