Articles liés à Advanced Algebra (Classic Reprint)

Advanced Algebra (Classic Reprint) - Couverture souple

Schultze, Arthur

 
9781332766512: Advanced Algebra (Classic Reprint)

Synopsis

Master algebra with a practical, problem‑driven approach that makes tough topics approachable.

This edition of Advanced Algebra presents a student‑friendly path through foundational ideas like solving problems with letters, forming equations, and understanding how numbers relate to each other. It emphasizes clear methods and thorough practice, aiming to reduce difficulty for beginners while building a solid algebraic toolkit.


  • Learn to translate problems into equations by denoting known and unknown quantities with letters.

  • Explore a streamlined approach to factoring, plus worked examples that emphasize understanding over memorization.

  • See real‑world applications drawn from geometry, physics, and commerce to illuminate key concepts.

  • Discover graphical methods for representing and solving functions and equations, with guided steps for practice.



Ideal for readers preparing for college entrances and for those beginning a study of algebra, this edition provides a structured, practical introduction that builds confidence and skill.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

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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