- #1
TheFerruccio
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Suppose I wanted to know the surface integral of a recently whose points are (0,0,0),(0,0,2),(1,1,0),(1,1,2)
The integral itself, if the surface is parameterized in terms of u and v, would be in those two variables, a differential element whose sides are du and dv.
However, since this rectangle requires 3 variables to describe it, how would the Jacobian be constructed? Could that be used for the coordinate transformation? (suppose the integral boundaries are 0 and 1 for both u and v)
Thanks in advance for the help.
The integral itself, if the surface is parameterized in terms of u and v, would be in those two variables, a differential element whose sides are du and dv.
However, since this rectangle requires 3 variables to describe it, how would the Jacobian be constructed? Could that be used for the coordinate transformation? (suppose the integral boundaries are 0 and 1 for both u and v)
Thanks in advance for the help.