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# Topics In Contemporary Mathematics

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

8th

### 9780618347520

0618347526

Hardcover

2/17/2004

Brooks Cole

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## Summary

Topics in Contemporary Mathematics,8/e, is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts. 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 guide and video are available as well. A variety of pedagogical features reinforce ideas and motivate students to learn.Getting Startedoffers a motivating introduction for the techniques and ideas in each section. Through web references andWeb Itexercises, students utilize the Internet as an educational and creative tool to study mathematical concepts.Collaborative Learningencourages student interaction as they work together to solve problems. TheGraph Itfeature 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 (RSTUV--Read, 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. Eduspace, powered by Blackboard, for the Bello/BrittonTopics in Contemporary Mathcourse features algorithmic exercises, test bank content in question pools and video explanations.

## 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. |