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Träfflista för sökning "L773:0746 8342 OR L773:1931 1346 "

Sökning: L773:0746 8342 OR L773:1931 1346

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1.
  • Birky, Geoffrey, et al. (författare)
  • One problem, nine student-produced proofs
  • 2011
  • Ingår i: The College Mathematics Journal. - : Informa UK Limited. - 0746-8342 .- 1931-1346. ; 42:5, s. 355-360
  • Tidskriftsartikel (refereegranskat)abstract
    • The context of this paper is a project aimed at meeting the challenges of teaching an introduction-to-proof course at our own institutions. These courses are typically taken by second year students intending to major in mathematics or computer science and are taught in sections of 15 to 24 students. These students benefit from being given the freedom to explore different methods of proof without the presumption that they will use a certain method.  This is the story of how what could have been a routine, closed problem became an open one.
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2.
  • Tossavainen, Timo, et al. (författare)
  • We Can Differentiate Numbers, Too
  • 2024
  • Ingår i: The College Mathematics Journal. - : Taylor & Francis. - 0746-8342 .- 1931-1346. ; 55:2, s. 100-108
  • Tidskriftsartikel (refereegranskat)abstract
    • We survey the history of the arithmetic derivative and more recent advances in research on this topic. Among other things, we discuss a few generalizations of the original arithmetic derivative and some arithmetic differential equations that are related to Goldbach’s conjecture and the twin prime conjecture. Our primary purpose is to give an overview of this field, but we also aim at providing supplementary material for an introductory course on discrete mathematics or number theory. Therefore, our survey contains ten exercises.
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