MATH225 Lecture Notes - Lecture 3: Fxx, Stationary Point, Royal Society Of Literature
7 Apr 2016
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Document Summary
Changing variable is something we come across very often in integration. There are many reasons for changing variables but the main reason for changing variables is to convert the integrand into something simpler and also to transform the region into another region which is easy to work with. When we convert into a new set of variables it is not always easy to find the limits. So, before we move into changing variables with multiple integrals we first need to see how the region may change with a change of variables. In order to change variables in an integration we will need the jacobian of the transformation. , fn are n differentiable functions of n variables x1, x2, . 2 x n f n x n is defined as the jacobian of f1, f2, . , fn with respect to the n variables x1, x2, . , xn and is denoted by f f.
