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Eigenmath – compact symbolic mathematics application

Eigenmath is a compact computer algebra system that brings symbolic manipulation, numerical calculation and mathematical visualization to the command line.

It can be used interactively from its question-mark prompt or supplied with script files, making it suitable for exploratory work and repeatable calculations. The program is implemented as a self-contained C codebase and builds with make and a C compiler. Its native executable has a deliberately modest build footprint and links against the standard mathematical library.

This is free and open source software.

Key Features

  • Exact big integer and rational arithmetic, with mixed-mode floating-point evaluation when required.
  • Symbolic differentiation, higher-order derivatives, gradients and derivatives of vector or tensor expressions.
  • Indefinite, definite and multiple integration for a broad collection of mathematical expressions.
  • Algebraic simplification, expansion, factorization, root finding and Taylor-series expansion.
  • Complex-number calculations in rectangular and polar forms, including absolute value and conjugation.
  • Vector, matrix and higher-rank tensor operations, including products, determinants, inverses, adjugates and transposes.
  • Linear systems can be solved symbolically, while eigenvalue and eigenvector operations support matrix analysis.
  • User-defined symbols and functions, loops, conditional evaluation and multi-step expressions.
  • Function graphs and parametric plots, with configurable horizontal and vertical ranges.
  • Statistical functions and matrix-based linear regression calculations.
  • Quantum-circuit simulation with common controlled, Fourier, phase, swap and Pauli gates for up to 15 qubits.
  • Interactive REPL operation plus command-line script execution, supported by examples, tests and detailed documentation.
  • Units of measure can be represented using symbols and quoted strings.

Website: github.com/georgeweigt/eigenmath
Support:
Developer: George Weigt
License: BSD 2-Clause “Simplified” License

Eigenmath is written in C. Learn C with our recommended free books and free tutorials.


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