国外高校优秀教材审定委员会 主任委员：杨叔子 委员（按姓氏笔画为序）： 王先逵、王大康、白峰彬、史荣昌、朱孝禄、陆启韶、张润琦、张策、张三慧、张福润、张延华、吴宗泽、吴麒、宋心琦、李俊峰、佘远斌、陈文楷、陈立周、单辉祖、俞正光、赵汝嘉、郭可谦、翁海珊、龚光鲁、章栋恩、黄永畅、谭泽光

1 SET THEORY:Using Mathematics to Classify objects
1.1 Problem Solving
1.2 The Language of Sets
1.3 Comparing Sets
1.4 Set Operations
1.5 Survey Problems
Chapter Summary
Chapter Test
Of Further Interest: Fuzzy Sets
2 LOGIC: The Study of What#s True or False or Somewhere in Between
2.1 Statements, Connectives, and Quantifiers
2.2 Truth Tables
2.3 The Conditional and Biconditional
2.4 Verifying Arguments
2.5 Using Euler Diagrams to Verify Syllogisms
Chapter Summary
Chapter Test
Of Further Interest: Fuzzy Logic
3 GRAPH THEORY:The Mathematics of Relationships
3.1 Graphs, Puzzles, and Map Coloring
3.2 The Traveling Salesperson Problem
3.3 Directed Graphs
3.4 Scheduling Projects Using PERT
Chapter Summary
Chapter Test
Of Further Interest: Finite State Machines
4 LEGISLATIVE APPORTIONMENT: How Do We Measure Fairness?
4.1 Understanding Apportionment
4.2 Inequalities
4.3 The Huntington-Hill Apportionment Principle
4.4 Apportioning a Representative Board
4.5 Other Applications of Apportionment
Chapter Summary
Chapter Test
Of Further Interest: Fair Division
5 VOTING:Using Mathematics to Make Choices
5.1 Voting Methods
5.2 Defects in Voting Methods
5.3 Weighted Voting Systems
Chapter Summary
Chapter Test
Of Further Interest: The Shapley-Shubik Index
6 CONSUMER MATHEMATICS:The Mathematics of Everyday Life
6.1 Interest
6.2 Consumer Loans
6.3 Annuities
6.4 Amortization
Chapter Summary
Chapter Test
Of Further Interest: The Annual Percentage Rate
7 DATA: How Do We Know What Is True?
7.1 Surveys and Survey Biases
7.2 Determining the Accuracy of Surveys
Chapter Summary
Chapter Test
Of Further Interest: Experiments
8 DESCRIPTIVE STATISTICS: What a Data Set Tells Us
8.1 Organizing and Visualizing Data
8.2 Measures of Central Tendency
8.3 Measures of Dispersion
8.4 The Normal Distribution
Chapter Summary
Chapter Test
Of Further Interest: Linear Correlation
9 COUNTING:Just How Many Are There?
9.1 Introduction to Counting Methods
9.2 The Fundamental Counting Principle
9.3 Permutations and Conbinations
9.4 Pascal#s Triangle
Chapter Summary
Chapter Test
Of Further Interest: Counting and Gambling
10 PROBABILITY: What Are the Chances?
10.1 The Basics of Probability Theory
10.2 Complements and Unions of Events
10.3 Conditional Probability and Intersections of Events
10.4 Expected Value
Chapter Summary
Chapter Test
Of Further Interest: Binomial Experiments
11 ALGEBRAIC MODELS:How Do We Approximate Reality?
11.1 Linear Equations
11.2 Modeling with Linear Equations
11.3 Modeling with Quadratic Equations
11.4 Exponential Equations and Growth
Chapter Summary
Chapter Test
Of Further Interest: Dynamical Systems
12 GEOMETRY: Ancient and Modern Mathematics Embrace
12.1 Lines, Angles ,and Circles
12.2 Polygons
12.3 Perimeter and Area
12.4 Volume and Surface Area
12.5 Geometric Symmetry and Tessellations
Chapter Summary
Chapter Test
Of Further Interest: Fractals
13 MATRICES: Calculating with Tables of Numerical Information
13.1 Matrix Terminology and Operations
13.2 Matrix Multiplication
13.3 Transformational Geomentry
13.4 More Transformations and Homogeneous Coordinates
Chapter Summary
Chapter Test
Of Further Interest: Matrices and Directed Graphs
Answers to Quiz Yourself
Answers to Exercises