Quaternions or Vectors: Which is the Better Choice for Electromagnetism?

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SUMMARY

The discussion centers on the preference for vectors over quaternions in the context of electromagnetism. Participants highlight that vectors offer more transparency in operations, making them easier to understand and apply. Additionally, the use of differential forms in conjunction with vectors is identified as the current preferred approach in the field. This indicates a clear trend towards utilizing vectors for their clarity and effectiveness in electromagnetic applications.

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  • Understanding of vector mathematics
  • Familiarity with quaternions and their applications
  • Knowledge of differential forms in mathematics
  • Basic principles of electromagnetism
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  • Explore the role of differential forms in vector calculus
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Physicists, mathematicians, and engineers interested in the mathematical foundations of electromagnetism and those seeking to optimize their understanding of vector and quaternion applications.

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I read that people prefer vectors over quaternions (e.g. for electromagnetism), since one can do the same operations more transparent. Is it really a matter of preference? What's advantages of one or the other?
 
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Gerenuk said:
I read that people prefer vectors over quaternions (e.g. for electromagnetism), since one can do the same operations more transparent. Is it really a matter of preference? What's advantages of one or the other?

Actually, differential forms together with vectors appears to be the currently preferred "flavor".
 

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