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Mathematics - Computational Science & Engineering | Mathematics and Computation, a Contemporary View - The Abel Symposium 2006

Mathematics and Computation, a Contemporary View

The Abel Symposium 2006

Proceedings of the Third Abel Symposium, Alesund, Norway, May 25-27, 2006

Series: Abel Symposia, Vol. 3

Munthe-Kaas, Hans, Owren, Brynjulf (Eds.)

2008, XIV, 127 p.

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  • Top-level computational mathematicians write on current research topics inspired by an Abel Foundation sponsored workshop

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.

We are witnessing a development where a focus on computability, computing and algorithms is contributing towards a unification of areas of computer science, applied and pure mathematics. The 2006 Abel symposium brought together some of the leading international researchers working in these areas, presented a snapshot of current state of the art, and raised questions about future research directions.

Content Level » Research

Keywords » Abel symposia - algorithms - applied mathematics - complexity - computability - computational mathematics - computer science - programming

Related subjects » Computational Science & Engineering - Software Engineering - Theoretical Computer Science

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