Transformations: A Mathematical Approach- Fundamental Concepts

Calculus

Author(s): Carlos Polanco

Pp: 57-64 (8)

Doi: 10.2174/9781681087115118010011

* (Excluding Mailing and Handling)

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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