Differential Operator - Examples

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).

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