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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 3AEXP
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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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