Mathematics
Finite Mathematics, 2nd Edition
ISBN-10: 0618372210 ISBN-13: 9780618372218
656 Pages Casebound
© 2005 Published
- Overview
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- About the Author
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- Table of Contents
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- Features
Table of Contents
Note: Each chapter concludes with a Chapter Summary with Hints and Suggestions and Review Exercises.
1. Functions
Application Preview: World Record Mile Runs
1.1 Real Numbers, Inequalities, and Lines
1.2 Exponents
1.3 Functions
1.4 Functions, Continued
1.5 Exponential Functions
1.6 Logarithmic Functions
2. Mathematics of Finance
Application Preview: Musical Instruments as Investments
2.1 Simple Interest
2.2 Compound Interest
2.3 Annuities
2.4 Amortization
3. Systems of Equations and Matrices
Application Preview: A "Taxing" Problem
3.1 Systems of Two Linear Equations in Two Variables
3.2 Matrices and Linear Equations in Two Variables
3.3 Systems of Linear Equations and the Gauss-Jordan Method
3.4 Matrix Arithmetic
3.5 Inverse Matrices and Systems of Linear Equations
3.6 Introduction to Modeling: Leontief Models and Least Squares
4. Linear Programming
Application Preview: Managing an Investment Portfolio
4.1 Linear Inequalities
4.2 Two-Variable Linear Programming Problems
4.3 The Simplex Method for Standard Maximum Problems
4.4 Standard Minimum Problems and Duality
4.5* Nonstandard Problems: The Dual Pivot Element and the Two-Stage Method
4.6* Nonstandard Problems: Artificial Variables and the Big-M Method
* These two sections provide alternate methods for solving the same types of problems. The choice of which to cover is left to the Instructor.
5. Probability
Application Preview: The Chevalier de Meré
5.1 Sets, Counting, and Venn Diagrams
5.2 Permutations and Combinations
5.3 Probability Spaces
5.4 Conditional Probability and Independence
5.5 Bayes' Formula
5.6 Random Variables and Distributions
6. Statistics
Application Preview: Household Income
6.1 Random Samples and Data Organization
6.2 Measures of Central Tendency
6.3 Measures of Variation
6.4 Normal Distributions and Binomial Approximation
7. Markov Chains
Application Preview: Weather in Sri Lanka
7.1 States and Transitions
7.2 Regular Markov Chains
7.3 Absorbing Markov Chains
8. Game Theory
Application Preview: Sherlock Holmes and James Moriarty
8.1 Two-Person Games and Saddle Points
8.2 Mixed Strategies
8.3 Games and Linear Programming
Appendix: Normal Probabilities Using Tables
Answers to Selected Exercises
Index
Available on the Web
L. Logic
L.1 Statements and Connectives
Application Preview: Grammar, Logic, and Rhetoric
L.2 Truth Tables
Application Preview: Circuits
L.3 Implications
Application Preview: "If..., then..." as a Computer Instruction
L.4 Valid Arguments
Application Preview: Fuzzy Logic and Artificial Intelligence
L.5 Quantifiers and Euler Diagrams
Application Preview: The Dog Walking Ordinance
Chapter Projects and Essays