Guide to symbolic mathematics with SymPy

This is a tutorial about SymPy for SciPy 2011 conferences (Austin and Mumbai). SymPy is a symbolic mathematics library in pure Python. This tutorial gives an overview and introduction to SymPy and is divided into two parts. The first part discusses the internals of SymPy, whereas the second part shows how to use SymPy for solving practical problems in symbolic mathematics.

Information presented in this tutorial should be enough to start using SymPy in daily work and hacking its internals, though hacking core modules may require additional expertise. More information can be found in SymPy’s documentation and on wiki pages.

• Introduction to SymPy
  • Installing, configuring and running SymPy
  • History of SymPy and a few statistics
  • Basics of expressions in SymPy
  • Gotchas and pitfalls
  • Setting up and using printers
• Mathematical problem solving with SymPy
  • Partial fraction decomposition
  • Deriving trigonometric identities
  • Not only symbolics: numerical computing
  • Summing roots of polynomials
  • Applications of Gröbner bases
  • Algebraic geometry
• Extras
  • Solutions