Editors:
- Top-level computational mathematicians wrote on current research topics inspired by an Abel Foundation sponsored workshop
- Includes supplementary material: sn.pub/extras
Part of the book series: Abel Symposia (ABEL, volume 3)
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Table of contents (6 papers)
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Front Matter
About this book
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.
Editors and Affiliations
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Department of Mathematics, University of Bergen, Bergen, Norway
Hans Munthe-Kaas
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Department of Mathematical Sciences, NTNU, Trondheim, Norway
Brynjulf Owren
Bibliographic Information
Book Title: Mathematics and Computation, a Contemporary View
Book Subtitle: The Abel Symposium 2006
Editors: Hans Munthe-Kaas, Brynjulf Owren
Series Title: Abel Symposia
DOI: https://doi.org/10.1007/978-3-540-68850-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-68848-8Published: 29 September 2008
Softcover ISBN: 978-3-642-08841-4Published: 22 November 2010
eBook ISBN: 978-3-540-68850-1Published: 23 October 2008
Series ISSN: 2193-2808
Series E-ISSN: 2197-8549
Edition Number: 1
Number of Pages: XIV, 127
Topics: Numerical Analysis, Software Engineering/Programming and Operating Systems, Theory of Computation, Computational Mathematics and Numerical Analysis, Mathematics of Computing