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Advanced Calculus

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  • 526pagine
  • 19 ore di lettura

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The evolution of advanced calculus in undergraduate mathematics reveals a significant shift in curriculum focus over the past fifty years. Initially a core subject, it gradually gave way to real analysis as educators prioritized rigorous foundations. This led to a bifurcation in calculus courses, with one path exploring complex topics like calculus on n-manifolds and another simplifying to two- and three-dimensional calculus. However, the traditional depth of advanced calculus is often lost, particularly in addressing the complexities of several functions of several variables within limited course time.

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Advanced Calculus, James J. Callahan

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2010
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