Spherical co-ord notation

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Griffith's "Introduction to Electrodynamics" presents a definition of spherical coordinates that differs from the conventions used in previous calculus classes, particularly regarding the angles φ and θ. This discrepancy leads to confusion, as physicists and mathematicians often adopt different notations and definitions for these angles. The polar and azimuthal angles can be represented with various symbols, but understanding their definitions is crucial. Acknowledging this notation conflict is important for clarity in both fields. Ultimately, grasping the underlying concepts is more significant than the specific symbols used.
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In Griffith's "Introduction to electrodynamics" he uses the following definition for spherical coordinates:

x=r\sin{\theta}cos{\phi}
y=r\sin{\theta}sin{\phi}
z=r\cos{\theta}

However, in all previous calculus classes, I have always used the opposite with respect to \phi and \theta. Anyone know why there is this conflict of notation? It is confusing as hell!
 
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nicksauce said:
In Griffith's "Introduction to electrodynamics" he uses the following definition for spherical coordinates:

x=r\sin{\theta}cos{\phi}
y=r\sin{\theta}sin{\phi}
z=r\cos{\theta}

However, in all previous calculus classes, I have always used the opposite with respect to \phi and \theta. Anyone know why there is this conflict of notation? It is confusing as hell!

Don't get hung up on the notation. Pay attention to how these angles are defined. One is the polar angle, the other is the azimuthal angle. You can represent it with any symbol that you like, or stick a picture of a cow and a donkey on it. As long as you understand how they are defined, that's all that matters.

Zz.
 
neutrino said:
I think this is one question not even the "Theory of Everything" can answer. :biggrin: Physicists prefer one way, and mathematicians prefer another. The even use different letters, sometimes.

http://mathworld.wolfram.com/SphericalCoordinates.html

I didn't even notice that mathmos do it the other way round... how the hell did I miss that all these years?!
 
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