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Introductory and Intermediate Algebra - Marvin L. Bittinger, Judith A. Beecher

Introductory and Intermediate Algebra

Buch | Softcover
932 Seiten
2006 | 3rd edition
Pearson (Verlag)
978-0-321-31909-8 (ISBN)
CHF 128,65 inkl. MwSt
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The Bittinger System for Success—Make it Work for You!

 

Building on its reputation for accurate content and a unified system of instruction, the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques.

 

Chapter 1 Introduction to Real Numbers and Algebraic Expressions

1.1 Introduction to Algebra

1.2 The Real Numbers

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

1.5 Multiplication of Real Numbers

1.6 Division of Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions; Order of

      Operations

 

Chapter 2 Solving Equations and Inequalities

2.1 Solving Equations: The Addition

      Principle

2.2 Solving Equations: The

      Multiplication Principle

2.3 Using the Principles Together

2.4 Formulas

2.5 Applications of Percent

2.6 Applications and Problem Solving

2.7 Solving Inequalities

2.8 Applications and Problem Solving

      with Inequalities

 

Chapter 3 Graphs of Linear Equations

3.1 Graphs and Applications

3.2 Graphing Linear Equations

3.3 More with Graphing and Intercepts

3.4 Slope and Applications

 

Chapter 4 Polynomials: Operations

4.1 Integers as Exponents

4.2 Exponents and Scientific Notation

4.3 Introduction to Polynomials

4.4 Addition and Subtraction of

      Polynomials

4.5 Multiplication of Polynomials

4.6 Special Products

4.7 Operations with Polynomials in

      Several Variables

4.8 Division of Polynomials

 

Chapter 5 Polynomials: Factoring

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the

      Type x2 + bx + c

5.3 Factoring ax2 + bx + c, a ¹ 1: 

      The FOIL Method

5.4 Factoring ax2 + bx + c, a ¹ 1: 

      The ac-Method

5.5 Factoring Trinomial Squares and   

      Differences of Squares

5.6 Factoring Sums or Differences of

      Cubes

5.7 Factoring: A General Strategy

5.8 Solving Quadratic Equations by

      Factoring

5.9 Applications of Quadratic Equations

 

Chapter 6 Rational Expressions and Equations

6.1 Multiplying and Simplifying Rational

      Expressions

6.2 Division and Reciprocals

6.3 Least Common Multiples and

      Denominators

6.4 Adding Rational Expressions

6.5 Subtracting Rational Expressions

6.6 Complex Rational Expressions

6.7 Solving Rational Equations

6.8 Applications Using Rational

      Equations and Proportions

6.9 Variation and Applications

 

Chapter 7 Graphs, Functions, and Applications

7.1 Functions and Graphs

7.2 Finding Domain and Range

7.3 Linear Functions:  Graphs and Slope

7.4 More on Graphing Linear Equations

7.5 Finding Equations of Lines;

      Applications

 

Chapter 8 Systems of Equations

8.1 Systems of Equations in Two

      Variables

8.2 Solving by Substitution

8.3 Solving by Elimination

8.4 Solving Applied Problems:  Two

      Equations

8.5 Systems of Equations in Three

      Variables

8.6 Solving Applied Problems:  Three

      Equations

8.7 Business and Economics

      Applications

 

Chapter 9 More on Inequalities

9.1 Sets, Inequalities, and Interval

      Notation

9.2 Intersections, Unions, and Compound

      Inequalities

9.3 Absolute-Value Equations and

      Inequalities

9.4 Systems of Inequalities in Two

      Variables

 

Chapter 10 Radical Expressions, Equations, and Functions

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Simplifying Radical Expressions

10.4 Addition, Subtraction, and More

        Multiplication

 

10.5 More on Division of Radical

        Expressions

10.6 Solving Radical Equations

10.7 Applications Involving Powers and

        Roots

10.8 The Complex Numbers

 

Chapter 11 Quadratic Equations and Functions

11.1 The Basics of Solving Quadratic

        Equations

11.2 The Quadratic Formula

11.3 Applications Involving Quadratic

        Equations

11.4 More on Quadratic Equations

11.5 Graphing f(x) = a(x - h)2 + k

11.6 Graphing f(x) = ax2 + bx + c

11.7 Mathematical Modeling with

        Quadratic Functions

11.8 Polynomial and Rational

        Inequalities

 

Chapter 12 Exponential and Logarithmic Functions

12.1 Exponential Functions

12.2 Inverse and Composite Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

12.5 Natural Logarithmic Functions

12.6 Solving Exponential and

        Logarithmic Equations

12.7 Mathematical Modeling with

        Exponential and Logarithmic       

        Functions

 

Appendixes

A  Factoring and LCMs

B  Fraction Notation

C  Exponential Notation and Order of

     Operations

D  Review of Factoring Polynomials

E  Introductory Algebra Review

F  Handling Dimension Symbols

G  Mean, Median, and Mode

H  Synthetic Division

I  Determinants and Cramer's Rule

J  Elimination Using Matrices

K  The Algebra of Functions

L  Distance, Midpoints, and Circles

 

Erscheint lt. Verlag 27.4.2006
Sprache englisch
Gewicht 2230 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-321-31909-5 / 0321319095
ISBN-13 978-0-321-31909-8 / 9780321319098
Zustand Neuware
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