SymPy

SymPy

SymPy is a wrapper to the Python SymPy library for symbolic computation: solve equations (or system of equations), simplify them, find derivates or integrals...

An overview of its capabilities can be found on the following notebook:

http://nbviewer.jupyter.org/github/sylvaticus/juliatutorial/blob/master/assets/Symbolic computation.ipynb

Some additional notes to that notebook:

• You can plot a function that includes symbols, e.g.: plot(2x,0,1) plots y=2x in the [0,1] range

• For the infinity symbol use either oo or Inf (eventually with + or -)

Other Mathematical packages

• Numerical integration of definite integrals (univariate): (QuadGK Package: quadgk(x->2x,0,2))

While an updated, expanded and revised version of this chapter is available in "Chapter 10 - Mathematical Libraries" of Antonello Lobianco (2019), "Julia Quick Syntax Reference", Apress, this tutorial remains in active development.