## Fundamental Concepts of Mathematics, Volume 1The title of the book reflects very well its content. This two-volume set is extremely useful to all those who are interested in learning mathematics well. |

### From inside the book

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### Contents

Introduction The Nature of Mathematics | 1 |

and The Integers | 27 |

The Integers and Rational Numbers | 45 |

The Rational and Irrational Numbers | 75 |

The Theory of Sets | 125 |

More Arithmetic | 247 |

Mensuration Dimensional Analysis | 295 |

Logic and Proof | 337 |

Relations Functions and Graphs | 437 |

Investigating Patterns and Other Number Bases | 527 |

More Number Theory | 583 |

### Common terms and phrases

additive inverses Answers to Exercise arithmetic arithmetic sequence column common fraction decimal point Definition denominator divide dyadic relations element equal equation equivalence relation equivalent Euclidean Algorithm EXAMPLE expanded form expressed F F F F T F false function geometric sequence graph greatest common divisor identity inverse irrational number k₁ mathematical induction mathematics method minuend multiply natural numbers negative non-zero Note nth term number in base number line obtain odd integer ordered pairs P V Q period positive integer positive number prime numbers prob Proof propositions Prove quotient rational number real number relation relatively prime respectively Rule of Divisibility sequence significant digits SOLUTION statement subset subtract symbol symmetric Table tautology Theorem Thrm triangle true truth values whole numbers write zero