Mathematics in Our World

One Problem Solving 1-1 The Nature of Mathematical Reasoning 1-2 Problem Solving 1-3 Estimation Two Sets 2-1 The Nature of Sets 2-2 Subsets and Set Operations 2-3 Venn Diagrams 2-4 Using Sets to Solve Problems 2-5 Infinite Sets Three Logic 3-1 Statements 3-2 Truth Tables 3-3 Types of Statements 3-4 Arguments 3-5 Euler Circles Four Numeration Systems 4-1 Early and Modern Numeration Systems 4-2 Base Number Systems 4-3 Operations in Base Numbers Five The Real Number System 5-1 The Natural Numbers 5-2 The Integers 5-3 The Rational Numbers 5-4 The Irrational Numbers 5-5 The Real Numbers 5-6 Exponents and Scientific Notation 5-7 Arithmetic and Geometric Sequences Six Other Mathematical Systems 6-1 Clock Arithmetic 6-2 Modular Systems 6-3 Mathematical Systems without Numbers Seven Topics in Algebra 7-1 Fundamental Concepts of Algebra 7-2 Solving Linear Equations 7-3 Applications of Linear Equations 7-4 Solving Linear Inequalities 7-5 Ratio, Proportion, and Variation 7-6 Solving Quadratic Equations Eight Additional Topics in Algebra 8-1 The Rectangular Coordinate System and the Line 8-2 Systems of Linear Equations 8-3 Systems of Linear Inequalities 8-4 Linear Programming 8-5 Functions Nine Consumer Mathematics 9-1 Percent 9-2 Interest 9-3 Installment Buying 9-4 Home Ownership 9-5 Markup and Markdown Ten Geometry 10-1 Points, Lines, Planes, and Angles 10-2 Triangles 10-3 Polygons and Perimeter 10-4 Areas of Polygons and the Circle 10-5 Surface Area and Volume 10-6 Right Triangle Trigonometry 10-7 Networks Eleven Probability and Counting Techniques 11-1 Basic Concepts of Probability 11-2 Tree Diagrams, Tables, and Sample Spaces 11-3 Odds and Expectation 11-4 The Addition Rules for Probability 11-5 The Multiplication Rules and Conditional Probability 11-6 The Fundamental Counting Rule and Permutations 11-7 Combinations 11-8 Probability Using Permutations and Combinations Twelve Statistics 12-1 The Nature of Statistics and Organizing Data 12-2 Picturing Data 12-3 Measures of Average 12-4 Measures of Variation 12-5 Measures of Position 12-6 The Normal Distribution 12-7 Applications of the Normal Distribution 12-8 Correlation and Regression Analysis Thirteen Voting Methods 13-1 Preference Tables and the Plurality Method 13-2 The Borda Count Method and the Plurality-with-Elimination Method 13-3 The Pairwise Comparison Method and Approval Voting Appendix A Measurement Appendix B Trigonometric Ratios Appendix C Area Under the Standard Normal Distribution Appendix D Significan Values for the Correlation Coefficient Appendix E Using the Ti83+ Graphing CalculatorBluman, Allan G. is the author of 'Mathematics in Our World', published 2004 under ISBN 9780072451078 and ISBN 0072451076.