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# A Survey of Mathematics with Applications / Edition 9

A Survey of Mathematics with Applications / Edition 9 available in Hardcover

## Overview

The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. **KEY MARKET** For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied health fields.

## Product Details

ISBN-13: | 9780321759665 |
---|---|

Publisher: | Pearson |

Publication date: | 01/10/2012 |

Edition description: | Older Edition |

Pages: | 1072 |

Product dimensions: | 8.80(w) x 11.00(h) x 1.40(d) |

## Read an Excerpt

The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. **KEY MARKET** For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied health fields.

## First Chapter

The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. **KEY MARKET** For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied health fields.

## Table of Contents

(*All chapters conclude with a "Chapter Summary", "Review Exercises", a "Chapter Test", and "Group Projects".*) ** 1. Critical Thinking Skills. **

Estimation.

Problem Solving.

**2. Sets.**

Subsets.

Venn Diagrams and Set Operations.

Venn Diagrams with Three Sets and Verification of Equality of Sets.

Applications of Sets.

Infinite Sets.

**3. Logic.**

Truth Tables for Negation, Conjunction, and Disjunction.

Truth Tables for the Conditional and Biconditional.

Equivalent Statements.

Symbolic Arguments.

Euler Diagrams and Syllogistic Arguments.

**4. Systems of Numeration.**

Place-Value or Positional-Value Numeration Systems.

Other Bases.

Computation in Other Bases.

Early Computational Methods.

**5. Number Theory and The Real Number System.**

The Integers.

The Rational Numbers.

The Irrational Numbers and the Real Number System.

Real Numbers and Their Properties.

Rules of Exponents and Scientific Notation.

Arithmetic and Geometric Sequences.

Fibonacci Sequence.

**6. Algebra, Graphs, and Functions.**

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations inOne Variable.

Variation.

Linear Inequalities.

Graphing Linear Equations.

Linear Inequalities in Two Variables.

Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.

Functions and Their Graphs.

**7. Systems of Linear Equations and Inequalities.**

Solving Systems of Equations by the Substitution and Addition Methods.

Matrices.

Solving Systems of Equations by Using Matrices.

Systems of Linear Inequalities.

Linear Programming.

**8. The Metric System.**

Length, Area, and Volume.

Mass and Temperature.

Dimensional Analysis and Conversions To and from the Metric System.

**9. Geometry.**

Polygons.

Perimeter and Area.

Volume.

The Möbius Strip, Klein Bottle, and Maps.

Non-Euclidean Geometry and Fractal Geometry.

**10. Mathematical Systems.**

Finite Mathematical Systems.

Modular Arithmetic.

**11. Consumer Mathematics.**

Personal Loans and Simple Interest.

Compound Interest.

Installment Buying.

Buying a House with a Mortgage.

**12. Probability.**

Theoretical Probability.

Odds.

Expected Value (Expectation).

Tree Diagrams.

Or and And Problems.

Conditional Probability.

The Counting Principle and Permutations.

Combinations.

Solving Probability Problems by Using Combinations.

Binomial Probability Formula.

**13. Statistics.**

The Misuses of Statistics.

Frequency Distributions.

Statistical Graphs.

Measures of Central Tendency.

Measures of Dispersion.

The Normal Curve.

Linear Correlation and Regression.

**14. Graph Theory.**

Euler Paths and Euler Circuits.

Hamilton Paths and Hamilton Circuits.

Trees.

**15. Voting and Apportionment.**

Flaws of Voting.

Apportionment Methods.

Flaws of the Apportionment Methods.

## Reading Group Guide

(*All chapters conclude with a "Chapter Summary", "Review Exercises", a "Chapter Test", and "Group Projects".*) ** 1. Critical Thinking Skills. **

Estimation.

Problem Solving.

**2. Sets.**

Subsets.

Venn Diagrams and Set Operations.

Venn Diagrams with Three Sets and Verification of Equality of Sets.

Applications of Sets.

Infinite Sets.

**3. Logic.**

Truth Tables for Negation, Conjunction, and Disjunction.

