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MASTER OF MATHEMATICS IN THE BELMONT SCHOOL, BELMONT, MASS.

NEW YORK:

A. LOVELL & CO.

1896.

COPYRIGHT,

BY CHARLES A. HOBBS,

1889.

Hillebrand

QA 102
H54

на

PREFACE.

This book is designed particularly for pupils in preparatory schools, and it is likewise adapted for the use of all pupils who desire a thorough knowledge of Arithmetic.

The four fundamental operations of Arithmetic should be learned by a thorough drill in the elementary schools. This cannot be too strongly insisted upon, as accuracy and readiness of work in all parts of Arithmetic are dependent on these fundamental operations. After such a drill the pupil is ready for rapid advancement. Since this fundamental work belongs to the elementary schools, it has been omitted in this book, and the space has been given to examples for more advanced pupils.

Special attention has been paid to the selection of examples, over a thousand of which have been taken from entrance papers given at various universities and colleges. The 275 miscellaneous examples at the end of the book are all taken from such entrance papers and from entrance papers given at the United States Military and Naval Academies at West Point and Annapolis. An abundance and variety of examples, sufficient to render the pupil master of the subject, will be found in all parts of the book.

In the selection of illustrative examples, great care has been taken to present those which will make clear to the pupil all the difficulties he is liable to meet. The solu

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tions are given in full in order that the principles involved may be clearly understood with but little aid from the teacher.

The adaptability of a text-book to school purposes can be determined only by actual use in the school-room. This treatise has already stood this test, since nearly every part of it has been used by the author in classes, whose members have without exception passed successfully their college entrance examinations in Arithmetic.

No attempt has been made to introduce novel methods, but in all cases methods are given which experience has shown to be well adapted to the needs of the pupil. In the arrangement of subjects, no important departure has been made. The Metric System, a thorough knowledge of which is required by all first-class universities and colleges, is given directly after Compound Numbers, and thereafter the two systems are used side by side, thus giving the pupil a thoroughly practical as well as theoretical knowledge of the system.

It is expected that the teacher will use his judgment with regard to omissions. In the endeavor to make the book complete, certain subjects have been included which are not necessary to a good knowledge of Arithmetic; a careful study of college entrance papers shows that these subjects are insisted on by some colleges.

The author desires to express his thanks to the many persons who have aided him by valuable suggestions, and also to the many institutions which have responded so promptly and often to requests for entrance papers.

BELMONT, July 1st, 1889.

CHARLES A. HOBBS.

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