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Computer algebra systems like FriCAS implement a very large number of mathematical algorithms. By that we mean:

mathematical

adj.

  1. Of or relating to mathematics.
  2. Meaning

    a Precise; exact. b Absolute; certain.

Ref: http://www.answers.com/mathematical&r=67

algorithm

n.

A step-by-step problem-solving procedure, especially an established, recursive computational procedure for solving a problem in a finite number of steps.

Ref: http://www.answers.com/algorithms&r=67


Links to other pages on related subjects:


Core algorithms in FriCAS deal with commutative algebra:

  • polynomial arithmetic
  • polynomial GCD and factorization
  • Groebner bases and triangular system

Support for calculus uses notion of kernel: kernels represent algebraic and transcendental functions. In arithmetic kernels behave like variables, but for example have interesting derivatives.




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