FriCAS

FriCAS

FriCAS is an open source computer algebra system that specializes in symbolic computation. It has a powerful engine for manipulating mathematical expressions and can be used for calculus, number theory, algebra, and more.
FriCAS image
computer-algebra-system symbolic-computation mathematics

FriCAS: Open Source Symbolic Computer Algebra System

FriCAS is an open source computer algebra system that specializes in symbolic computation. It has a powerful engine for manipulating mathematical expressions and can be used for calculus, number theory, algebra, and more.

What is FriCAS?

FriCAS (formerly Axiom) is a general purpose computer algebra system with a focus on symbolic computation. It has powerful capabilities for working with mathematical expressions and can perform calculus, number theory, algebra, integral transforms, special functions, and more.

Some key features of FriCAS include:

  • A rich language for defining mathematical objects like groups, rings, fields, vector spaces etc.
  • Advanced symbolic manipulation and simplification of expressions
  • Arbitrary precision numeric computations
  • 2D and 3D plotting capabilities
  • A large library of mathematical functions and algorithms
  • Interfaces to other languages like C, Python, Maple, Mathematica

FriCAS is open source software written in SPAD and available for Linux, MacOS and Windows. It has an extensive standard library and active community support. The syntax is different than some commercial CAS systems but quite powerful once learned.

If you need to do heavy symbolic math, number crunching, exploration of mathematical constructs or algorithm development, FriCAS is an excellent free alternative to consider.

FriCAS Features

Features

  1. Symbolic computation and algebraic manipulation
  2. Interactive environment for mathematical exploration
  3. Supports arithmetic, calculus, linear algebra, combinatorics, number theory, etc.
  4. Computer algebra system kernel written in Common Lisp
  5. Notebook interface for literate programming
  6. Extensible through user-defined domains and packages
  7. Translators to and from Maple and Mathematica

Pricing

  • Open Source

Pros

Powerful open source computer algebra system

Flexible and extensible architecture

Notebook interface promotes interactive workflows

Strong symbolic capabilities for advanced math

Translators allow interoperability with other CAS tools

Cons

Less user-friendly than Mathematica or Maple

Smaller user community than proprietary alternatives

Not as full-featured for numeric computation

Documentation can be technical and terse


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