The place of the theory of functions of a real variable among the mathematical disciplines

  • Fyodor A. Medvedev
Part of the Science Networks · Historical Studies book series (SNHS, volume 7)


Examining the monographs and textbooks on the theory of functions, one may notice that, as a rule, they do not give any comparatively brief definition of the subject matter of this mathematical discipline, as is done, for example, for topology—the study of the properties of topological spaces that are invariant under homeomorphisms—or algebra—the study of operations on elements of sets of arbitrary nature. The definition of the theory of functions occasionally encountered, as the study of the general properties of functions, is essentially a tautology.


Classical Analysis Real Variable Trigonometric Series Functional Continuum Mathematical Discipline 
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Copyright information

© Springer Basel AG 1991

Authors and Affiliations

  • Fyodor A. Medvedev
    • 1
  1. 1.Institute for History of Science and TechnologyMoskvaUSSR

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