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Starting from Cartesian coordinates described in terms of cylindrical coordi- nates, use the Jacobian determinant to prove that for cylindrical coordi- nates dV = rdzdrd0, %3D where r means the axial distance, 0 is the azumithal angle and z is the same one from Cartesian Coordinates.

Starting from Cartesian coordinates described in terms of cylindrical coordi- nates, use the Jacobian determinant to prove that for cylindrical coordi- nates dV = rdzdrd0, %3D where r means the axial distance, 0 is the azumithal angle and z is the same one from Cartesian Coordinates.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Starting from Cartesian coordinates described in terms of cylindrical coordi- nates, use the Jacobian determinant to prove that for cylindrical coordi- nates dV = rdzdrd0, where r means the axial distance, 0 is the azumithal angle and z is the same one from Cartesian Coordinates.
Transcribed Image Text:3. Starting from Cartesian coordinates described in terms of cylindrical coordi- nates, use the Jacobian determinant to prove that for cylindrical coordi- nates dV = rdzdrd0, where r means the axial distance, 0 is the azumithal angle and z is the same one from Cartesian Coordinates.
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