Truth Tables for the Conditional and Biconditional.

Equivalent Statements.

Symbolic Arguments.

Euler Diagrams and Syllogistic Arguments.

**4. Systems of Numeration.**

Place-Value or Positional-Value Numeration Systems.

Other Bases.

Computation in Other Bases.

Early Computational Methods.

**5. Number Theory and The Real Number System.**

The Integers.

The Rational Numbers.

The Irrational Numbers and the Real Number System.

Real Numbers and Their Properties.

Rules of Exponents and Scientific Notation.

Arithmetic and Geometric Sequences.

Fibonacci Sequence.

**6. Algebra, Graphs, and Functions.**

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations inOne Variable.

Variation.

Linear Inequalities.

Graphing Linear Equations.

Linear Inequalities in Two Variables.

Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.

Functions and Their Graphs.

**7. Systems of Linear Equations and Inequalities.**

Solving Systems of Equations by the Substitution and Addition Methods.

Matrices.

Solving Systems of Equations by Using Matrices.

Systems of Linear Inequalities.

Linear Programming.

**8. The Metric System.**

Length, Area, and Volume.

Mass and Temperature.

Dimensional Analysis and Conversions To and from the Metric System.

**9. Geometry.**

Polygons.

Perimeter and Area.

Volume.

The Möbius Strip, Klein Bottle, and Maps.

Non-Euclidean Geometry and Fractal Geometry.

**10. Mathematical Systems.**

Finite Mathematical Systems.

Modular Arithmetic.

**11. Consumer Mathematics.**

Personal Loans and Simple Interest.

Compound Interest.

Installment Buying.

Buying a House with a Mortgage.

**12. Probability.**

Theoretical Probability.

Odds.

Expected Value (Expectation).

Tree Diagrams.

Or and And Problems.

Conditional Probability.

The Counting Principle and Permutations.

Combinations.

Solving Probability Problems by Using Combinations.

Binomial Probability Formula.

**13. Statistics.**

The Misuses of Statistics.

Frequency Distributions.

Statistical Graphs.

Measures of Central Tendency.

Measures of Dispersion.

The Normal Curve.

Linear Correlation and Regression.

**14. Graph Theory.**

Euler Paths and Euler Circuits.

Hamilton Paths and Hamilton Circuits.

Trees.

**15. Voting and Apportionment.**

Flaws of Voting.

Apportionment Methods.

Flaws of the Apportionment Methods.

## Interviews

(*All chapters conclude with a "Chapter Summary", "Review Exercises", a "Chapter Test", and "Group Projects".*) ** 1. Critical Thinking Skills. **

Estimation.

Problem Solving.

**2. Sets.**

Subsets.

Venn Diagrams and Set Operations.

Venn Diagrams with Three Sets and Verification of Equality of Sets.

Applications of Sets.

Infinite Sets.

**3. Logic.**

Truth Tables for Negation, Conjunction, and Disjunction.

Truth Tables for the Conditional and Biconditional.

Equivalent Statements.

Symbolic Arguments.

Euler Diagrams and Syllogistic Arguments.

**4. Systems of Numeration.**

Place-Value or Positional-Value Numeration Systems.

Other Bases.

Computation in Other Bases.

Early Computational Methods.

**5. Number Theory and The Real Number System.**

The Integers.

The Rational Numbers.

The Irrational Numbers and the Real Number System.

Real Numbers and Their Properties.

Rules of Exponents and Scientific Notation.

Arithmetic and Geometric Sequences.

Fibonacci Sequence.

**6. Algebra, Graphs, and Functions.**

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations inOne Variable.

Variation.

Linear Inequalities.

Graphing Linear Equations.

Linear Inequalities in Two Variables.

Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.

Functions and Their Graphs.

**7. Systems of Linear Equations and Inequalities.**

Solving Systems of Equations by the Substitution and Addition Methods.

Matrices.

Solving Systems of Equations by Using Matrices.

Systems of Linear Inequalities.

Linear Programming.

**8. The Metric System.**

Length, Area, and Volume.

Mass and Temperature.

