SUMMARY
The discussion focuses on the derivation of the Del operator in spherical and cylindrical coordinates, starting from the Cartesian representation: Del = i ∂/∂x + j ∂/∂y + k ∂/∂z. Participants highlight the relevance of this topic in fields such as pure mathematics, physics (especially general relativity), and engineering (fluid mechanics, statics, and dynamics). For electromagnetics applications, the book "Mathematical Methods in the Physical Sciences" by Mary Boas is recommended as a comprehensive resource. Additional online resources, such as the University of Miami's math methods page, are also provided.
PREREQUISITES
- Understanding of vector calculus
- Familiarity with Cartesian, spherical, and cylindrical coordinate systems
- Basic knowledge of tensor algebra
- Experience with electromagnetics concepts
NEXT STEPS
- Study the derivation of the Del operator in spherical and cylindrical coordinates
- Explore "Mathematical Methods in the Physical Sciences" by Mary Boas for vector calculus applications
- Review online resources on tensor algebra and coordinate invariant calculus
- Investigate additional electromagnetics textbooks that cover vector calculus
USEFUL FOR
This discussion is beneficial for students and professionals in physics, engineering, and mathematics, particularly those focusing on electromagnetics and vector calculus applications.
