Primality
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Description: Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic.
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%PDF-1.2 6 0 obj > endobj 8 0 obj (The Fundamental Theorem) endobj 10 0 obj > endobj 12 0 obj (Prime numbers) endobj 14 0 obj > endobj 16 0 obj (Euclid's Algorithm) endobj 18 0 obj > endobj 20 0 obj (Ideals) endobj 22 0 obj > endobj 24 0 obj (The Fundamental Theorem of Arithmetic) endobj 26 0 obj > endobj 28 0 obj (The Fundamental Theorem, recast) endobj 30 0 obj > endobj 32 0 obj (Principal ideals domains) endobj 34 0 obj > endobj 36 0 obj (Polynomial rings) endobj 38 0 obj > endobj 40 0 obj (Postscript) endobj 42 0 obj > endobj 44 0 obj (Number fields) endobj 46 0 obj > endobj 48 0 obj (Algebraic numbers) endobj 50 0 obj > endobj 52 0 obj (Minimal polynomials and conjugates) endobj 54 0 obj > endobj 56 0 obj (Algebraic number fields) endobj 58 0 obj > endobj 60 0 obj (Algebraic integers) endobj 62 0 obj > endobj 64 0 obj (Units) endobj 66 0 obj > endobj 68 0 obj (The Integral Basis Theorem) endobj 70 0 obj > endobj 72 0 obj (Unique factorisation in number rings) endobj 74 0 obj > endobj 76 0 obj (Quadratic Number Fields) endobj 78 0 obj > endobj 80 0 obj (The fields Q\(m\)) endobj 82 0 obj > endobj 84 0 obj (Conjugates and norms) endobj 86 0 obj > endobj 88 0 obj (Integers) endobj 90 0 obj > endobj 92 0 obj (Units) endobj 94 0 obj > endobj 96 0 obj (Unique factorisation) endobj 98 0 obj > endobj 100 0 obj (The splitting of rational primes) endobj 102 0 obj > endobj 104 0 obj (Quadratic residues) endobj 106 0 obj > endobj 108 0 obj (Gauss' Law of Quadratic Reciprocity) endobj 110 0 obj > endobj 112 0 obj (Some quadratic fields) endobj 114 0 obj > endobj 116 0 obj (The gaussian field Q\(i\)) endobj 118 0 obj > endobj 120 0 obj (The field Q\(3\)) endobj 122 0 obj > endobj 124 0 obj (The field Q\(5\)) endobj 126 0 obj > endobj 128 0 obj (Mersenne and Fermat numbers) endobj 130 0 obj >
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