FINITE MATHEMATICS

Contents Note: Each chapter concludes with a Summary with Hints and Suggestions, Review Exercises, and Projects and Essays. 1. Functions 1.1 Real Numbers, Inequalities, and Lines Application Preview: World-Record Mile Runs 1.2 Exponents Application Preview: Size, Shape, and Exponents 1.3 Functions Application Preview: Functional Drunkenness 1.4 Functions, continued Application Preview: Automobile Efficiency and Rational Functions 1.5 Exponential Functions Application Preview: Exponential Functions and the World's Worst Currency 1.6 Logarithmic Functions Application Preview: Carbon-14 Dating and the Shroud of Turin 2. Mathematics of Finance 2.1 Simple Interest Application Preview: Benjamin Franklin's Will 2.2 Compound Interest Application Preview: Musical Instruments as Investments 2.3 Annuities Application Preview: Retirement Planning 2.4 Amortization Application Preview: Loan Repayment and the Rule of 78 3. Matrices and Systems of Equations 3.1 Systems of Two Linear Equations in Two Variables Application Preview: A "Taxing" Problem 3.2 Matrices and Linear Equations in Two Variables Application Preview: Spreadsheets 3.3 Systems of Linear Equations and the Gauss-Jordan Method Application Preview: Ancient Chinese Mathematics 3.4 Matrix Arithmetic Application Preview: Matrices and Computers 3.5 Inverse Matrices and Systems of Linear Equations Application Preview: Sensitivity Analysis 3.6 Two Applications 4. Linear Programming 4.1 Linear Inequalities Application Preview: Northwest Airlines and Crew Schedules 4.2 Two-Variable Linear Programming Problems Application Preview: Managing an Investment Portfolio 4.3 The Simplex Method for Standard Maximum Problems Application Preview: George Dantzig and the Origins of the Simplex Method 4.4 Duality and Standard Minimum Problems Application Preview: Diet Problems and "The Cost of Subsistence" 4.5 Nonstandard Problems: The Dual Pivot Element and the Two-Stage Method Application Preview: Kantorovich and Production Planning 4.6 Nonstandard Problems: Artificial Variables and the Big-M Method Application Preview: Kantorovich and Production Planning 5. Probability 5.1 Sets, Counting, and Venn Diagrams Application Preview: The Chevalier de MÉrÉ 5.2 Permutations, Combinations, and the Binomial Theorem Application Preview: Starting Lineups 5.3 Probability Spaces Application Preview: Coincidences 5.4 Conditional Probability and Indedepence Application Preview: Independence and the Law 5.5 Bayes' Theorem Application Preview: Airline Hijacking 5.6 Random Variables and Distributions Application Preview: Home Run Records 6. Statistics 6.1 Random Samples and Data Organization Application Preview: Roosevelt and Landon in 1936 6.2 Measures of Central Tendency Application Preview: Household Incomes 6.3 Measures of Variation Application Preview: Pain, Suffering, and Statistics 6.4 Normal Distributions and Binomial Approximation Application Preview: The Bell-Shape Curve 7. Markov Chains 7.1 States and Transitions Application Preview: Weather in Sri Lanka 7.2 Regular Markov Chains Application Preview: Hidden Markov Models and Genetics 7.3 Absorbing Markov Chains Application Preview: Random Walks 8. Logic 8.1 Statements and Connectives Application Preview: Grammar, Logic, and Rhetoric 8.2 Truth Tables Application Preview: Circuits 8.3 Implications Application Preview: "If..., then..." as a Computer Instruction 8.4 Valid Arguments Application Preview: Fuzzy Logic and Artificial Intelligence 8.5 Quantifiers and Euler Diagrams Application Preview: The Dog Walking OrdinanceBerresford, Geoffrey C. is the author of 'FINITE MATHEMATICS', published 2000 under ISBN 9780395985748 and ISBN 0395985749.