Lamé hypersurfaces and Lagrange multipliers

• Mark McCartney ^[1]
  1. [1] University of Ulster

     University of Ulster

     Reino Unido

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 47, Nº. 2, 2016, págs. 315-322
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Starting with a standard calculus problem of finding the rectangle of maximum area, which can be inscribed in an ellipse, we generalizethe result to Lamé curves and hypersurfaces, before investigating the volume enclosed by a generalized Lamé hypersurface. Suggestions of classroom use and a selection of possible classroom exercises are also given.