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Is Maple or Mathematica preffered over the other for Cryptography/Number Theory? What are the advantages for each in terms of this area of mathematics?

Also could someone compare and contrast between Maple and Mathematica in terms of the following branches of mathematics (briefly):

  • Discrete (Combinatorics, Graph Theory, ...)
  • Analysis (Real, Complex, ...)
  • Algebra (Linear, Abstract, ...)
  • Applied (differetial equations, modeling, ...)
  • Logic
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    You might want to edit the second paragraph. The imperative voice can be grating to some readers. The second request is also somewhat broad...2012-09-01
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    The question is very broad. Many people have strong preferences, sometimes based on which program they have experience with. If you don't pose a more specific problem, I suspect there isn't a good answer.2012-09-01

5 Answers 5