## Number TheoryAlthough mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. |

### What people are saying - Write a review

overall good book, should offer more background and examples similar to the homework questions asked. I'm finding this book to be interestingly challenging

accessible for most people with a basic math vocabulary. overall interesting - especially if you like math and if you're looking for a good reference on number theory.

### Contents

MULTIPLICATIVITYDIVISIBILITY | 1 |

BASIS REPRESENTATION | 3 |

THE FUNDAMENTAL THEOREM OF ARITHMETIC | 12 |

COMBINATORIAL AND COMPUTATIONAL NUMBER THEORY | 30 |

FUNDAMENTALS OF CONGRUENCES | 49 |

SOLVING CONGRUENCES | 58 |

ARITHMETIC FUNCTIONS | 75 |

PRIMITIVE ROOTS | 93 |

QUADRATIC RESIDUES | 115 |

DISTRIBUTION OF QUADRATIC RESIDUES | 128 |

ADDITIVITY | 139 |

SUMS OF SQUARES | 141 |

ELEMENTARY PARTITION THEORY | 149 |

PARTITION GENERATING FUNCTIONS | 160 |

PARTITION IDENTITIES | 175 |

GEOMETRIC NUMBER THEORY | 199 |