The Concept of Function at the Beginning of the 20th Century

@article{Biacino2018TheCO,
  title={The Concept of Function at the Beginning of the 20th Century},
  author={Loredana Biacino},
  journal={Transversal: International Journal for the Historiography of Science},
  year={2018}
}
  • L. Biacino
  • Published 9 December 2018
  • Mathematics
  • Transversal: International Journal for the Historiography of Science
The evolution of the concept of function at the beginning of the 20th century in France after the definitions by Dirichlet and Riemann and the introduction of several pathological functions is studied. Some young mathematicians of those years (Baire, known for his classification of discontinuous functions, Borel and Lebesgue famous for their new theories on measure and integration) made several attempts to propose a large class of functions as “accessible” objects. Their discussions, their… 

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