Good textbook for Hodge dual aplications

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SUMMARY

The discussion centers on finding a recommended textbook for understanding the Hodge dual operator in physics. Burke's "Applied Differential Geometry" is highlighted as a resource that provides a geometric definition and application of the star operator. Additionally, the use of the Hodge dual in electromagnetism is noted, particularly in the context of MTW's "Gravitation," which demonstrates its role in deriving Maxwell's equations. Various online PDFs are also mentioned as supplementary resources for further exploration.

PREREQUISITES
  • Understanding of differential geometry concepts
  • Familiarity with electromagnetism principles
  • Knowledge of Maxwell's equations
  • Basic proficiency in mathematical physics
NEXT STEPS
  • Read Burke's "Applied Differential Geometry" for a comprehensive understanding of the Hodge dual operator
  • Study MTW's "Gravitation" to see practical applications of the Hodge dual in deriving Maxwell's equations
  • Explore online resources and PDFs related to the Hodge dual and its applications in physics
  • Investigate the differential forms approach to electromagnetic fields for deeper insights
USEFUL FOR

This discussion is beneficial for physics students, educators, and researchers interested in advanced topics in differential geometry and its applications in electromagnetism.

Breo
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Who knows a goodbook of physics with a good approach on the star operator? I want to practice with it.

Thank you in advance.
 
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