## A Beginner’s Guide to Finite Mathematics: For Business, Management, and the Social SciencesThis concise text takes a distinctly applied approach to finite mathematics at the freshman and sophomore level. Topics are presented sequentially: the book opens with a brief review of sets and numbers, followed by an introduction to data sets, histograms, means and medians. Counting techniques and the Binomial Theorem are covered, which provides the foundation for elementary probability theory; this, in turn, leads to basic statistics. Graph theory is defined, with particular emphasis on its use in mathematical modeling. Matrices and vectors are discussed, along with several elementary commercial applications. The book concludes with an introduction to linear programming, including the simplex method and duality. Ample examples and illustrations are provided throughout; each section contains two sets of problems, with solutions provided for the first set. Requiring little mathematical background beyond high school algebra, the text will be especially useful for business and liberal arts majors. Its straightforward treatment of the essential concepts in finite mathematics will appeal to a wide audience of students and teachers. |

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### Contents

Numbers and Sets | xi |

12 Equations and Inequalities | 7 |

13 Sums | 14 |

14 Elements of Set Theory | 20 |

15 Venn Diagrams | 28 |

16 Averages | 35 |

Counting | 43 |

22 Arrangements | 50 |

44 Eulers Theorem and Eulerizations | 155 |

45 Types of Graphs | 164 |

46 Hamiltonian Cycles | 170 |

47 Graph Representations and Colorings | 178 |

Matrices | 185 |

52 Systems of Linear Equations | 192 |

53 Formal Solution of Systems of Equations | 201 |

54 Matrices and Vectors | 209 |

23 Selections | 55 |

24 More About Selections | 61 |

Probability | 69 |

32 Probability Measures | 76 |

33 NonUniform Probabilities | 83 |

34 Counting and Probability | 91 |

35 Stochastic Processes | 98 |

36 More About Conditional Probability | 106 |

37 Bayes Formula and Applications | 114 |

38 Further Examples of Bayes Formula | 122 |

39 Expected Values | 127 |

Graph Theory | 135 |

42 Graphs | 142 |

43 Some Properties of Graphs | 148 |

55 Vector and Matrix Products | 217 |

56 Inverses | 225 |

57 More About Inverses | 232 |

Linear Programming | 239 |

62 The Geometric Method | 248 |

63 Linear Programming in Higher Dimensions | 257 |

64 Pivoting | 264 |

65 The Simplex Method | 274 |

66 The Two Phase Simplex Method | 291 |

Your Turn Solutions | 303 |

Answers to Exercises A | 331 |

Index | 349 |

### Other editions - View all

A Beginner’s Guide to Finite Mathematics: For Business, Management, and the ... W.D. Wallis No preview available - 2013 |

### Common terms and phrases

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