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

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

Abstract

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.

Keywords

Classical Analysis Real Variable Trigonometric Series Functional Continuum Mathematical Discipline 
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 Basel AG 1991

Authors and Affiliations

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

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