smib (SMall Is Beautiful) is an open source and free command-line software implemented in C and designed from the offset as one of the simplest and smallest computer algebra systems in the whole world. Keep in mind that simple does not mean simplistic!
Supports number theory, numerical analysis and differential geometry
With smib you will be able to explore numerous branches of mathematics, as well as various physics branches. It supports number theory, algebra, analysis, numerical analysis, differential geometry, calculus on samples, probability and statistic.
The software can work with arithmetic functions, infinite size integers, Fourier transform, Fourier analysis, primality, integral calculus, differential calculus, numerical integration, derivation, antiderivative, vectors, polynomials, matrices, tensors, integration, Taylor series, and ODE.
In addition, the program supports Riemann-like and Gauss-like differential geometry, integral and differential calculus, kurtosis, stochastic calculus, variance, skewness, quantile, expected value, as well as median. It also comes with some comprehensive documentation about how to use various functions.
Interactive mode vs Script mode
The program can only be used from the command-line via any terminal emulator. It provides two modes, interactive and script. While the interactive mode is the most easy to use one, as all you have to do is to run the ‘smib’ command to access the shell prompt and use the program, the script mode requires a valid file, then run ‘./smib ./documentation/tutorial’.
Various examples for the script mode can be found in the /smib/documentation folder or the /smib/documentation/application directory inside the source package. Also, you should check the /smib/documentation/tutorial folder for various basics examples.