The 2006 Abel symposium is focusing on contemporary research
involving interaction between computer science, computational
science and mathematics. In recent years, computation has been
affecting pure mathematics in fundamental ways. Conversely, ideas
and methods of pure mathematics are becoming increasingly important
within computational and applied mathematics. At the core of
computer science is the study of computability and complexity for
discrete mathematical structures. Studying the foundations of
computational mathematics raises similar questions concerning
continuous mathematical structures. There are several reasons for
these developments. The exponential growth of computing power is
bringing computational methods into ever new application areas.
Equally important is the advance of software and programming
languages, which to an increasing degree allows the representation
of abstract mathematical structures in program code. Symbolic
computing is bringing algorithms from mathematical analysis into
the hands of pure and applied mathematicians, and the combination
of symbolic and numerical techniques is becoming increasingly
important both in computational science and in areas of pure
mathematics.
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