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Foundations of analysis : the arithmetic of whole, rational, irrational, and complex numbers / by Edmund Landau ; translated by F. Steinhardt.

Idioma: Inglés Lenguaje original: Alemán Editor: [New York] : Chelsea, 1951Descripción: xiv, 134 p. ; 24 cmOtra clasificación: 26-XX
Contenidos:
```Preface for the Student v
Preface for the Scholar vii
Chapter I
NATURAL NUMBERS
§ 1. Axioms [1]
§ 3. Ordering [9]
§ 4. Multiplication [14]
Chapter II
FRACTIONS
§ 1. Definition and Equivalence [19]
§2. Ordering [21]
§ 4. Multiplication [31]
§5. Rational Numbers and Integers [35]
Chapter III
CUTS
§ 1. Definition [43]
§2. Ordering [45]
§ 4. Multiplication [54]
§ 5. Rational Cuts and Integral Cuts [61]
Chapter IV
REAL NUMBERS
§ 1. Definition [69]
§2. Ordering [70]
§ 4. Multiplication [84]
§ 5. Dedekind’s Fundamental Theorem [89]
COMPLEX NUMBERS
§ 1. Definition [92]
§ 3. Multiplication [96]
§ 4. Subtraction [101]
§5. Division [102]
§6. Complex Conjugates [106]
§7. Absolute Value [108]
§ 8. Sums and Products [112]
§ 9. Powers [126]
§ 10. Incorporation of the Real Numbers into the System of Complex Numbers [131]```
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Libros ordenados por tema 26 L253f (Browse shelf) Available A-1998

A supplement to textbooks on the differential and integral calculus.

Translation of: Grundlagen der Analysis.

Preface for the Student v --
Preface for the Scholar vii --
Chapter I --
NATURAL NUMBERS --
§ 1. Axioms [1] --
§ 3. Ordering [9] --
§ 4. Multiplication [14] --
Chapter II --
FRACTIONS --
§ 1. Definition and Equivalence [19] --
§2. Ordering [21] --
§ 4. Multiplication [31] --
§5. Rational Numbers and Integers [35] --
Chapter III --
CUTS --
§ 1. Definition [43] --
§2. Ordering [45] --
§ 4. Multiplication [54] --
§ 5. Rational Cuts and Integral Cuts [61] --
Chapter IV --
REAL NUMBERS --
§ 1. Definition [69] --
§2. Ordering [70] --
§ 4. Multiplication [84] --
§ 5. Dedekind’s Fundamental Theorem [89] --
COMPLEX NUMBERS --
§ 1. Definition [92] --
§ 3. Multiplication [96] --
§ 4. Subtraction [101] --
§5. Division [102] --
§6. Complex Conjugates [106] --
§7. Absolute Value [108] --
§ 8. Sums and Products [112] --
§ 9. Powers [126] --
§ 10. Incorporation of the Real Numbers into the System of Complex Numbers [131] --

MR, MR0038404

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