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by Ignacio Bello, Jack R. Britton and Anton Kaul

Edition: 9TH 08Copyright: 2008

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Ignacio Bello, Jack R. Britton and Anton Kaul

Edition: 9TH 08
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Topics in Contemporary Mathematics is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.

**1. Problem Solving**

1.1 Inductive reasoning

1.2 Estimation: A Problem Solving tool

1.3 Graph Interpretation: A Problem Solving Tool

**2. Sets**

2.1 Sets: A Problem-Solving Tool

2.2 Set Operations

2.3 Venn Diagrams

2.4 The Number of Elements in a Set: A Problem-Solving Tool

2.5 Infinite Sets

**3. Logic**

3.1 Statements

3.2 Truth Tables: A Problem-Solving Tool

3.3 The Conditional and the Biconditional

3.4 Variations of the Conditional and Implications

3.5 Euler Diagrams: A Problem-Solving Tool

3.6 Truth Tables and Validity Arguments

Online Only: 3.7 Switching Networks: A Problem-Solving Tool

**4. Numeration Systems**

4.1 Egyptian, Babylonian, and Roman Numeration Systems

4.2 The Hindu-Arabic (Decimal) System

4.3 Number Systems with Bases Other Than 10

4.4 Binary Arithmetic

4.5 Octal and Hexadecimal Arithmetic

**5. Number Theory and the Real Numbers**

5.1 Number Theory: Primes and Composites

5.2 Whole Numbers, Integers, and Order or Operations

5.3 The Rational Numbers

5.4 Decimals, Scientific Notation, and Significant Digits

5.5 Rationals as Decimals: Percents

5.6 Real Numbers, Square Roots, and Decimal Representation

5.7 Radicals

5.8 Number Sequences

**6. Equations, Inequalities, and Problem Solving**

6.1 Solutions of First-Degree Sentences

6.2 Graphs of Algebraic Sentences

6.3 Sentences Involving Absolute Values

6.4 Quadratic Equations

6.5 Modeling and Problem Solving

6.6 Ratio Proportion, and Variation

**7. Functions and Graphs**

7.1 Graphing Relations and Functions

7.2 Linear Functions, Relations, and Applications

7.3 Slopes and Equations of A Line

7.4 Quadratic Functions and Their Graphs

7.5 Exponential and Logarithmic Functions

7.6 Two Linear Equations in Two Variables

7.7 Linear Inequalities

Online Only: 7.8 Linear Programming

**8. Geometry**

8.1 Points, lines, planes, and angles

8.2 Triangles and Other Polygons

8.3 Perimeter and Circumfrence

8.4 Area Measure and the Pythagorean Theorem

8.5 Volume and Surface Area

Online Only: 8.6 Right Triangle Trigonometry

8.7 Networks, Non-Euclidean Geometry, and Topology

Online Only: 8.8 Chaos and Fractals

**9. Mathematical Systems and Matrices**

9.1 Matrix Operations

9.2 Solving of Linear Equations with Matrices

9.3 Clock and Modular Arithmetic

9.4 Abstract Mathematical Systems: Groups and Fields

9.4 Game Theory

**10. Counting Techniques**

10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool

10.2 Permutations

10.3 Combinations

10.4 Miscellaneous Counting Methods

**11. Probability**

11.1 Sample Spaces and Probability

11.2 Poker Improbabilities

11.3 Computation and Probability

11.4 Conditional Probability

11.5 Independent Events

11.6 Odds and Mathematical Expectation

**12. Statictics**

12.1 Sampling and Frequency Distribution

12.2 The Measures Central Tendency: The Mean, the Median, and the Mode

12.3 Measures of Depression: The Range and Standard Deviation

12.4 The Normal Dsitribution: A Problem Solving Tool

12.5 Statistical Graphics: A Problem-Solving Tool

12.6 Making Predictions: Linear Regression

12.7 Scattergrams and Correlation

**13. Your Money and Your Math**

13.1 Interest, Taxes, and Discounts

13.2 Credit Cards and Comsumer Credit

13.3 Annual Percentage Rate (APR) and the Rules of 78

13.4 Buying a House

13.5 Investing in Stocks, Bonds, and Mutual Funds

**Online Only: 14. Voting and Apportionment**

14.1 Voting Systems

14.2 Voting Objections

14.3 Apportionment Methods

14.4 Apportionment Objections

**Online Only: 15. Graph Theory**

15.1 Introduction to Graph Theory

15.2 Euler Paths and Euler Circuits

15.3 Hamilton Paths and Hamilton Circuits

15.4 Trees

Summary

Topics in Contemporary Mathematics is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.

