Description
Book SynopsisTable of ContentsPreface Chapter 1 Problem Solving: Strategies and Principles 1.1 Problem Solving 1.2 Inductive and Deductive Reasoning 1.3 Estimation Chapter 2 Set Theory: Using Mathematics to Classify Objects 2.1 The Language of Sets 2.2 Comparing Sets 2.3 Set Operations 2.4 Survey Problems 2.5 Looking Deeper: Infinite Sets Chapter 3 Logic: The Study of What’s True or False or Somewhere in Between 3.1 Statements, Connectives, and Quantifiers 3.2 Truth Tables 3.3 The Conditional and Biconditional 3.4 Verifying Arguments 3.5 Using Euler Diagrams to Verify Syllogisms 3.6 Looking Deeper: Fuzzy Logic Chapter 4 Graph Theory (Networks): The Mathematics of Relationships 4.1 Graphs, Puzzles, and Map Coloring 4.2 The Traveling Salesperson Problem 4.3 Directed Graphs 4.4 Looking Deeper: Scheduling Projects Using PERT Chapter 5 Numeration Systems: Does It Matter How We Name Numbers? 5.1 The Evolution of Numeration Systems 5.2 Place Value Systems 5.3 Calculating in Other Bases 5.4 Looking Deeper: Modular Systems Chapter 6 Number Theory and the Real Number System: Understanding the Numbers All Around Us 6.1 Number Theory 6.2 The Integers 6.3 The Rational Numbers 6.4 The Real Number System 6.5 Exponents and Scientific Notation 6.6 Looking Deeper: Sequences Chapter 7 Algebraic Models: How Do We Approximate Reality? 7.1 Linear Equations 7.2 Modeling with Linear Equations 7.3 Modeling with Quadratic Equations 7.4 Exponential Equations and Growth 7.5 Proportions and Variation 7.6 Modeling with Systems of Linear Equations and Inequalities 7.7 Looking Deeper: Dynamical Systems Chapter 8 Consumer Mathematics: The Mathematics of Everyday Life 8.1 Percents, Taxes, and Inflation 8.2 Interest 8.3 Consumer Loans 8.4 Annuities 8.5 Amortized Loans 8.6 Looking Deeper: Annual Percentage Rate Chapter 9 Geometry: Ancient and Modern Mathematics Embrace 9.1 Lines, Angles, and Circles 9.2 Polygons 9.3 Perimeter and Area 9.4 Volume and Surface Area 9.5 The Metric System and Dimensional Analysis 9.6 Geometric Symmetry and Tessellations 9.7 Looking Deeper: Fractals
