on logarithms has been enlarged by the addition of a fourplace table of logarithms with explanation of its use. Chapters XXI., XXV., XXX., XXXIII., XXXVIII., XLII., XLIII., XLIV., XLV., XLVI., XLVII., XLIX., and L. treat of portions of the subject that have not appeared in former editions. A chapter on General Theory of Equations is not usually found in an Elementary Algebra, but properly finds here a place in accordance with the purpose of the present revision; and its introduction makes the work available for use in college classes. Carefully selected exercises are given with each chapter, and at the end of the work a large miscellaneous collection will be found. The Higher Algebra of Messrs. Hall and Knight has been drawn upon, and the works of Todhunter, Chrystal, and DeMorgan consulted in preparing the new chapters. I gratefully acknowledge my indebtedness to Prof. J. Burkitt Webb of the Stevens Institute of Technology both for contributions of subject-matter, and valuable suggestions as to methods of treatment. My thanks are also due to Prof. W. H. Bristol, of the same institution, for suggestions as to the arrangement of the chapter on General Theory of Equations. JUNE, 1895. FRANK L. SEVENOAK. PREFACE TO SECOND EDITION. THE printing of the present edition from entirely new plates has enabled us to correct a few typographical errors found in the first edition, and give, at the suggestion of friends, a somewhat fuller explanation of the more difficult parts of the subject. We hope that the addition of new material to Chapters III., IV., V., X., XX., XXI., XLII., XLVIII., and of several sets of Miscellaneous Examples, will render the book still more acceptable to those whose commendation of the former edition has given us much pleasure. JUNE, 1896. CONTENTS. II. Negative Quantities. Addition of Like Terms III. Simple Brackets. Addition. Subtraction Commutative Law for Addition and Subtraction Associative Law for Addition and Subtraction 65 |