# Differential Algebra

## Fundamentals
## Differential rings
### Differential ring
## Algebra of dual numbers

\[ \varepsilon^2 = 0 \]

### Differential field
### Differential ideal
### Liouville's theorem (differential algebra)
- Liouvillian function
- Liouville's theorem 
### Locally nilpotent derivation

## Differential Galois theory