MTU Cork Library Catalogue

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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, 1877-1938.
Contributor(s): Steinhardt, Frederick P.
Material type: materialTypeLabelBookPublisher: New York : Chelsea Pub. Co., 1966Edition: 3rd ed.Description: xiv, 136 p. ; 24 cm. + hbk.ISBN: 0828400792.Subject(s): Mathematical analysis | CalculusDDC classification: 515.2
Contents:
Natural numbers -- Fractions -- Cuts -- Real numbers -- Complex numbers.
Holdings
Item 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
Total holds: 0

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

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