| |
| |
Normal 0 false false false? | |
| |
| |
Preface | |
| |
| |
Index of Applications | |
| |
| |
| |
Linear Equations and Straight Lines | |
| |
| |
| |
Coordinate Systems and Graphs | |
| |
| |
| |
Linear Inequalities | |
| |
| |
| |
The Intersection Point of a Pair of Lines | |
| |
| |
| |
The Slope of a Straight Line | |
| |
| |
| |
The Method of Least Squares | |
| |
| |
| |
Break-even Analysis | |
| |
| |
| |
Matrices | |
| |
| |
| |
Solving Systems of Linear Equations, I | |
| |
| |
| |
Solving Systems of Linear Equations, II | |
| |
| |
| |
Arithmetic Operations on Matrices | |
| |
| |
| |
The Inverse of a Matrix | |
| |
| |
| |
The Gauss-Jordan Method for Calculating Inverses | |
| |
| |
| |
Input-Output Analysis | |
| |
| |
| |
Population Dynamics | |
| |
| |
| |
Linear Programming, A Geometric Approach | |
| |
| |
| |
A Linear Programming Problem | |
| |
| |
| |
Linear Programming, I | |
| |
| |
| |
Linear Programming, II | |
| |
| |
| |
Shadow Prices | |
| |
| |
| |
The Simplex Method | |
| |
| |
| |
Slack Variables and the Simplex Tableau | |
| |
| |
| |
The Simplex Method, I: Maximum Problems | |
| |
| |
| |
The Simplex Method, II: Minimum Problems | |
| |
| |
| |
Sensitivity Analysis and Matrix Formulations of Linear Programming Problems | |
| |
| |
| |
Duality | |
| |
| |
| |
Shadow Prices | |
| |
| |
| |
Sets and Counting | |
| |
| |
| |
Sets | |
| |
| |
| |
A Fundamental Principle of Counting | |
| |
| |
| |
Venn Diagrams and Counting | |
| |
| |
| |
The Multiplication Principle | |
| |
| |
| |
Permutations and Combinations | |
| |
| |
| |
Further Counting Problems | |
| |
| |
| |
The Binomial Theorem | |
| |
| |
| |
Multinomial Coefficients and Partitions | |
| |
| |
| |
Pascal's Triangle | |
| |
| |
| |
Probability | |
| |
| |
| |
Introduction | |
| |
| |
| |
Experiments, Outcomes, Samples and Events | |
| |
| |
| |
Assignment of Probabilities | |
| |
| |
| |
Calculating Probabilities of Events | |
| |
| |
| |
Conditional Probability and Independence | |
| |
| |
| |
Tree Diagrams | |
| |
| |
| |
Bayes' Theorem | |
| |
| |
| |
Simulation | |
| |
| |
| |
Two Paradoxes | |
| |
| |
| |
Probability and Statistics | |
| |
| |
| |
Representation of Data | |
| |
| |
| |
Frequency and Probability Distributions | |
| |
| |
| |
Binomial Trials | |
| |
| |
| |
The Mean | |
| |
| |
| |
The Variance and Standard Deviation | |
| |
| |
| |
The Normal Distribution | |
| |
| |
| |
Normal Approximation to the Binomial Distribution | |
| |
| |
| |
An Unexpected Expected Value | |
| |
| |
| |
Markov Processes | |