Understanding Elementary Algebra with Geometry A Course for College Students

ISBN-10: 0534999727

ISBN-13: 9780534999728

Edition: 6th 2006 (Revised)

List price: $292.95
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Description:

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 sometimes-subtle distinctions among a variety of situations. This author team carefully prepares students to succeed in higher-level mathematics.
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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: 3.828
Language: English

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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