Axioms for the Field ℝ of Real Numbers

  • Sterling K. Berberian
Part of the Undergraduate Texts in Mathematics book series (UTM)


What are the real numbers and what can they do for us? The goal of this chapter is to give a working answer to the first question (the remaining chapters address the second). The present chapter should be regarded as a leisurely definition; read no more than is necessary to have a feeling for the axioms.


Positive Integer Rational Number Nonzero Element Nonempty Subset Positive Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Sterling K. Berberian
    • 1
  1. 1.Department of MathematicsThe University of Texas at AustinAustinUSA

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