Articles liés à Advanced Algebra
Présentation de l'éditeur
PREFACE
MOST teachers of mathematics agree that a number of the
topics ol'dinarily taught to classes in advanced algebra may be
omitted without injury to the course. Some of these topics,
such as multiple roots, Sturm's theorem, etc., can be mOl'e satisfactorily
taken up after the stl!-dent is familiar with calculus,
while others, such as recurring series, continued fractions, etc.,
are so seldom applied in higher mathematics that they may be
entirely omitted.
In accordance with this view, the College Entrance Examination
Board has considerably reduced the uumber of topics
required in advanced algebra. All subjects no longer required
for the examinations of this Board are omitted from the regular
course of this book, with the exception of inequalities,
which is retained, since familiarity with the symbols of inequality
seems to be necessary for future. work. If, however,
a subject appears too important for entire omission, it is placed
in the Appendix. This is done
Table of Contents
CONTENTS; CHAPTER I; INTRODUCTION •; Algebraic Solution of Problems; Negative Numbers; Numbers represented by Letters; Factors, Powers, and Roots; •; •; Algebraic Expressions and Numerical Substitutions; CHAPTER II; ADDITION, SUBTRACTION, AND PARENTHESES •; Addition of Monomials; Addition of Polynomials; Subtraction; Review Exercise I; Signs of Aggregation •; Exercises in Algebraic Expression; CHAPTER III; MULTIPLICATION; Multiplication of Algebraic Numbers •; Multiplication of Monomials; •; Multiplication of a Polynomial by a Monomial •; Multiplication of' Polynomials; Special Cases in Multiplication •; CHAPTER IV; DIVISION •; Divi
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