## A Survey of Finite MathematicsOutstanding undergraduate text, especially suitable for non-mathematics majors, introduces basic concepts and the fundamental ideas of linear algebra and the theory of convex sets. Topics include sets, functions, combinatorial matrix theory, linear equations, geometry of convex sets, game theory, Markov chains, more. Includes 150 worked examples and over 1200 exercises. Answers to selected exercises. Bibliography. 1969 edition. |

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### Contents

Fundamentals | 3 |

Linear Algebra | 153 |

combination Matrixvector product Product of matrices 1dentity | 168 |

Composition of incidence matrices Agf AgAf Qui2 | 186 |

Convexity | 279 |

Answers to Quizzes and Selected Exercises | 397 |

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1n other words 1t follows According to Theorem analy2e assume coefficient column stochastic components compute consisting contains convex convex function convex set corresponding Definition denote diagonal of 1's diagram dice elementary events elementary matrices elementary row operations elements equal equivalent Example Exercise exists extreme point F F F F T F False function girls given half-space Hence Hermite normal form Hint hyperplane incidence matrix induction inequalities intersection least linearly independent mathematical induction Moreover n-set n-tuple n-vector natural number non-2ero nonnegative nonsingular notation optimum strategy outcome pairs pi A p2 player positive entries precisely probability measure probability space problem proof prove Qui2 r-selection real numbers result S2 U S2 sample space satisfies sequence set of solutions Show Similarly stochastic matrix submatrix subsets Suppose system of linear term rank Theorem 5.1 theory true truth value value F