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Finite Mathematics (With InfoTrac),9780534419493
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Finite Mathematics (With InfoTrac)

by
Edition:
3rd
ISBN13:

9780534419493

ISBN10:
0534419496
Format:
Paperback
Pub. Date:
6/19/2003
Publisher(s):
Brooks Cole
List Price: $146.33

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This is the 3rd edition with a publication date of 6/19/2003.
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Summary

1. FUNCTIONS AND LINEAR MODELS. Introduction. Functions from the Numerical and Algebraic Viewpoints. Functions from the Graphical Viewpoint. Linear Functions. Linear Models. Linear Regression. Case Study: Modeling Spending on Internet Advertising. Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions. 2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Introduction. Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations. Case Study: The Impact of Regulating Sulfur Emissions. 3. MATRIX ALGEBRA AND APPLICA TIONS. Introduction. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Input-Output Models. Case Study: The Japanese Economy. 4. LINEAR PROGRAMMING. Introduction. Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality (Optional). Case Study: Airline Scheduling. 5. THE MATHEMATICS OF FINANACE. Introduction. Simple Interest. Compound Interest. Annuities, Loans, and Bonds. Case Study: Saving for College. 6. SETS AND COUNTING. Introduction. Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations. Case Study: Designi ng a Puz zle. 7. PROBABILITY. Introduction. Sample Spaces and Events. Estimated Probability. Empirical Probability. Probability and Counting Techniques. Probability Distributions. Conditional Probability and Independence. Bayes' Theorem and Applications. Case Study: The Monty Hall Problem. 8. RANDOM VARIABLES AND STATISTICS. Introduction. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions. Case Study: Spotting Tax Fraud with Benford's Law. Optional Internet Topics: Sampling Distributions and the Central Limit Theorem. Confidence Intervals. Hypothesis Testing. 9. MARKOV SYSTEMS. Introduction. Markov Systems. Distribution Vectors and Powers of the Transition Matrix. Long-Range Behavior of Regular Markov Systems. Absorbing Markov Systems. Case Study: Predicting the Price of Gold. OPTIONAL INTERNET CHAPTERS. G. Game Theory. Introduction. Two-Person Zero Sum Games; Reduction by Dominance. Strictly Determined Games. Solving Games using the Simplex Method. Expert Opinion--arves ting Forests. L. Introduction to Logic. Introduction. Statements and Logical Operators. Logical Equivalence, Tautologies and Contradictions. The Conditional and the Biconditional. Tautological Implications and Tautological Equivalences. Rules of Inference. Arguments and Proofs. Appendix A: Real Numbers. Appendix B: Table: Area Under a Normal Curve. Answers to Selected Exercises. Index.

Table of Contents

1. FUNCTIONS AND LINEAR MODELS
Introduction
Functions from the Numerical and Algebraic Viewpoints
Functions from the Graphical Viewpoint
Linear Functions
Linear Models
Linear Regression
Case Study: Modeling Spending on Internet Advertising
Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions
2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES
Introduction
Systems of Two Equations in Two Unknowns
Using Matrices to Solve Systems of Equations
Applications of Systems of Linear Equations
Case Study: The Impact of Regulating Sulfur Emissions
3. MATRIX ALGEBRA AND APPLICATIONS
Introduction
Matrix Addition and Scalar Multiplication
Matrix Multiplication
Matrix Inversion
Input-Output Models
Case Study: The Japanese Economy
4. LINEAR PROGRAMMING
Introduction
Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
The Simplex Method: Solving Standard Maximization Problems
The Simplex Method: Solving General Linear Programming Problems
The Simplex Method and Duality (Optional)
Case Study: Airline Scheduling
5. THE MATHEMATICS OF FINANACE
Introduction
Simple Interest
Compound Interest
Annuities, Loans, and Bonds
Case Study: Saving for College
6. SETS AND COUNTING
Introduction
Set Operations
Cardinality
The Addition and Multiplication Principles
Permutations and Combinations
Case Study: Designing a Puzzle
7. PROBABILITY
Introduction
Sample Spaces and Events
Estimated Probability
Empirical Probability
Probability and Counting Techniques
Probability Distributions
Conditional Probability and Independence
Bayes' Theorem and Applications
Case Study: The Monty Hall Problem
8. RANDOM VARIABLES AND STATISTICS
Introduction
Random Variables and Distributions
Bernoulli Trials and Binomial Random Variables
Measures of Central Tendency
Measures of Dispersion
Normal Distributions
Case Study: Spotting Tax Fraud with Benford's Law
Optional Internet Topics: Sampling Distributions and the Central Limit Theorem
Confidence Intervals
Hypothesis Testing
9. MARKOV SYSTEMS
Introduction
Markov Systems
Distribution Vectors and Powers of the Transition Matrix
Long-Range Behavior of Regular Markov Systems
Absorbing Markov Systems
Case Study: Predicting the Price of Gold
OPTIONAL INTERNET CHAPTERS
G
Game Theory
Introduction
Two-Person Zero Sum Games; Reduction by Dominance
Strictly Determined Games
Solving Games using the Simplex Method
Expert Opinion--arvesting Forests
L
Introduction to Logic
Introduction
Statements and Logical Operators
Logical Equivalence, Tautologies and Contradictions
The Conditional and the Biconditional
Tautological Implications and Tautological Equivalences
Rules of Inference
Arguments and Proofs
Appendix A: Real Numbers
Appendix B: Table: Area Under a Normal Curve
Answers to Selected Exercises
Index


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