Magma - A Tool for Number Theory

  • John Cannon
  • Steve Donnelly
  • Claus Fieker
  • Mark Watkins
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6327)

Abstract

Magma [1,2,5] is a computer algebra system developed by the group of John Cannon at the University of Sydney, together with many collaborators around the world, and was first released in 1994. Based on experience obtained from the group theory system Cayley (1975-2005), also developed by Cannon et al, Magma is designed to be a general algebra system with an strong emphasis on the structural aspects of algebra. The goal is to provide a framework for implementing algorithms at a much higher level of abstraction than CA systems such as Maple and Mathematica. Magma currently provides support for most of classical algebra (groups, rings, fields), algebraic geometry, algebraic combinatorics and coding theory (this list is not exhaustive.)

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References

  1. 1.
    Bosma, W., Cannon, J. (eds.): Discovering Mathematics with Magma. Algorithms and Computations in Mathematics, vol. 19. Springer, Heidelberg (2006)MATHGoogle Scholar
  2. 2.
    Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symbolic Comp. 24(3-4), 235–265 (1997)MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Daberkow, M., Fieker, C., Klüners, J., Pohst, M., Roegner, K., Wildanger, K.: KANT V4. J. Symbolic Comp. 24, 267–283 (1997)MATHCrossRefGoogle Scholar
  4. 4.
    Kant/KaSH: KaSH - the KANT Shell, http://www.math.tu-berlin.de/~kant
  5. 5.
    Magma: The Magma computational algebra system for algebra, number theory and geometry, http://magma.maths.usyd.edu.au/magma/

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • John Cannon
    • 1
  • Steve Donnelly
    • 1
  • Claus Fieker
    • 1
  • Mark Watkins
    • 1
  1. 1.School of Mathematics and StatisticsUniversity of Sydney 

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