Examples
- In applications to the physical sciences, operators such as the Laplace operator play a major role in setting up and solving partial differential equations.
- In differential topology the exterior derivative and Lie derivative operators have intrinsic meaning.
- In abstract algebra, the concept of a derivation allows for generalizations of differential operators which do not require the use of calculus. Frequently such generalizations are employed in algebraic geometry and commutative algebra. See also jet (mathematics).
Read more about this topic: Differential Operator
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