Applied Finite Mathematics - Hardcover

Tomastik, Edmond

9780030972584: Applied Finite Mathematics

Hardcover

ISBN 10: 0030972582 ISBN 13: 9780030972584

Publisher: Brooks Cole, 1994

Text is ideal for a one-semester finite mathematics course for business, economics, life and social science students. Business and non-business majors will benefit from this book which contains many detailed practical examples and real-life applications for both audiences. This text motivates learning by weaving contemporary real-life applications together with conceptual mathematics. This class-tested book also features numerous pedagogic tools, self-help exercises, graphing calculator problems and instructor aids. Features: * Many sections open with a practical, applied problem expressed in familiar vocabulary that is used throughout the section in examples and then solved after the necessary mathematics have been developed. * Excellent, step-by-step explanations for translating word problems into appropriate mathematically solvable formulas. * Self-help exercises precede each exercise set enabling students to test their mastery of skills and readiness for the exercises. * Optional graphing calculator exercises are grouped together at the end of appropriate sections and are supported by an appendix designed to familiraize students with their calulators and give them important programs. * Probability is presented as a natural phenomena in business and science. Empirical probability is used to show how the abstract definition of probability arises, resulting in practical insights into probability and statistics. * Unique Chapter 11 offers coverare of dynamic systems with an emphasis on mathematical modeling and qualitative behavior. Both linear and nonlinear logistic equations are discussed. * Abundant pedagogy includes Definition, Theorem and Procedure boxes, Warnings, historical comments, and concise chapter reviews.

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Applications Index. 1. CARTESIAN COORDINATES AND LINES. Sets and the Cartesian Coordinate System. Lines. Linear Modules. Method of Least Squares. 2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Introduction to systems of Linear Equations. General Systems of Linear Equations. Introduction to Matrices. Matrix Multiplication. Inverse of a Square Matrix. Leontief Input-Output Models. 3. LINEAR PROGRAMMING: THE GRAPHICAL METHOD. Graphing Linear Inequalities. Graphical Solution of Linear Programming Problems. More Linear Programming. 4. LINEAR PROGRAMMING: THE SIMPLEX METHOD. Slack Variables and the Simplex Tableau. The Simplex Method: Standard Maximization Problems. Minimization Problems and the Dual. The Simplex Method: Nonstandard and Minimization Problems. Post-Optimal Analysis. 5. MATHEMATICS OF FINANCE. Simple Interest and Discount. Compound Interest. Annuities and Sinking funds. Present Value of Annuities and Amortization. 6. SETS AND COUNTING. Sets. The Number of Elements in a Set. The Multiplication of Principle, Permutations. Combinations. Binomial Theorem, Partitions. 7. PROBABILITY. The Basis of Probability. Empirical and Intuitive Probability. Mathematical Probability. Spaces With Equally Likely Outcomes. Conditional Probability. Bayes? Theorem. Bernoulli Trials. Solution to Game Show Problem. 8. STATISTICS AND PROBABILITY DISTRIBUTIONS. Probability Distributions. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Normal Approximation to the Binomial Distribution. Poisson Distribution. 9. MARKOV PROCESSES. Markov Processes. Regular Markov Processes. Absorbing Markov Processes. 10. GAME THEORY. Strictly Determined Games. Mixed Strategy Games. Linear Programming and Game Theory. 11. DISCRETE DYNAMICAL SYSTEMS AND MATHEMATICAL MODELS. Linear Dynamical systems and Mathematical Models. Nonhomogeneous Linear Dynamical Systems. Qualitative Behavior. Qualitative Behavior (Continued). Nonlinear Dynamical Systems. Nonlinear Dynamical Systems with Cycles. 12. LOGIC. Introduction to Logic. Truth Tables. Implication and Equivalence. Laws of Logic. Arguments. Switching Networks. APPENDIXES. Special Topics. Tables. The Graphing Calculator. Answers. Index.

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