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Preface Acknowledgments About the Authors 1. The Art of Problem Solving 1.1 Solving Problems by Inductive Reasoning 1.2 An Application of Inductive Reasoning: Number Patterns 1.3 Strategies for Problem Solving 1.4 Numeracy in Today’s World Chapter 1 Summary Chapter 1 Test 2. The Basic Concepts of Set Theory 2.1 Symbols and Terminology 2.2 Venn Diagrams and Subsets 2.3 Set Operations 2.4 Surveys and Cardinal Numbers Chapter 2 Summary Chapter 2 Test 3. Introduction to Logic 3.1 Statements and Quantifiers 3.2 Truth Tables and Equivalent Statements 3.3 The Conditional and Circuits 3.4 The Conditional and Related Statements 3.5 Analyzing Arguments with Euler Diagrams 3.6 Analyzing Arguments with Truth Tables Chapter 3 Summary Chapter 3 Test 4. Numeration Systems 4.1 Historical Numeration Systems 4.2 More Historical Numeration Systems 4.3 Arithmetic in the Hindu-Arabic System 4.4 Conversion between Number Bases Chapter 4 Summary Chapter 4 Test 5. Number Theory 5.1 Prime and Composite Numbers 5.2 Large Prime Numbers 5.3 Selected Topics from Number Theory 5.4 Greatest Common Factor and Least Common Multiple 5.5 The Fibonacci Sequence and the Golden Ratio 5.6 Magic Squares (online) Chapter 5 Summary Chapter 5 Test 6. The Real Numbers and Their Representations 6.1 Real Numbers, Order, and Absolute Value 6.2 Operations, Properties, and Applications of Real Numbers 6.3 Rational Numbers and Decimal Representation 6.4 Irrational Numbers and Decimal Representation 6.5 Applications of Decimals and Percents Chapter 6 Summary Chapter 6 Test 7. The Basic Concepts of Algebra 7.1 Linear Equations 7.2 Applications of Linear Equations 7.3 Ratio, Proportion, and Variation 7.4 Linear Inequalities 7.5 Properties of Exponents and Scientific Notation 7.6 Polynomials and Factoring 7.7 Quadratic Equations and Applications Chapter 7 Summary Chapter 7 Test 8. Graphs, Functions, and Systems of Equations and Inequalities 8.1 The Rectangular Coordinate System and Circles 8.2 Lines, Slope, and Average Rate of Change 8.3 Equations of Lines 8.4 Linear Functions, Graphs, and Models 8.5 Quadratic Functions, Graphs, and Models 8.6 Exponential and Logarithmic Functions, Graphs, and Models 8.7 Systems of Linear Equations 8.8 Applications of Linear Systems 8.9 Linear Inequalities, Systems, and Linear Programming Chapter 8 Summary Chapter 8 Test 9. Geometry 9.1 Points, Lines, Planes, and Angles 9.2 Curves, Polygons, Circles, and Geometric Constructions 9.3 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem 9.4 Perimeter, Area, and Circumference 9.5 Volume and Surface Area 9.6 Transformational Geometry 9.7 Non-Euclidean Geometry and Topology 9.8 Chaos and Fractal Geometry Chapter 9 Summary Chapter 9 Test 10. Counting Methods 10.1 Counting by Systematic Listing 10.2 Using the Fundamental Counting Principle 10.3 Using Permutations and Combinations 10.4 Using Pascal’s Triangle 10.5 Counting Problems Involving “Not” and “Or” Chapter 10 Summary Chapter 10 Test 11. Probability 11.1 Basic Concepts 11.2 Events Involving “Not” and “Or” 11.3 Conditional Probability and Events Involving “And” 11.4 Binomial Probability 11.5 Expected Value and Simulation Chapter 11 Summary Chapter 11 Test 12. Statistics 12.1 Visual Displays of Data 12.2 Measures of Central Tendency 12.3 Measures of Dispersion 12.4 Measures of Position 12.5 The Normal Distribution Chapter 12 Summary Chapter 12 Test 13. Personal Financial Management 13.1 The Time Value of Money 13.2 Consumer Credit 13.3 Truth in Lending 13.4 The Costs and Advantages of Home Ownership 13.5 Financial Investments Chapter 13 Summary Chapter 13 Test 14. Graph Theory 14.1 Basic Concepts 14.2 Euler Circuits and Route Planning 14.3 Hamilton Circuits and Algorithms 14.4 Trees and Minimum Spanning Trees Chapter 14 Summary Chapter 14 Test 15. Voting and Apportionment 15.1 The Possibilities of Voting 15.2 The Impossibilities of Voting 15.3 The Possibilities of Apportionment 15.4 The Impossibilities of Apportionment Chapter 15 Summary Chapter 15 Test Answers to Selected Exercises Credits Index of Applications Index NOTE: Trigonometry module and Metrics module available in MyMathLab or online at www.pearsonhighered.com/mathstatsresources. Table of Contents
Manual solution Mathematical Ideas, CourseSmart eTextbook, 13th Edition for sale , Mathematical Ideas, CourseSmart eTextbook, 13th Edition for sale , Mathematical Ideas, CourseSmart eTextbook, 13th Edition pdf for sale , Charles D. Miller, American River College Vern E. Heeren, American River College John Hornsby, University of New Orleans Christopher Heeren Christopher Heeren, American River College
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