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Hirsch and Goodman offer a mathematically sound, rigorous text to those instructors who believe students should be challenged. The text prepares students for future study in higher-level courses by gradually building students' confidence without sacrificing rigor. To help students move beyond the "how" of algebra (computational proficiency) to the "why" (conceptual understanding), the authors introduce topics at an elementary level and return to them at increasing levels of complexity. Their gradual introduction of concepts, rules, and definitions through a wealth of illustrative examples -- both numerical and algebraic--helps students compare and contrast related ideas and understand the… More sometimes-subtle distinctions among a variety of situations. This author team carefully prepares students to succeed in higher-level mathematics.Less

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Book details

List price: $292.95 Edition: 6th Copyright year: 2006 Publisher: Brooks/Cole Publication date: 9/19/2005 Binding: Hardcover Pages: 704 Size: 8.75" wide x 11.25" long x 1.25" tall Weight: 3.586 Language: English

AuthorTable of Contents

Dr. Arthur Goodman (Ph.D., Yeshiva University) currently teaches in the mathematics department at Queens College of the City University of New York. Dr. Goodman takes great pride in the mathematical accuracy and in depth explanation in all of his textbooks.

Lewis Hirsch (Ph.D., Pennsylvania State University) currently teaches in the mathematics department at Rutgers University. Dr. Hirsch teaches both developmental mathematics and higher level courses such as college algebra and pre-calculus. His experiences in the classroom make him committed to properly preparing students in lower-level courses so they can succeed in for credit courses, and this is reflected in the way he writes his textbooks.

The Integers

What Is Algebra? Introduction and Basic Notation

Integers

Adding Integers

Subtracting Integers

Multiplying and Dividing Integers

The Real Number System

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Practice Test

Algebraic Expressions

Variables and Exponents

Algebraic Substitution

The Distributive Property and Combining Like Terms

Simplifying Algebraic Expressions

Translating Phrases and Sentences Algebraically

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Practice Test

First-Degree Equations and Inequalities

Types of Equations

Solving First-Degree Equations in One Variable and Applications

More First-Degree Equations and Applications

Types of Inequalities and Basic Properties of Inequalities

Solving First-Degree Inequalities in One Variable and Applications

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Practice Test

Chapters 1-3 Cumulative Review

Chapters 1-3 Cumulative Practice Test

Rational Expressions

Fundamental Principle of Fractions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Solving Fractional Equations and Inequalities

Ratio and Proportion

Applications

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Practice Test

Graphing Straight Lines

The Rectangular (Cartesian) Coordinate System

Graphing a Linear Equation in Two Variables

The Slope

The Equation of a Line

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Practice Test

Interpreting Graphs and Systems of Linear Equations

Interpreting Graphs

Solving Systems of Linear Equations: Graphical Method

Solving Systems of Linear Equations: Algebraic Methods

Applications

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Practice Test

Chapters 4-6 Cumulative Review

Chapters 4-6 Cumulative Practice Test

Exponents and Polynomials

Exponent Rules

Zero and Negative Exponents

Scientific Notation

Introduction to Polynomials

Multiplying Polynomials

Special Products

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Practice Test

Factoring

Common Factors

Factoring Trinomials

More Factoring

Solving Polynomial Equations by Factoring

Dividing Polynomials

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Practice Test

More Rational Expressions

Reducing Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Fractional Equations

Literal Equations

Applications

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Practice Test

Chapters 7-9 Cumulative Review

Chapters 7-9 Cumulative Practice Test

Radical Expressions and Equations

Definitions and Basic Notation

Properties of Radicals and Simplest Radical Form

Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions

Radical Equations

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Practice Test

Quadratic Equations

The Factoring and Square Root Methods

The Method of Completing the Square

The Quadratic Formula

Choosing a Method

Applications

Graphing Quadratic Equations

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Practice Test

Chapters 10-11 Cumulative Review

Chapters 10-11 Cumulative Practice Test

Geometry

Angles

Triangles

Congruence

Similarity

Quadrilaterals

Perimeter and Area

Circles

Solid Geometry

Chapter G Review Exercises

Chapter G Practice Test

Appendixes

A Review of Arithmetic

Fractions

Multiplying and Dividing Fractions

Adding and Subtracting Fractions

Decimals

Percents

Using a Scientific Calculator

Using a Graphing Calculator

Introduction to Functions

Answers to Selected Exercises and Chapter Tests

Index

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