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# Topics in Contemporary Mathematics Expanded Version

**by**Bello, Ignacio; Britton, Jack R.; Kaul, Anton

8th

### 9780618347551

0618347550

Hardcover

2/17/2004

Cengage Learning

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## 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. This Expanded Eighth Edition contains two additional chapters on Voting and Apportionment and Graph Theory. Strong technology focus encourages students to learn and apply their knowledge using the most up-to-date web links maintained by the author on a companion web site. Instructors may also use this site to access PowerPoint slides for convenient class presentations. In addition to these web resources, lecture and practice test videos have been developed to provide extra support and foster confidence outside of the classroom. For those students in Florida, a CLAST Test software package and video are available as well. A variety of pedagogical features reinforce ideas and motivate students to learn. Getting Started offers a motivating introduction for the techniques and ideas in each section. Through web references and Web It exercises, students utilize the Internet as an educational and creative tool to study mathematical concepts. Collaborative Learning encourages student interaction as they work together to solve problems. The Graph It feature found in the book margins provides step-by-step directions for solving specific examples using the TI-83 graphing calculator. Problem-solving approach throughout the text helps students learn techniques and methods that will benefit them throughout their lives and careers. These special examples use George Polya\'s problem-solving strategy (RSTUVRead, Select, Think of a plan, Use the techniques, Verify) and a unique two-column format for describing the general problem-solving method and demonstrating specific uses. Abundant applications and examples include more than 500 examples and 4100 carefully developed exercises that cover a wide range of topics and provide the instructor and student with flexibility in choosing computational, drill, or conceptual problems. Real-world applications motivate students and pique their interest. Other problems such as Using Your Knowledge, Discovery, Calculator Corner, and Research questions help reinforce concepts and further develop the students critical-thinking and problem-solving skills. Skill Checker helps students test their knowledge with a variety of problems to ensure they have a thorough grasp of the material before continuing on to new concepts. The Chapter Summary provides definitions and section references for key topics within a given chapter. A Practice Test after each chapter is followed by Answers to the Practice Test, with references to the appropriate section, page, and example for review, as needed.

## Table of Contents

Note: Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers to Practice Test | |

Problem Solving | |

Inductive Reasoning | |

Estimation: A Problem-Solving Tool | |

Graph Interpretation: A Problem-Solving Tool | |

Sets | |

Sets: A Problem-Solving Tool | |

Set Operations | |

Venn Diagrams | |

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

Infinite Sets | |

Logic | |

Statements | |

Truth Tables: A Problem-Solving Tool | |

The Conditional and the Biconditional | |

Variations of the Conditional and Implications | |

Euler Diagrams: A Problem-Solving Tool | |

Truth Tables and Validity of Arguments | |

Switching Networks: A Problem-Solving Tool | |

Numeration Systems | |

Egyptian, Babylonian, and Roman Numeration Systems | |

The Hindu-Arabic (Decimal) System | |

Number Systems with Bases Other Than 10 | |

Binary Arithmetic | |

Octal and Hexadecimal Arithmetic | |

Number Theory and the Real Numbers | |

Number Theory: Primes and Composites | |

Whole Numbers, Integers, and Order of Operations | |

The Rational Numbers | |

Decimals, Scientific Notation, Significant Digits | |

Rationals as Decimals: Percents | |

Real Numbers, Square Roots, and Decimal Representation | |

Radicals | |

Number Sequences | |

Equations, Inequalities, and Problem Solving | |

Solutions of First-Degree Sentences | |

Graphs of Algebraic Sentences | |

Sentences Involving Absolute Values | |

Quadratic Equations | |

Modeling and Problem Solving | |

Ratio, Proportion, and Variation | |

Functions and Graphs | |

Graphing Relations and Functions | |

Linear Functions, Relations, and Applications | |

Slopes and Equations of a Line | |

Quadratic Functions and Their Graphs | |

Exponential and Logarithmic Functions | |

Two Linear Equations in Two Variables | |

Linear Inequalities | |

Linear Programming | |

Geometry | |

Points, Lines, Planes, and Angles | |

Triangles and Other Polygons | |

Perimeter and Circumference | |

Area Measure and the Pythagorean Theorem | |

Volume and Surface Area | |

Networks, Non-Euclidean Geometry, and Topology | |

Chaos and Fractals | |

Mathematical Systems and Matrices | |

Matrix Operations | |

Solving Systems of Linear Equations with Matrices | |

Clock and Modular Arithmetic | |

Abstract Mathematical Systems: Groups and Fields | |

Game Theory | |

Counting Techniques | |

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

Permutations | |

Combinations | |

Miscellaneous Counting Methods | |

Probability | |

Sample Spaces and Probability | |

Counting Techniques and Probability | |

Computation of Probabilities | |

Conditional Probability | |

Independent Events | |

Odds and Mathematical Expectation | |

Statistics | |

Sampling and Frequency Distributions | |

Measures of Central Tendency: The Mean, Median, and Mode | |

Measures of Dispersion: The Range and Standard Deviation | |

The Normal Distribution: A Problem-Solving Tool | |

Statistical Graphs: A Problem-Solving Tool | |

Making Predictions: Linear Regression | |

Scattergrams and Correlation | |

Your Money and Your Math | |

Interest, Taxes, and Discounts | |

Credit Cards and Consumer Credit | |

Annual Percentage Rate (APR) and the Rule of 78 | |

Buying a House | |

Voting and Apportionment | |

Voting Systems | |

Voting Objections | |

Apportionment Methods | |

Apportionment Objections | |

Graph Theory | |

Introduction to Graph Theory | |

Euler Paths and Euler Circuits | |

Hamilton Paths and Hamilton Circuits | |

Trees Appendix: The Metric System | |

Answers to Odd-Numbered Problems | |

Research Bibliography | |

Acknowledgments | |

Photo Credits | |

Index | |

Table of Contents provided by Publisher. All Rights Reserved. |