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by Margaret Lial, Raymond Greenwell and Nathan Ritchey

Cover type: HardbackEdition: 8TH 05

Copyright: 2005

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

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Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts.

**R. Algebra Reference. **

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

**1. Linear Functions. **

Slopes and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

**2. Systems of Linear Equations and Matrices. **

Solution of Linear Systems by the Echelon Method.

Solution of Linear Systems by the Gauss-Jordan Method.

Addition and Subtraction of Matrices.

Multiplication of Matrices.

Matrix Inverses.

Input-Output Models.

**3. Linear Programming: The Graphical Method. **

Graphing Linear Inequalities.

Solving Linear Programming Problems Graphically.

Applications of Linear Programming.

**4. Linear Programming: The Simplex Method. **

Slack Variables and the Pivot.

Maximization Problems.

Minimization Problems; Duality.

Nonstandard Problems.

**5. Mathematics of Finance. **

Simple and Compound Interest.

Future Value of an Annuity.

Present Value of an Annuity; Amortization.

**6. Logic. **

Statements.

Truth Tables and Equivalent Statements.

The Conditional and Circuits.

More on the Conditional.

Analyzing Arguments and Proofs.

Analyzing Arguments with Quantifiers.

**7. Sets and Probability. **

Sets.

Applications of Venn Diagrams.

Introduction to Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Theorem.

**8. Counting Principles; Further Probability Topics. **

The Multiplication Principle; Permutations.

Combinations.

Probability Applications of Counting Principles.

Binomial Probability.

Probability Distributions; Expected Value.

**9. Statistics. **

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

The Normal Distribution.

Normal Approximation to the Binomial Distribution.

**10. Markov Chains. **

Basic Properties of Markov Chains.

Regular Markov Chains.

Absorbing Markov Chains.

**11. Game Theory. **

Strictly Determined Games.

Mixed Strategies.

Game Theory and Linear Programming

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Summary

Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts.

Table of Contents

**R. Algebra Reference. **

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

**1. Linear Functions. **

Slopes and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

**2. Systems of Linear Equations and Matrices. **

Solution of Linear Systems by the Echelon Method.

Solution of Linear Systems by the Gauss-Jordan Method.

Addition and Subtraction of Matrices.

Multiplication of Matrices.

Matrix Inverses.

Input-Output Models.

**3. Linear Programming: The Graphical Method. **

Graphing Linear Inequalities.

Solving Linear Programming Problems Graphically.

Applications of Linear Programming.

**4. Linear Programming: The Simplex Method. **

Slack Variables and the Pivot.

Maximization Problems.

Minimization Problems; Duality.

Nonstandard Problems.

**5. Mathematics of Finance. **

Simple and Compound Interest.

Future Value of an Annuity.

Present Value of an Annuity; Amortization.

**6. Logic. **

Statements.

Truth Tables and Equivalent Statements.

The Conditional and Circuits.

More on the Conditional.

Analyzing Arguments and Proofs.

Analyzing Arguments with Quantifiers.

**7. Sets and Probability. **

Sets.

Applications of Venn Diagrams.

Introduction to Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Theorem.

**8. Counting Principles; Further Probability Topics. **

The Multiplication Principle; Permutations.

Combinations.

Probability Applications of Counting Principles.

Binomial Probability.

Probability Distributions; Expected Value.

**9. Statistics. **

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

The Normal Distribution.

Normal Approximation to the Binomial Distribution.

**10. Markov Chains. **

Basic Properties of Markov Chains.

Regular Markov Chains.

Absorbing Markov Chains.

**11. Game Theory. **

Strictly Determined Games.

Mixed Strategies.

Game Theory and Linear Programming

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

Published: 2005

International: No

**R. Algebra Reference. **

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

**1. Linear Functions. **

Slopes and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

**2. Systems of Linear Equations and Matrices. **

Solution of Linear Systems by the Echelon Method.

Solution of Linear Systems by the Gauss-Jordan Method.

Addition and Subtraction of Matrices.

Multiplication of Matrices.

Matrix Inverses.

Input-Output Models.

**3. Linear Programming: The Graphical Method. **

Graphing Linear Inequalities.

Solving Linear Programming Problems Graphically.

Applications of Linear Programming.

**4. Linear Programming: The Simplex Method. **

Slack Variables and the Pivot.

Maximization Problems.

Minimization Problems; Duality.

Nonstandard Problems.

**5. Mathematics of Finance. **

Simple and Compound Interest.

Future Value of an Annuity.

Present Value of an Annuity; Amortization.

**6. Logic. **

Statements.

Truth Tables and Equivalent Statements.

The Conditional and Circuits.

More on the Conditional.

Analyzing Arguments and Proofs.

Analyzing Arguments with Quantifiers.

**7. Sets and Probability. **

Sets.

Applications of Venn Diagrams.

Introduction to Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Theorem.

**8. Counting Principles; Further Probability Topics. **

The Multiplication Principle; Permutations.

Combinations.

Probability Applications of Counting Principles.

Binomial Probability.

Probability Distributions; Expected Value.

**9. Statistics. **

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

The Normal Distribution.

Normal Approximation to the Binomial Distribution.

**10. Markov Chains. **

Basic Properties of Markov Chains.

Regular Markov Chains.

Absorbing Markov Chains.

**11. Game Theory. **

Strictly Determined Games.

Mixed Strategies.

Game Theory and Linear Programming