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· 제목 : Math and Human Society (Paperback, 1st)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수학사/수학 철학
· ISBN : 9781465213877
· 쪽수 : 240쪽
· 출판일 : 2013-01-16
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수학사/수학 철학
· ISBN : 9781465213877
· 쪽수 : 240쪽
· 출판일 : 2013-01-16
목차
- 1 Modeling
- 1.1 Scientific Notation
- 1.1.2 Exercises
- 1.2 Percents
- 1.2.2 Markup, markdown, and sale price
- 1.2.3 Sales tax
- 1.2.4 Exercises
- 1.3 Introduction to Modeling
- 1.3.1 Definition of function
- 1.3.2 First models
- 1.4 Linear Models
- 1.4.1 Definition of linear function
- 1.4.2 Slope of a line
- 1.4.3 y-intercept
- 1.4.4 Equation of a line
- 1.4.5 Exercises
- 1.5 Quadratic Models
- 1.5.1 Definition of quadratic function
- 1.5.2 Finding the vertex of a parabola
- 1.5.3 Sketching parabolas
- 1.5.4 Finding the x-intercepts of a parabola
- 1.5.5 Exercises
- 1.6 Exponential Models
- 1.6.1 Definition of exponential function
- 1.6.2 Exercises
- 1.7 Logarithmic models
- 1.7.1 Logarithms of numbers
- 1.7.2 Common and natural logarithms
- 1.7.3 A magical property of logarithms
- 1.7.4 Logarithm functions
- 1.7.5 Exercises
- 1.8 Review Problems
- 2 Financial Mathematics
- 2.1 Simple Interest
- 2.1.2 Future value
- 2.1.3 Exercises
- 2.2 Introduction to Microsoft Excel
- 2.2.1 Getting started
- 2.2.2 Formulas
- 2.2.3 Copying formulas
- 2.2.4 Forcing Excel to use the cell you want
- 2.2.5 Exercises
- 2.3 Credit Card Debt
- 2.3.2 Exercises
- 2.4 Compound Interest
- 2.4.1 Computations
- 2.4.2 Nominal versus effective interest rate
- 2.4.3 Back to the future
- 2.4.4 Exercises
- 2.5 Present Value
- 2.5.1 The idea of present value
- 2.5.2 Application of present value to bonds
- 2.5.3 Exercises
- 2.6 Annuities and Mortgages
- 2.6.2 Principal and interest in amortized loans
- 2.6.3 Exercises
- 2.7 Review Problems
- 3 Descriptive Statistics
- 3.1 Introduction to Statistics
- 3.1.1 Population and sample
- 3.1.2 Parameter and statistic
- 3.1.3 Sampling
- 3.1.4 Categorical and numerical data
- 3.1.5 Exercises
- 3.2 Graphing Categorical Data: Bar Graphs and Pie Charts
- 3.2.1 Introduction
- 3.2.2 Bar graphs
- 3.2.3 Pie charts
- 3.2.4 Exercises
- 3.3 Line Graphs
- 3.3.2 Exercises
- 3.4 Making Graphs in Excel
- 3.4.1 Bar graphs
- 3.4.2 Pie charts
- 3.4.3 Line graphs
- 3.4.4 Exercises
- 3.5 Averages: Measures of Central Tendency
- 3.5.1 Mean
- 3.5.2 Median
- 3.5.3 Mode
- 3.5.4 Use of mean, median, and mode
- 3.5.5 Exercises
- 3.6 Variability
- 3.6.1 Range
- 3.6.2 Sample variance
- 3.6.3 Sample standard deviation
- 3.6.4 Exercises
- 3.7 Descriptive Statistics in Excel
- 3.7.1 Using Excel's built-in functions
- 3.7.2 Exercises
- 3.8 Graphing Numerical Data: Stem-and-Leaf Diagrams
- 3.8.2 Exercises
- 3.9 Graphing Numerical Data: Frequency Tables and Histograms
- 3.9.1 Frequency tables
- 3.9.2 Histograms
- 3.9.3 Calculating descriptive statistics from a frequency table
- 3.9.4 Exercises
- 3.10 Lying with Statistics
- 3.10.2 Exercises
- 3.11 Review Problems
- 4 Voting and Apportionment
- 4.1 Voting
- 4.1.1 Majority rule
- 4.1.2 Plurality
- 4.1.3 Hare
- 4.1.4 Borda count
- 4.1.5 Pairwise comparison
- 4.1.6 Approval
- 4.1.7 True majority rule
- 4.1.8 Condorcet's Jury Theorem
- 4.1.9 Exercises
- 4.2 Voting Problems
- 4.2.2 Fairness in voting
- 4.2.3 Arrow's Impossibility Theorem
- 4.2.4 Gaming voting systems
- 4.2.5 The agenda effect
- 4.2.6 Exercises
- 4.3 Apportionment
- 4.3.1 A bit of history
- 4.3.2 Adams' method
- 4.3.3 Jefferson's method
- 4.3.4 Hamilton's method
- 4.3.5 Webster's method
- 4.3.6 The Huntington-Hill method
- 4.3.7 Exercises
- 4.4 Review Problems
- Appendix A. In-Class Exercises
- Appendix B. Answers to (Almost) All the Exercises
- Index
