Topics in Contemporary Mathematics / Edition 5by Ignacio Bello, Jack R. Britton
Pub. Date: 01/28/1993
Publisher: Houghton Mifflin Company College Division
Through a unique problem-solving approach that enables non-math majors to see math at work in the contemporary world, this highly accessible text helps students develop techniques and methods that will be invaluable to them throughout their lives and careers. Special examples are presented in a two-column format with the easy-to-remember instructions, RSTUV (Read, Select, Think of a plan, Use the techniques, and Verify). More than 500 examples and 4100 carefully developed exercises cover a wide range of topics and provide both instructor and student with flexibility in choosing computational, drill, or conceptual problems. Real-world applications motivate students and hold their interest.
- A strong technology focus in the Seventh Edition, featuring new Web It Exercises, encourages students to apply their knowledge using the most up-to-date web links maintained by the author on a text-linked site. Also on the web site are downloadable PowerPoint slides as well as new lecture and practice test videos. Additional features include Collaborative Learning sections, Graph It margin notes, and Skill Checker.
- Houghton Mifflin Company College Division
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Table of Contents
Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers. 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 of 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 8.6 Networks, Non-Euclidean Geometry, and Topology Online Only: 8.7 Right Triangle Trigonometry Online Only: 8.8 Chaos and Fractals 9. Mathematical Systems and Matrices 9.1 Matrix Operations 9.2 Solving Systems 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 Counting Techniques and Probability 11.3 Computation of 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 Measures of Central Tendency: The Mean, Median, and Mode 12.3 Measures of Depression: The Range and Standard Deviation 12.4 The Normal Dsitribution: A Problem Solving Tool 12.5 Statistical Graphs: 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 Consumer 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 Online Only: Appendix. The Metric System A.1 Metric Units of Measurement A.2 Convert If You Must
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