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-XXPreface for the Student v Preface for the Scholar vii Chapter I NATURAL NUMBERS § 1. Axioms [1] §2. Addition [3] § 3. Ordering [9] § 4. Multiplication [14] Chapter II FRACTIONS § 1. Definition and Equivalence [19] §2. Ordering [21] § 3. Addition [26] § 4. Multiplication [31] §5. Rational Numbers and Integers [35] Chapter III CUTS § 1. Definition [43] §2. Ordering [45] § 3. Addition [48] § 4. Multiplication [54] § 5. Rational Cuts and Integral Cuts [61] Chapter IV REAL NUMBERS § 1. Definition [69] §2. Ordering [70] § 3. Addition [75] § 4. Multiplication [84] § 5. Dedekind’s Fundamental Theorem [89] COMPLEX NUMBERS § 1. Definition [92] § 2. Addition [93] § 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]
Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
---|---|---|---|---|---|---|---|---|
Libros | Instituto de Matemática, CONICET-UNS | 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] --
§2. Addition [3] --
§ 3. Ordering [9] --
§ 4. Multiplication [14] --
Chapter II --
FRACTIONS --
§ 1. Definition and Equivalence [19] --
§2. Ordering [21] --
§ 3. Addition [26] --
§ 4. Multiplication [31] --
§5. Rational Numbers and Integers [35] --
Chapter III --
CUTS --
§ 1. Definition [43] --
§2. Ordering [45] --
§ 3. Addition [48] --
§ 4. Multiplication [54] --
§ 5. Rational Cuts and Integral Cuts [61] --
Chapter IV --
REAL NUMBERS --
§ 1. Definition [69] --
§2. Ordering [70] --
§ 3. Addition [75] --
§ 4. Multiplication [84] --
§ 5. Dedekind’s Fundamental Theorem [89] --
COMPLEX NUMBERS --
§ 1. Definition [92] --
§ 2. Addition [93] --
§ 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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