Table of Contents

**1. Problem Solving**

1.1 Inductive reasoning

1.2 Estimation: A Problem Solving tool

1.3 Graph Interpretation: A Problem Solving Tool

**2. Sets**

2.1 Sets: A Problem-Solving Tool

2.2 Set Operations

2.3 Venn Diagrams

2.4 The Number of Elements in a Set: A Problem-Solving Tool

2.5 Infinite Sets

**3. Logic**

3.1 Statements

3.2 Truth Tables: A Problem-Solving Tool

3.3 The Conditional and the Biconditional

3.4 Variations of the Conditional and Implications

3.5 Euler Diagrams: A Problem-Solving Tool

3.6 Truth Tables and Validity Arguments

Online Only: 3.7 Switching Networks: A Problem-Solving Tool

**4. Numeration Systems**

4.1 Egyptian, Babylonian, and Roman Numeration Systems

4.2 The Hindu-Arabic (Decimal) System

4.3 Number Systems with Bases Other Than 10

4.4 Binary Arithmetic

4.5 Octal and Hexadecimal Arithmetic

**5. Number Theory and the Real Numbers**

5.1 Number Theory: Primes and Composites

5.2 Whole Numbers, Integers, and Order or Operations

5.3 The Rational Numbers

5.4 Decimals, Scientific Notation, and Significant Digits

5.5 Rationals as Decimals: Percents

5.6 Real Numbers, Square Roots, and Decimal Representation

5.7 Radicals

5.8 Number Sequences

**6. Equations, Inequalities, and Problem Solving**

6.1 Solutions of First-Degree Sentences

6.2 Graphs of Algebraic Sentences

6.3 Sentences Involving Absolute Values

6.4 Quadratic Equations

6.5 Modeling and Problem Solving

6.6 Ratio Proportion, and Variation

**7. Functions and Graphs**

7.1 Graphing Relations and Functions

7.2 Linear Functions, Relations, and Applications

7.3 Slopes and Equations of A Line

7.4 Quadratic Functions and Their Graphs

7.5 Exponential and Logarithmic Functions

7.6 Two Linear Equations in Two Variables

7.7 Linear Inequalities

Online Only: 7.8 Linear Programming

**8. Geometry**

8.1 Points, lines, planes, and angles

8.2 Triangles and Other Polygons

8.3 Perimeter and Circumfrence

8.4 Area Measure and the Pythagorean Theorem

8.5 Volume and Surface Area

Online Only: 8.6 Right Triangle Trigonometry

8.7 Networks, Non-Euclidean Geometry, and Topology

Online Only: 8.8 Chaos and Fractals

**9. Mathematical Systems and Matrices**

9.1 Matrix Operations

9.2 Solving of Linear Equations with Matrices

9.3 Clock and Modular Arithmetic

9.4 Abstract Mathematical Systems: Groups and Fields

9.4 Game Theory

**10. Counting Techniques**

10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool

10.2 Permutations

10.3 Combinations

10.4 Miscellaneous Counting Methods

**11. Probability**

11.1 Sample Spaces and Probability

11.2 Poker Improbabilities

11.3 Computation and Probability

11.4 Conditional Probability

11.5 Independent Events

11.6 Odds and Mathematical Expectation

**12. Statictics**

12.1 Sampling and Frequency Distribution

12.2 The Measures Central Tendency: The Mean, the Median, and the Mode

12.3 Measures of Depression: The Range and Standard Deviation

12.4 The Normal Dsitribution: A Problem Solving Tool

12.5 Statistical Graphics: A Problem-Solving Tool

12.6 Making Predictions: Linear Regression

12.7 Scattergrams and Correlation

**13. Your Money and Your Math**

13.1 Interest, Taxes, and Discounts

13.2 Credit Cards and Comsumer Credit

13.3 Annual Percentage Rate (APR) and the Rules of 78

13.4 Buying a House

13.5 Investing in Stocks, Bonds, and Mutual Funds

**Online Only: 14. Voting and Apportionment**

14.1 Voting Systems

14.2 Voting Objections

14.3 Apportionment Methods

14.4 Apportionment Objections

**Online Only: 15. Graph Theory**

15.1 Introduction to Graph Theory

15.2 Euler Paths and Euler Circuits

15.3 Hamilton Paths and Hamilton Circuits

15.4 Trees

