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The Mathematical Sciences in 2025
When I was asked to chair a committee of mathematical scientists
charged with examining the field now with an eye toward how it needs
to evolve to produce the best value for the country by 2025, I demurred
because I am not a mathematical scientist. The counter was that therefore I
would not be biased, could be objective to prevent possible internal politics
from “capturing” the report, and would be continuing a tradition of having
such committees chaired by nonexperts. The assignment was educational
in many ways.
The committee was extraordinary in its makeup, with experts from
the core of mathematics as well as from departments of statistics and computer
science, from both academia and industry. My eyes were opened to
the power of the mathematical sciences today, not only as an intellectual
undertaking in their own right but also as the increasingly modern foundation
for much of science, engineering, medicine, economics, and business.
The increasingly important challenges of deriving knowledge from huge
amounts of data, whether numerical or experimental, of simulating complex
phenomena accurately, and of dealing with uncertainty intelligently are
some of the areas where mathematical scientists have important contributions
to make going forward—and the members of this committee know
it. They have demonstrated a great capacity to envision an emerging era
in which the mathematical sciences underpin much of twenty-first century
science, engineering, medicine, industry, and national security. I hope that
this report persuades many others to embrace that vision.
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