Advanced Algebra (Classic Reprint) - Couverture souple

Schultze, Arthur

9781440084096: Advanced Algebra (Classic Reprint)

Couverture souple

ISBN 10 : 1440084092 ISBN 13 : 9781440084096

Editeur : Forgotten Books, 2018

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Master algebra through a problem‑driven approach that makes tough topics approachable.

This edition blends equations, factoring, and graphical methods into a practical, reader‑friendly introduction. It emphasizes clear, concrete practice and real‑world applications to help students build solid problem‑solving skills.

The author presents a unique path where problems are solved by modeling with equations, using a simplified cross‑product method for factoring, and applying graphical reasoning. Applications come from geometry, physics, and business, chosen to illustrate ideas without overwhelming detail. Graphical methods are highlighted for their practical value and as a counterweight to rote memorization, with notes on computing roots to several decimal places and solving quadratic equations. The book is organized to fit first‑year study and can be taught in a shorter course by omitting chapters on graphics.
What you’ll experience

A problem‑driven route to solving equations, factoring, and graphical representation
A streamlined factoring approach, including a simplified cross‑product method for quadratics
Practical, real‑world examples drawn from geometry, physics, and commerce
Guidance on graphical methods and precise root finding for quadratic problems

Ideal for readers beginning algebra, students preparing for university‑level math requirements, and teachers seeking a clear, applied path through the subject.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur

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