## A modern introduction to basic mathematics |

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### Contents

Mathematical Reasoning and Creativity 1 lntroduction | 1 |

lnductive reasoning | 2 |

Deductive reasoning | 5 |

Copyright | |

151 other sections not shown

### Common terms and phrases

A A B additive identity additive inverse algebra algorithm angles arithmetic mod associative law bers Boolean algebra casting out nines commutative law complex numbers congruent considered corresponding decimal numerals defined definition distributive law division element equation equivalence class Euclid's example expanded numeral F F F F T F false fractional numeral fractional symbols geometry graph illustrate inductive reasoning integers law of addition ln fact ln other words mathematical system measure modular arithmetics multiplicative identity multiplicative inverse named natural numbers negation negative numbers nested intervals nonzero notation number system numbers of arithmetic obtained odd numbers operation ordered pairs polynomials possible prime factorization prime number probability proof properties Prove Theorem rational numbers real numbers relation remainder result Review Practice Exercises REVlEW PRACTlCE EXERClSES ring segment sentence square root subtraction system of rational Theorem lll tion triangle true variables whole numbers zero