Fractional Calculus – Mathematical Association of America

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Calculus for Teachers: Complex Differentiation

By David Bressoud @dbressoud As of 2024, new Launchings columns appear on the third Tuesday of the month. It was Cauchy in 1821 who first began studying complex-valued functions defined on the complex plane. He was actually sitting on almost 70 years of what amounted to research into these functions. The input defines a point in...

From wandering to wayfinding: Moving Beyond Shiny Object Syndrome

By Lew Ludwig "The deep breath before the plunge" - a sentiment Gandalf shares with Pippin in the Return of the King. This phrase often runs through my mind as the last days of summer break wind down and the new school year is about to begin. To be clear, I do not see the new...

Theory and Numerical Approximations of Fractional Integrals and Derivatives

The fractional calculus, with its fractional derivatives and integrals, goes back as far as Leibnitz. Up until about 1970 it was at most a peripheral topic. In the years since 1970 the number of publications using the fractional calculus has grown enormously. Interest in the subject is driven in part by applications in physics and...