Diffiety
Encyclopedia
In mathematics
a diffiety, is a geometrical object introduced by playing the same role in the modern theory of partial differential equation
s as algebraic varieties play for algebraic equations.
Another way of generalizing ideas from algebraic geometry is differential algebraic geometry
.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
a diffiety, is a geometrical object introduced by playing the same role in the modern theory of partial differential equation
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
s as algebraic varieties play for algebraic equations.
Another way of generalizing ideas from algebraic geometry is differential algebraic geometry
Differential algebraic geometry
Differential algebraic geometry is an area of differential algebra that adapts concepts and methods from algebraic geometry and applies them to systems of differential equations/algebraic differential equations....
.