Joies matemàtiques

• Autores: Armengol Gasull i Embid
• Localización: NouBiaix: revista de la FEEMCAT i la SCM, ISSN-e 2014-7104, ISSN 1133-4282, Nº. 44, 2019, págs. 4-32
• Idioma: catalán
• Enlaces
  • Texto completo
• Resumen
  • català

    Un recull de demostracions senzilles i boniques que podem qualificar de petites, o grans, joies matemàtiques. Tot plegat dins la subjectivitat que presenten els termes «senzill» i «bonic». En aquest article, adreçat fonamentalment als entusiastes de les matemàtiques, s’exposen 20 demostracions que abracen des dels nombres primers, els números π i e, la geometria, els polinomis i les sèries. Podreu gaudir dels enunciats, les interpretacions i la mena d’arguments que han portat a les demostracions finals. Pot ser una magnifica porta a recopilacions molt més ambicioses.

  • English

    A collection of simple and beautiful proofs that could be described as small ´ or great ´ mathematical gems; not forgetting the subjectivity implicit in the terms «simple» and «beautiful». Aimed primarily at mathematics enthusiasts, this article presents 20 proofs encompassing prime numbers, the numbers π and e, geometry, polynomials and series.

    Follow and enjoy the various hypotheses, interpretations, and arguments that lead to the final solutions. The article may serve as a gateway to more challenging collections.

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