2.10. Sympy : Symbolic Mathematics in Python

Objectives

1. Evaluate expressions with arbitrary precision.

2. Perform algebraic manipulations on symbolic expressions.

3. Perform basic calculus tasks (limits, differentiation and

   integration) with symbolic expressions.

4. Solve polynomial and transcendental equations.

5. Solve some differential equations.

What is SymPy? SymPy is a Python library for symbolic mathematics. It aims become a full featured computer algebra system that can compete directly with commercial alternatives (Mathematica, Maple) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python and does not require any external libraries.

Sympy documentation and packages for installation can be found on http://sympy.org/

Chapters contents

• First Steps with SymPy
  • Using SymPy as a calculator
  • Exercises
  • Symbols
• Algebraic manipulations
  • Expand
  • Simplify
  • Exercises
• Calculus
  • Limits
  • Differentiation
  • Series expansion
  • Exercises
  • Integration
  • Exercises
• Equation solving
  • Exercises
• Linear Algebra
  • Matrices
  • Differential Equations
  • Exercises

e.g.