Foundations of analysis : the arithmetic of whole, rational, irrational and complex numbers : a supplement to text-books on the differential and integral calculus / Edmund Landau ; translated by F. Steinhardt.
By: Landau, Edmund.
Contributor(s): Steinhardt, Frederick P.
Material type: BookPublisher: New York : Chelsea Pub. Co., 1966Edition: 3rd ed.Description: xiv, 136 p. ; 24 cm. + hbk.ISBN: 0828400792.Subject(s): Mathematical analysis | CalculusDDC classification: 515.2Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Lending | 515.2 (Browse shelf(Opens below)) | 1 | Available | 00075199 |
Previous ed.: 1960.
Includes index.
Natural numbers -- Fractions -- Cuts -- Real numbers -- Complex numbers.
Translation of: Grundlagen der analysis.
Table of contents provided by Syndetics
- Natural Numbers
- 1.1 Axioms
- 1.2 Addition
- 1.3 Ordering
- 1.4 Multiplication
- Fractions
- 2.1 Definition and equivalence
- 2.2 Ordering
- 2.3 Addition
- 2.4 Multiplication
- 2.5 Rational numbers and integers
- Cuts
- 3.1 Definition
- 3.2 Ordering
- 3.3 Addition
- 3.4 Multiplication
- 3.5 Rational cuts and integral cuts
- Real Numbers
- 4.1 Definition
- 4.2 Ordering
- 4.3 Addition
- 4.4 Multiplication
- 4.5 Dedekind's fundamental theorem
- Complex Numbers
- 5.1 Definition
- 5.2 Addition
- 5.3 Multiplication
- 5.4 Subtraction
- 5.5 Division
- 5.6 Complex conjugates
- 5.7 Absolute value
- 5.8 Sums and products
- 5.9 Powers
- 5.10 Incorporation of the real numbers into the system of complex numbers