## Additive Number Theory: Inverse Problems and the Geometry of SumsetsMany classical problems in additive number theory are direct problems, in which one starts with a set |

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### Contents

III | 1 |

IV | 7 |

V | 13 |

VI | 18 |

VII | 21 |

VIII | 29 |

IX | 31 |

X | 33 |

XL | 142 |

XLI | 152 |

XLII | 163 |

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XLV | 174 |

XLVI | 177 |

XLVII | 180 |

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XI | 35 |

XII | 41 |

XIII | 42 |

XIV | 43 |

XV | 48 |

XVI | 52 |

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XVIII | 62 |

XIX | 67 |

XX | 73 |

XXI | 74 |

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XXIII | 78 |

XXIV | 81 |

XXV | 89 |

XXVI | 92 |

XXVII | 95 |

XXVIII | 98 |

XXIX | 101 |

XXX | 106 |

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XXXIII | 110 |

XXXIV | 117 |

XXXV | 127 |

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XXXVII | 131 |

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XXXIX | 135 |

XLIX | 190 |

L | 194 |

LI | 196 |

LIII | 201 |

LIV | 203 |

LV | 205 |

LVI | 209 |

LVII | 212 |

LVIII | 217 |

LIX | 221 |

LX | 226 |

LXI | 227 |

LXII | 231 |

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LXIV | 238 |

LXV | 244 |

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LXVIII | 255 |

LXIX | 257 |

LXX | 270 |

LXXI | 277 |

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LXXVI | 292 |