Usage of Del in Spherical Polar Coordinates

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SUMMARY

The discussion focuses on the challenges of understanding the del operator (∇) in spherical coordinates. Participants highlight the importance of grasping the definitions and applications of the del operator in both cylindrical and spherical systems. A resource from Wikipedia is recommended for foundational knowledge. Additionally, engaging in specific exercises and seeking help in dedicated forums is advised to overcome difficulties with coordinate conversions.

PREREQUISITES
  • Understanding of vector calculus concepts
  • Familiarity with spherical coordinate systems
  • Knowledge of cylindrical coordinate systems
  • Basic proficiency in coordinate transformations
NEXT STEPS
  • Study the Wikipedia article on "Del in cylindrical and spherical coordinates"
  • Practice exercises involving the del operator in spherical coordinates
  • Explore coordinate transformations between Cartesian and spherical coordinates
  • Participate in forums focused on vector calculus and coordinate systems
USEFUL FOR

Students and professionals in mathematics, physics, or engineering who are working with vector calculus, particularly those needing clarity on the del operator in spherical coordinates.

Dewgale
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Hi all,

I'm having some problems in grasping/properly understanding the usage of the del operator ( ##\nabla## ) in spherical co-ordinates, and I was wondering if someone could point me to some good resources on the subject, or take a bit of time to try to explain it to me. It just doesn't seem to be clicking.

Thanks!
 
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Dewgale said:
Hi all,

I'm having some problems in grasping/properly understanding the usage of the del operator ( ##\nabla## ) in spherical co-ordinates, and I was wondering if someone could point me to some good resources on the subject, or take a bit of time to try to explain it to me. It just doesn't seem to be clicking.

Thanks!
It's not clear where you difficulties may lie.

Here is the Del operator defined for cylindrical and spherical coordinate systems:

https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates
 
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Basically, I was given a few questions to do on the usage of the Del operator on a very simple couple of functions, but the conversions from cartesian and so on got my head spinning and I wasn't sure where to start.
 
Post a specific exercise in one of our Homework and Coursework Questions forums. Show what you have tried and where you get stuck. Someone will probably be able to help.
 
Dewgale said:
Basically, I was given a few questions to do on the usage of the Del operator on a very simple couple of functions, but the conversions from cartesian and so on got my head spinning and I wasn't sure where to start.
If you know how to use Del in these other coordinate systems, this may eliminate the need to do coordinate conversions.
 

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