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ACADEMIC ALGEBRA

L. C. Karprish

From the Publishers.

BY

WOOSTER WOODRUFF BEMAN

PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF MICHIGAN

AND

DAVID EUGENE SMITH

PROFESSOR OF MATHEMATICS IN TEACHERS COLLEGE
COLUMBIA UNIVERSITY, NEW YORK

BOSTON, U.S.A.

GINN & COMPANY, PUBLISHERS

Grad. R.R.3

Pro. R. C. Karkinski

4-27-1923

COPYRIGHT, 1902, BY

WOOSTER WOODRUFF BEMAN AND DAVID EUGENE SMITH.

All rights reserved.

34.8

TYPOGRAPHY BY J. S. CUSHING & Co., NORWOOD, MASS.

PRESS WORK BY THE ATHENÆUM PRESS, CAMBRIDGE, MASS.

PREFACE

THIS work is intended to cover the subject of elementary algebra with sufficient thoroughness to prepare the student for college. It presupposes no knowledge of the subject, and it leaves for subsequent study many of the topics presented in the authors' "Elements of Algebra." At the same time it follows the latter work in the endeavor to modernize the subject and to pay relatively little attention to those portions which hold their place merely because of tradition. It is believed that teachers will welcome the logical, and at the same time simple, presentation of subjects like evolution, factoring, the theory of indices, and the treatment of the quadratic as set forth in this work. It is also felt that the time has arrived for the modern presentation of the imaginary as here given.

Many teachers wish to have a text-book with a minimum of theory simply presented, and a maximum of practical work with problems. They wish to supplement the former by explanations before the class, but they do not wish to occupy the time in dictating exercises. For such teachers this book will be found especially helpful. The problems are very numerous and are well graded, while additional work on every chapter is available in the authors' "Elements of Algebra." Teachers desiring to give lessons on

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