## Nature of MathematicsWritten for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics, Karl Smith introduces students to Polya's problem-solving techniques and shows them how to use these techniques to solve unfamiliar problems that they encounter in their own lives. Through the emphasis on problem solving and estimation, along with numerous in-text study aids, students are assisted in understanding the concepts and mastering the techniques. In addition to the problem-solving emphasis, THE NATURE OF MATHEMATICS is renowned for its clear writing, coverage of historical topics, selection of topics, level, and excellent applications problems. Smith includes material on such practical real-world topics as finances (e.g. amortization, installment buying, annuities) and voting and apportionment. With the help of this text, thousands of students have experienced mathematics rather than just do problems--and benefited from a writing style that boosts their confidence and fosters their ability to use mathematics effectively in their everyday lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

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### Contents

The Nature Of Sets | 48 |

The Nature Of Logic | 82 |

The Nature Of Numeration Systems | 134 |

The Nature Of Numbers | 174 |

The Nature Of Algebra | 250 |

The Nature Of Geometry | 330 |

The Nature Of Networks And Graph Theory | 388 |

The Nature Of Measurement | 426 |

The Nature Of Probability | 606 |

The Nature Of Statistics | 660 |

The Nature Of Graphs And Functions | 714 |

The Nature Of Mathematical Systems | 756 |

The Nature Of Voting And Apportionment | 812 |

The Nature Of Calculus | 870 |

Why Not Math? Mathematics In The Natural Sciences Social Sciences And Humanities | 589 |

Appendices | 601 |

### Common terms and phrases

2010 Cengage Learning algebra angles answer antiderivative arithmetic base Borda count calculator called candidate chapter compounded Condorcet criterion Consider copied Copyright 2010 Cengage counting numbers cube curve decimal digits divisor Due to electronic duplicated eBook and/or eChapter(s electronic rights equation Example F T F factor formula fraction geometric sequence geometry given graph HISTORICAL QUEST integers interest inverse linear logarithm look mathematics matrix mean measure method monthly multiplication natural numbers nearest notation numeration system operations pair payment percent population possible probability Problem Set Problem Solving Pythagorean theorem ratio real numbers rectangle Rights Reserved scanned selected sequence shown in Figure sides Solution square statement subtraction Suppose suppressed symbol theorem third party content triangle truth table variables Venn diagram vertical votes whole winner wins WORDS Write www.mathnature.com