Basic Concepts

  • Richard Beals
Part of the Graduate Texts in Mathematics book series (GTM, volume 12)


One feature of modern mathematics is the use of abstract concepts to provide a language and a unifying framework for theories encompassing numerous special cases and examples. Two important examples of such concepts, that of “metric space” and that of “vector space,” will be taken up later in this chapter. In this section we discuss briefly the concepts, even more basic, of “set” and of “function.”


Vector Space Complex Number Basic Concept Limit Point Nonempty Subset 
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Copyright information

© Springer Science+Business Media New York 1973

Authors and Affiliations

  • Richard Beals
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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