Finite Mathematics Practical Applications

By: Johnson, David BContributor(s): Mowry, Thomas AMaterial type: TextTextLanguage: English Publication details: USA Brooks/Cole Publishing company 1999Description: xv,538 pISBN: 0534947824 (HB)Subject(s): Mathematics | Endliche Mathematik | Mathematics
Contents:
1. Linear equations Lines and their equations Functions Linear models in business and economics Linear regression 2. Systems of linear equations and inequalities The elimination method Introduction to matrices and the Gauss-Jordan method More on the Gauss-Jordan method Linear inequalities The geometry of linear programming 3. Linear programming Introduction to the simplex method The simplex method: Complete problems Mixed constraints and minimization Shadow values Duality 4. Matrix equations Matrix arithmetic Inverse matrices The Gauss-Jordon method and inverses Leontief input-output models 5. Sets and counting Sets and set operations Applications of Venn diagrams Introduction to combinatorics Permutations and combinations 6. Probability Introduction to probability Probability distributions Basic rules of probability Combinatorics and probability Probability distributions and expected value Conditional probability Independence Bayes' theorem 7. Markov chains Introduction to Markov chains Regular Markov chains Absorbing Markov chains 8. Game theory Introduction to game theory Mixed strategies Game theory and linear programming 9. Statistics Frequency distributions Measures of central tendency Measures of dispersion The normal distribution Binomial experiments The normal approximation to the binomial distribution 10. Finance Simple interest Compound interest Annuities Amortized loans Annual percentage rate on a graphic calculator
Summary: Do you often find yourself asking 'why'? Why study mathematics? It's a question many students have asked over and over again; usually because they don't see the relevance of mathematics concepts to everyday life. David B. Johnson and Thomas A. Mowry strive to give readers an appreciation for an understanding of finite mathematics and its real-world applications. They show how topics in mathematics are usable and relevant to many careers. They also provide special optional subsections on the use of graphic calculators and computers; this optional material allows instructors to incorporate technology into their classes if and when they desire.
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1. Linear equations
Lines and their equations
Functions
Linear models in business and economics
Linear regression
2. Systems of linear equations and inequalities
The elimination method
Introduction to matrices and the Gauss-Jordan method
More on the Gauss-Jordan method
Linear inequalities
The geometry of linear programming
3. Linear programming
Introduction to the simplex method
The simplex method: Complete problems
Mixed constraints and minimization
Shadow values
Duality
4. Matrix equations
Matrix arithmetic Inverse matrices
The Gauss-Jordon method and inverses
Leontief input-output models
5. Sets and counting
Sets and set operations
Applications of Venn diagrams
Introduction to combinatorics
Permutations and combinations
6. Probability
Introduction to probability
Probability distributions
Basic rules of probability
Combinatorics and probability
Probability distributions and expected value
Conditional probability
Independence
Bayes' theorem
7. Markov chains
Introduction to Markov chains
Regular Markov chains
Absorbing Markov chains
8. Game theory
Introduction to game theory
Mixed strategies
Game theory and linear programming
9. Statistics
Frequency distributions
Measures of central tendency
Measures of dispersion
The normal distribution
Binomial experiments
The normal approximation to the binomial distribution
10. Finance
Simple interest
Compound interest
Annuities
Amortized loans
Annual percentage rate on a graphic calculator

Do you often find yourself asking 'why'? Why study mathematics? It's a question many students have asked over and over again; usually because they don't see the relevance of mathematics concepts to everyday life. David B. Johnson and Thomas A. Mowry strive to give readers an appreciation for an understanding of finite mathematics and its real-world applications. They show how topics in mathematics are usable and relevant to many careers. They also provide special optional subsections on the use of graphic calculators and computers; this optional material allows instructors to incorporate technology into their classes if and when they desire.

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