Finite Mathematics

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9780618372218: Finite Mathematics

The Second Edition of this engaging text for the one-semester finite mathematics course uses intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers.A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills.

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About the Author:

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has received several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on CONTINUED FRACTIONS (1992) was hailed by Ivan Niven as "an outstanding addition to the literature of mathematics," and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal The Pentagon from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals, including Mathematical Reviews for the American Mathematical Society.

Review:

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 Mere 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

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