The underlying space for all the analysis in this book is the set of real numbers. In this chapter we set down some basic properties of this set. These properties will serve as our axioms in the sense that it is possible to derive all the properties of the real numbers using only these axioms. However, we will avoid getting bogged down in this endeavor. Some readers may wish to refer to the appendix on set notation.


Real Number Natural Number Rational Number Triangle Inequality Nonempty Subset 
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Kenneth A. Ross
    • 1
  1. 1.Department of MathematicsUniversity of OregonEugeneUSA

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