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Published: 2008

International: No

**1. Problem Solving**

1.1 Inductive reasoning

1.2 Estimation: A Problem Solving tool

1.3 Graph Interpretation: A Problem Solving Tool

**2. Sets**

2.1 Sets: A Problem-Solving Tool

2.2 Set Operations

2.3 Venn Diagrams

2.4 The Number of Elements in a Set: A Problem-Solving Tool

2.5 Infinite Sets

**3. Logic**

3.1 Statements

3.2 Truth Tables: A Problem-Solving Tool

3.3 The Conditional and the Biconditional

3.4 Variations of the Conditional and Implications

3.5 Euler Diagrams: A Problem-Solving Tool

3.6 Truth Tables and Validity Arguments

Online Only: 3.7 Switching Networks: A Problem-Solving Tool

**4. Numeration Systems**

4.1 Egyptian, Babylonian, and Roman Numeration Systems

4.2 The Hindu-Arabic (Decimal) System

4.3 Number Systems with Bases Other Than 10

4.4 Binary Arithmetic

4.5 Octal and Hexadecimal Arithmetic

**5. Number Theory and the Real Numbers**

5.1 Number Theory: Primes and Composites

5.2 Whole Numbers, Integers, and Order or Operations

5.3 The Rational Numbers

5.4 Decimals, Scientific Notation, and Significant Digits

5.5 Rationals as Decimals: Percents

5.6 Real Numbers, Square Roots, and Decimal Representation

5.7 Radicals

5.8 Number Sequences

**6. Equations, Inequalities, and Problem Solving**

6.1 Solutions of First-Degree Sentences

6.2 Graphs of Algebraic Sentences

6.3 Sentences Involving Absolute Values

6.4 Quadratic Equations

6.5 Modeling and Problem Solving

6.6 Ratio Proportion, and Variation

**7. Functions and Graphs**

7.1 Graphing Relations and Functions

7.2 Linear Functions, Relations, and Applications

7.3 Slopes and Equations of A Line

7.4 Quadratic Functions and Their Graphs

7.5 Exponential and Logarithmic Functions

7.6 Two Linear Equations in Two Variables

7.7 Linear Inequalities

Online Only: 7.8 Linear Programming

**8. Geometry**

8.1 Points, lines, planes, and angles

8.2 Triangles and Other Polygons

8.3 Perimeter and Circumfrence

8.4 Area Measure and the Pythagorean Theorem

8.5 Volume and Surface Area

Online Only: 8.6 Right Triangle Trigonometry

8.7 Networks, Non-Euclidean Geometry, and Topology

Online Only: 8.8 Chaos and Fractals

**9. Mathematical Systems and Matrices**

9.1 Matrix Operations

9.2 Solving of Linear Equations with Matrices

9.3 Clock and Modular Arithmetic

9.4 Abstract Mathematical Systems: Groups and Fields

9.4 Game Theory

**10. Counting Techniques**

10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool

10.2 Permutations

10.3 Combinations

10.4 Miscellaneous Counting Methods

**11. Probability**

11.1 Sample Spaces and Probability

11.2 Poker Improbabilities

11.3 Computation and Probability

11.4 Conditional Probability

11.5 Independent Events

11.6 Odds and Mathematical Expectation

**12. Statictics**

12.1 Sampling and Frequency Distribution

12.2 The Measures Central Tendency: The Mean, the Median, and the Mode

12.3 Measures of Depression: The Range and Standard Deviation

12.4 The Normal Dsitribution: A Problem Solving Tool

12.5 Statistical Graphics: A Problem-Solving Tool

12.6 Making Predictions: Linear Regression

12.7 Scattergrams and Correlation

**13. Your Money and Your Math**

13.1 Interest, Taxes, and Discounts

13.2 Credit Cards and Comsumer Credit

13.3 Annual Percentage Rate (APR) and the Rules of 78

13.4 Buying a House

13.5 Investing in Stocks, Bonds, and Mutual Funds

**Online Only: 14. Voting and Apportionment**

14.1 Voting Systems

14.2 Voting Objections

14.3 Apportionment Methods

14.4 Apportionment Objections

**Online Only: 15. Graph Theory**

15.1 Introduction to Graph Theory

15.2 Euler Paths and Euler Circuits

15.3 Hamilton Paths and Hamilton Circuits

15.4 Trees