Applied Finite MathematicsApplied Finite Mathematics, Second Edition presents the fundamentals of finite mathematics in a style tailored for beginners, but at the same time covers the subject matter in sufficient depth so that the student can see a rich variety of realistic and relevant applications. Some applications of probability, game theory, and Markov chains are given. Comprised of 10 chapters, this book begins with an introduction to set theory, followed by a discussion on Cartesian coordinate systems and graphs. Subsequent chapters focus on linear programming from a geometric and algebraic point of view; matrices, the solution of linear systems, and applications; the simplex method for solving linear programming problems; and probability and probability models for finite sample spaces as well as permutations, combinations, and counting methods. Basic concepts in statistics are also considered, along with the mathematics of finance. The final chapter is devoted to computers and programming languages such as BASIC. This monograph is intended for students and instructors of applied mathematics. |
Contents
| 1 | |
| 43 | |
CHAPTER 3 LINEAR PROGRAMMING A GEOMETRIC APPROACH | 83 |
CHAPTER 4 MATRICES AND LINEAR SYSTEMS | 102 |
CHAPTER 5 LINEAR PROGRAMMING AN ALGEBRAIC APPROACH | 155 |
CHAPTER 6 PROBABILITY | 201 |
CHAPTER 7 STATISTICS | 274 |
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applications assume average BASIC called cards chapter coin column compounded Consider contains corresponding curve defective denote described determine discuss elements entering entry equal equation exactly Example Exercise expected experiment Figure Find formula four frequencies genotype Aa give given graph heads illustrate independent instructions interest investment least linear programming linear system mathematics matrix Maximize mean method move multiply objective observed obtain occurs operations ordered ounces outcomes payoff period plant player points positive possible pounds PRINT probability problem random variable reader records represents requires result sample space satisfy selected sequence shown Solution solve square standard statement strategy success Suppose Table tableau third tossed units Write yields