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Digital file of Mathematics All Around, 4th Edition for sale
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Category : Higher Education
1. Problem Solving: Strategies and Principles 1.1 Problem Solving 1.2 Inductive and Deductive Reasoning 1.3 Estimation 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 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 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 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 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 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 Functions 7.7 Looking Deeper: Dynamical Systems 8. Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It? 8.1 Systems of Linear Equations 8.2 Systems of Linear Inequalities 8.3 Looking Deeper: Linear Programming 9. Consumer Mathematics: The Mathematics of Everyday Life 9.1 Percent 9.2 Interest 9.3 Consumer Loans 9.4 Annuities 9.5 Amortization 9.6 Personal Finance 9.7 Looking Deeper: The Annual Percentage Rate 10. Geometry: Ancient and Modern Mathematics Embrace 10.1 Lines, Angles, and Circles 10.2 Polygons 10.3 Perimeter and Area 10.4 Volume and Surface Area 10.5 The Metric System and Dimensional Analysis 10.6 Geometric Symmetry and Tessellations 10.7 Looking Deeper: Fractals 11. Apportionment: How Do We Measure Fairness? 11.1 Understanding Apportionment 11.2 The Huntington-Hill Apportionment Principle 11.3 Applications of the Apportionment Principle 11.4 Other Paradoxes and Apportionment Methods 11.5 Looking Deeper: Fair Division 12. Voting: Using Mathematics to Make Choices 12.1 Voting Methods 12.2 Defects in Voting Methods 12.3 Weighted Voting Systems 12.4 Looking Deeper: The Shapley-Shubik Index 13. Counting: Just How Many Are There? 13.1 Introduction to Counting Methods 13.2 The Fundamental Counting Principle 13.3 Permutations and Combinations 13.4 Looking Deeper: Counting and Gambling 14. Probability: What Are the Chances? 14.1 The Basics of Probability Theory 14.2 Complements and Unions of Events 14.3 Conditional Probability and Intersections of Events 14.4 Expected Value 14.5 Looking Deeper: Binomial Experiments 15. Descriptive Statistics: What a Data Set Tells Us 15.1 Organizing and Visualizing Data 15.2 Measures of Central Tendency 15.3 Measures of Dispersion 15.4 The Normal Distribution 15.5 Looking Deeper: Linear Correlation Appendix A Basic Mathematics Review Table of Contents
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