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ALGEBRA FOR BEGINNERS.

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FOR BEGINNERS

BY

H. S. HALL AND S. R. KNIGHT,

AUTHORS OF “ELEMENTARY ALGEBRA FOR Scuools,” “HIGHER

ALGEBRA,” “ELEMENTARY TRIGONOMETRY," ETC. ETC.

REVISED AND ADAPTED TO AMERICAN SCHOOLS

BY

FRANK L. SEVENOAK, A.M., M.D.,

PROFESSOR OF MATHEMATICS AND ASSISTANT PRINCIPAL IN
THE STEVENS School, ACADEMIC DEPARTMENT OF

THE STEVENS INSTITUTE OF TECHNOLOGY

New York

THE MACMILLAN COMPANY

LONDON: MACMILLAN & CO., LTD.

All rights reserved

COPYRIGHT, 1895,
BY MACMILLAN AND CO.

Set up and electrotyped June, 1895. Reprinted November,
1897 ; August, October, 1898 ; July, 1899; July, 1900.

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PREFACE.

THE rearrangement of the Elementary Algebra of Messrs. Hall and Knight was undertaken in the hope of being able to give to our advanced secondary schools a work that would fully meet their requirements in this important study. Many changes were made and additional subject matter introduced. The Algebra for Beginners, however, so fully meets the needs of the class of students for which it was written, that we have made only such changes as seemed to bring out more clearly important points, and better adapt it to American schools.

With reference to the arrangement of topics, we quote from Messrs. Hall and Knight's preface to a former edition :

“Our order has been determined mainly by two considerations: first, a desire to introduce as early as possible the practical side of the subject, and some of its most interesting applications, such as easy equations and problems; and secondly, the strong opinion that all reference to compound expressions and their resolution into factors should be postponed until the usual operations of Algebra have been exemplified in the case of simple expressions. By this course the beginner soon

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