Experimental mathematics in the society of the future
David H. Bailey
University of California at Davis, USAJonathan M. Borwein
The University of Newcastle, Callaghan, Australia
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Abstract
Computer-based tools for mathematics are changing how mathematics is researched, taught and communicated to society. Future technology trends point to ever-more powerful tools in the future. Computation in mathematics is thus giving rise to a new mode of mathematical research, where algorithms, datasets and public databases are as significant as the resulting theorems, and even the definition of what constitutes secure mathematical knowledge is seen in a new light.