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About the Author | |
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Preface | |
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To the Student | |
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Acknowledgments | |
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Resources | |
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Applications Index | |
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Problem Solving and Critical Thinking | |
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Inductive and Deductive Reasoning | |
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Estimation and Graphs | |
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Problem Solving | |
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Set Theory | |
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Basic Set Concepts | |
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Venn Diagrams and Subsets | |
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Venn Diagrams and Set Operations | |
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Set Operations and Venn Diagrams with Three Sets | |
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Surveys and Cardinal Numbers | |
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Logic | |
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Statements, Negations, and Quantified Statements | |
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Compound Statements and Connectives | |
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Truth Tables for Negation, Conjunction, and Disjunction | |
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Truth Tables for the Conditional and Biconditional | |
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Equivalent Statements, Conditional Statements, and De Morgan's Laws | |
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Arguments and Truth Tables | |
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Arguments and Euler Diagrams | |
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Number Representation and Calculation | |
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Our Hindu-Arabic System and Early Positional Systems | |
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Number Bases in Positional Systems | |
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Computation in Positional Systems | |
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Looking Back at Early Numeration Systems | |
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Number Theory and the Real Number System | |
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Number Theory: Prime and Composite Numbers | |
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The Integers; Order of Operations | |
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The Rational Numbers | |
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The Irrational Numbers | |
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Real Numbers and Their Properties | |
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Exponents and Scientific Notation | |
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Arithmetic and Geometric Sequences | |
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Algebra: Equations and Inequalities | |
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Algebraic Expressions and Formulas | |
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Solving Linear Equations | |
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Applications of Linear Equations | |
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Ratio, Proportion, and Variation | |
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Solving Linear Inequalities | |
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Solving Quadratic Equations | |
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Algebra: Graphs, Functions, and Linear Systems | |
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Graphing and Functions | |
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Linear Functions and Their Graphs | |
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Quadratic Functions and Their Graphs | |
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Exponential Functions | |
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Systems of Linear Equations | |
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Linear Inequalities in Two Variables | |
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Linear Programming | |
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Consumer Mathematics and Financial Management | |
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Percent | |
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Interest | |
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Installment Buying | |
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The Cost of Home Ownership | |
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Investing in Stocks, Bonds, and Mutual Funds | |
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Measurement | |
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Measuring Length; The Metric System | |
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Measuring Area and Volume | |
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Measuring Weight and Temperature | |
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Geometry | |
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Points, Lines, Planes, and Angles | |
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Triangles | |
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Polygons, Quadrilaterals, and Perimeter | |
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Area and Circumference | |
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Volume | |
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Right Triangle Trigonometry | |
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Beyond Euclidian Geometry | |
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Counting Methods and Probability Theory | |
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The Fundamental Counting Principle | |
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Permutations | |
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Combinations | |
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Fundamentals of Probability | |
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Probability with the Fundamental Counting Principle, Permutations, and Combinations | |
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Events Involving Not and Or; Odds | |
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Events Involving And; Conditional Probability | |
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Expected Values | |
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Statistics | |
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Sampling, Frequency Distributions, and Graphs | |
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Measures of Central Tendency | |
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Measures of Dispersion | |
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The Normal Distribution | |
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Scatter Plots, Correlation, and Regression Lines | |
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Mathematical Systems | |
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Mathematical Systems | |
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Rotational Symmetry, Groups, and Clock Arithmetic | |
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Answers to Selected Exercises | |
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Subject Index | |
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Photo Credits | |