A geometric approach to calculus

• Autores: A. V. Grebe
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 5, 2013, págs. 721-732
• Idioma: inglés
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• Resumen

  • This investigation explores whether it would be possible to derive the calculus from a geometric basis. The article proves several rules of calculus for polynomials and explains how to differentiate and integrate arbitrary polynomial functions. Differentiation is performed by calculating the slope of a tangent line drawn to a function. Definite integration calculates the area under the graph of a function by comparing this area to a hypersolid's content using Cavalieri's principle.