Derivation of Del Operator in Spherical & Cylindrical Coordinates

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Discussion Overview

The discussion revolves around the derivation of the del operator in spherical and cylindrical coordinates, with a focus on its application in electromagnetics using vector calculus. Participants seek resources and explanations related to this topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant provides the definition of the del operator in Cartesian coordinates and requests its derivation in other coordinate systems.
  • Another participant suggests that the topic is addressed in tensor algebra and co-ordinate invariant calculus, noting the range of viewpoints from mathematical to applied contexts.
  • A participant specifies their interest in the application of the del operator in electromagnetics, indicating a preference for vector calculus treatments.
  • One participant recommends a book by Mary Boas as a good resource for the topic.
  • A different participant expresses that they do not have access to the recommended book.
  • A participant shares a link to a resource that may contain relevant information and suggests checking school libraries for electromagnetics textbooks that cover the del operator.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a specific resource or method for deriving the del operator in spherical and cylindrical coordinates, and multiple viewpoints regarding the treatment of the topic are present.

Contextual Notes

Participants express varying levels of access to resources and specific needs related to the application of the del operator, indicating potential limitations in the discussion.

dexterdev
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Hi all,
Del = i ∂/∂x + j ∂/∂y + k ∂/∂z

in x y z cordinate

similarly I require to see the derivation of del in other coordinates too. Please give me a link for the derivation.
 
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Hey dexterdev.

This subject is treated in co-ordinate free representations in a subject known as Tensor Algebra or Co-ordinate Invariant Calculus.

There are different viewpoints which range from the purely mathematical to the purely applied.

Some areas that study this are pure mathematics, physics (particular with general relativity), and engineering (particularly fluid and non-rigid body mechanics, statics, and dynamics).

What kind of treatment is closest to your needs?
 


Sir , what I require is for electromagnetics (using vector calculus)
 


Try Mary Boas. Great treatment there.
 


I don't have that book...:rolleyes:
 

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