The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

Educational Studies in Mathematics, Vol. 80, No. 3 (July 2012), pp. 287-306 (20 pages) The present study focuses on the accumulation process involved in the integration of a single-variable function.

We first define the q-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of ...