Abstract
An integral, as a mathematical operator, is substantially simplified by transformations over the integration area. This chapter defines the main types of transformations, surface integrals, line integrals, and the Jacobian determinant.
Keywords: Composition transformations, Gauss theorem, Green theorem, Jacobian determinant, Curved integrals, Matrix derivatives, Reflection transformations, Rotation transformations, 1, 1, 2, 2, 3, Stokes theorem, Surface integrals, Vector calculus.
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