What is Differential Galois theory?

Differential steering is the means of steering a land vehicle by applying more drive torque to one side of the vehicle than the other. Differential steering is the primary means...

In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups. It was proved by Évariste...

In mathematics, the absolute Galois group GK of a field K is the Galois group of K over K, where K is a separable closure of K. Alternatively it is...

Affine differential geometry is a type of differential geometry in which the differential invariants are invariant under volume-preserving affine transformations. The name affine differential geometry follows from Klein's Erlangen program....

In mathematics, the symbol of a linear differential operator is a polynomial representing a differential operator, which is obtained, roughly speaking, by replacing each partial derivative by a new variable....

In mathematics, a quadratic differential on a Riemann surface is a section of the symmetric square of the holomorphic cotangent bundle. If the section is holomorphic, then the quadratic differential...

In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion means that waves of different wavelength propagate at...

In mathematics a partial differential algebraic equation set is an incomplete system of partial differential equations that is closed with a set of algebraic equations.

Many first principles in quantum field theory are explained, or get further insight, in string theory.