chapter15_symbolic.md

15. Symbolic and Numerical Mathematics

Full list of references in Chapter 15 of the IPython Cookbook, the definitive guide to high-performance scientific computing and data science in Python, by Dr. Cyrille Rossant, Packt Publishing, 400 pages, 2014.

Calculus with SymPy

• Matrices in SymPy.
• Integrals in SymPy.

Nmuber theory with SymPy

• Number theory in SymPy.
• The Chinese Remainder Theorem.
• Applications of the Chinese Remainder Theorem.

Logic with SymPy

• Propositional formula.
• Sum of Products.
• The Quine–McCluskey algorithm.

Dynamical systems analysis with SymPy

• Dynamical systems.
• Equilibrium points.
• Bifurcation theory.
• Chaos theory.

Short introduction to Sage

• Sage
• Cloud Sage
• In-depth tutorial
• The reference manual
• Videos