Dimensional Analysis and Conversions To and from the Metric System.

**9. Geometry.**

Polygons.

Perimeter and Area.

Volume.

The Möbius Strip, Klein Bottle, and Maps.

Non-Euclidean Geometry and Fractal Geometry.

**10. Mathematical Systems.**

Finite Mathematical Systems.

Modular Arithmetic.

**11. Consumer Mathematics.**

Personal Loans and Simple Interest.

Compound Interest.

Installment Buying.

Buying a House with a Mortgage.

**12. Probability.**

Theoretical Probability.

Odds.

Expected Value (Expectation).

Tree Diagrams.

Or and And Problems.

Conditional Probability.

The Counting Principle and Permutations.

Combinations.

Solving Probability Problems by Using Combinations.

Binomial Probability Formula.

**13. Statistics.**

The Misuses of Statistics.

Frequency Distributions.

Statistical Graphs.

Measures of Central Tendency.

Measures of Dispersion.

The Normal Curve.

Linear Correlation and Regression.

**14. Graph Theory.**

Euler Paths and Euler Circuits.

Hamilton Paths and Hamilton Circuits.

Trees.

**15. Voting and Apportionment.**

Flaws of Voting.

Apportionment Methods.

Flaws of the Apportionment Methods.

## Recipe

** 1. Critical Thinking Skills. **

Estimation.

Problem Solving.

**2. Sets.**

Subsets.

Venn Diagrams and Set Operations.

Venn Diagrams with Three Sets and Verification of Equality of Sets.

Applications of Sets.

Infinite Sets.

**3. Logic.**

Truth Tables for Negation, Conjunction, and Disjunction.

Truth Tables for the Conditional and Biconditional.

Equivalent Statements.

Symbolic Arguments.

Euler Diagrams and Syllogistic Arguments.

**4. Systems of Numeration.**

Place-Value or Positional-Value Numeration Systems.

Other Bases.

Computation in Other Bases.

Early Computational Methods.

**5. Number Theory and The Real Number System.**

The Integers.

The Rational Numbers.

The Irrational Numbers and the Real Number System.

Real Numbers and Their Properties.

Rules of Exponents and Scientific Notation.

Arithmetic and Geometric Sequences.

Fibonacci Sequence.

**6. Algebra, Graphs, and Functions.**

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations inOne Variable.

Variation.

Linear Inequalities.

Graphing Linear Equations.

Linear Inequalities in Two Variables.

Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.

Functions and Their Graphs.

**7. Systems of Linear Equations and Inequalities.**

Solving Systems of Equations by the Substitution and Addition Methods.

Matrices.

Solving Systems of Equations by Using Matrices.

Systems of Linear Inequalities.

Linear Programming.

**8. The Metric System.**

Length, Area, and Volume.

Mass and Temperature.

Dimensional Analysis and Conversions To and from the Metric System.

**9. Geometry.**

Polygons.

Perimeter and Area.

Volume.

The Möbius Strip, Klein Bottle, and Maps.

Non-Euclidean Geometry and Fractal Geometry.

**10. Mathematical Systems.**

Finite Mathematical Systems.

Modular Arithmetic.

**11. Consumer Mathematics.**

Personal Loans and Simple Interest.

Compound Interest.

Installment Buying.

Buying a House with a Mortgage.

**12. Probability.**

Theoretical Probability.

Odds.

Expected Value (Expectation).

Tree Diagrams.

Or and And Problems.

Conditional Probability.

The Counting Principle and Permutations.

Combinations.

Solving Probability Problems by Using Combinations.

Binomial Probability Formula.

**13. Statistics.**

The Misuses of Statistics.

Frequency Distributions.

Statistical Graphs.

Measures of Central Tendency.

Measures of Dispersion.

The Normal Curve.

Linear Correlation and Regression.

**14. Graph Theory.**

Euler Paths and Euler Circuits.

Hamilton Paths and Hamilton Circuits.

Trees.

**15. Voting and Apportionment.**

Flaws of Voting.

Apportionment Methods.

Flaws of the Apportionment Methods.