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Foundations of analysis

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Author(s): Edmund Landau
Publisher: Chelsea
Year: 1966

Language: English
Pages: 148

Title page......Page 1
Preface for the Student......Page 3
Preface for the Scholar......Page 5
Axioms......Page 13
Addition......Page 15
Ordering......Page 21
Multiplication......Page 26
§1. Definition and Equivalence......Page 31
§2. Ordering......Page 33
§3. Addition......Page 38
§4. Multiplication......Page 43
§5. Rational Numbers and Integers......Page 47
§1. Definition......Page 55
§2. Ordering......Page 57
§3. Addition......Page 60
§4. Multiplication......Page 66
§5. Rational Cuts and Integral Cuts......Page 73
§1. Definition......Page 81
§2. Ordering......Page 82
§3. Addition......Page 87
§4. Multiplication......Page 96
§5. Dedekind's Fundamental Theorem......Page 101
§1. Definition......Page 104
§2. Addition......Page 105
§3. Multiplication......Page 108
§4. Subtraction......Page 113
§5. Division......Page 114
§6. Complex Conjugates......Page 118
§7. Absolute Value......Page 120
§8. Sums and Products......Page 124
§9. Powers......Page 138
§10. Incorporation of the Real Numbers into the System of Complex Numbers......Page 143