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BY

WEBSTER WELLS, S.B.,

PROFESSOR OF MATHEMATICS IN THE MASSACHUSETTS

INSTITUTE OF TECHNOLOGY.

BOSTON, U.S.A.
D. C. HEATH & CO., PUBLISHERS

1906

THE NEW YORK
PUBLIC LIBRARY

337312A
ASTOR, LENOX AND
TILDEN FOUNDATIONS

R 1927 L

COPYRIGHT, 1890,
BY WEBSTER WELLE.

PREFACE.

This work is designed as a text-book for the use of colleges and scientific schools.

The first eighteen chapters have been arranged with reference to the needs of those who wish to make a review of that portion of Algebra preceding Quadratics. While complete as regards the theoretical parts of the subject, only just enough examples are given to furnish a rapid review in the class-room.

Attention is respectfully invited to the following:

The proofs of the five fundamental laws of Algebra — the Commutative and Associative Laws for Addition and Multiplication, and the Distributive Law for Multiplication - for positive or negative integers, and positive or negative fractions, Chapter II. ; Arts. 114 and 115; Arts. 208 to 215; Arts. 230 and 232; Chapter XVI. ; the proofs of the fundamental laws of Algebra for irrational numbers, Chapter XVII. ; Arts. 350 and 351; Arts. 355 to 357; Chapters XXIV. and XXVI. ; the proof of the Binomial Theorem for positive integral exponents, Arts. 443 and 444; Chapter XXXI.; the Note to Art. 469; the proof of the Binomial Theorem for fractional and negative exponents, Art. 483; Arts. 532 to 538; Art. 542; Chapters XXXVII., XXXVIII., and XL.; Art. 650; the proof of Descartes' Rule of Signs for Positive Roots, for incomplete as well as complete equations, Art. 653; Arts. 657 to 663; Arts. 673 and 674;

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