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Algebraic Numbers and Their Polynomials

  • Arthur Jones
  • Kenneth R. Pearson
  • Sidney A. Morris
Chapter
  • 477 Downloads
Part of the Universitext book series (UTX)

Abstract

Straightedge and compass constructions can he used to produce line segments of various lengths relative to some preassigned unit length. Although the lengths are all real numbers, it turns out that not every real number can be obtained in this way. The lengths which can be constructed are rather special.

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Additional Reading for Chapter 2

  1. [GB]
    G. Birkhoff and S. MacLane, A Survey of Modern Algebra, New York, Macmillan, 1953.zbMATHGoogle Scholar
  2. [IN1]
    I. Niven, Numbers: Rational and Irrational, Random House, New York, 1961.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Arthur Jones
    • 1
  • Kenneth R. Pearson
    • 1
  • Sidney A. Morris
    • 2
  1. 1.Department of MathematicsLa Trobe UniversityBundooraAustralia
  2. 2.Faculty of InformaticsUniversity of WollongongWollongongAustralia

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