## The real number system |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Deductive systems | 1 |

Order properties | 28 |

Completeness property | 46 |

Copyright | |

1 other sections not shown

### Common terms and phrases

ab)r agrees in sign Archimedean principle Archimedean property argument associative postulate called Cancellation laws central angle Chapter closure postulate commutative laws commutative postulate completeness postulate complex number construction contradiction coordinate line corollary to Theorem decimal fraction deductive system defined definition of division distributive postulate dyadic fraction element Euclidean geometry example EXERCISES Figure following theorem geometric Hence hypothesis implies inequality inscripture irrational number laws of exponents least upper bound Lemma natural number negative postulate nonempty notation number N odd integer order relation ordered field positive integer positive number positive real number primitive terms proof of Theorem quotient rational coordinates rational number rational powers real number system reciprocal postulate repeating decimal right-hand endpoint Section set of real solution Solve the equation statement summands superpositions symbol Theorem 13 Theorem 31 transitivity of equality unending decimal unit postulate unit segment valid well-definedness zero postulate