I need yr help in Green theorem,

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    Green Theorem
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SUMMARY

This discussion centers on the application of Green's Theorem in Abstract Algebra, specifically addressing two mathematical problems posed by the user, Issam. The participants emphasize the importance of understanding the function g(x,y) and the notation dg. They recommend consulting advanced texts in electrodynamics or optics for deeper insights into the identities related to electromagnetic waves. The conversation highlights the necessity of attempting the problems independently before seeking further assistance.

PREREQUISITES
  • Understanding of Green's Theorem in the context of Abstract Algebra
  • Familiarity with calculus concepts, particularly multivariable functions
  • Knowledge of electromagnetic wave identities
  • Access to advanced electrodynamics or optics textbooks
NEXT STEPS
  • Review the principles of Green's Theorem in Abstract Algebra
  • Study the notation and application of differential forms, specifically dg
  • Explore advanced electrodynamics textbooks for proofs related to electromagnetic wave identities
  • Practice solving standard problems involving Green's Theorem to enhance problem-solving skills
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Students of mathematics, particularly those studying Abstract Algebra and calculus, as well as educators and professionals in physics focusing on electromagnetic theory.

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I need yr help in Green theorem, please please please

Dear Frends and Teachers,

This is Issam, I'm really need your help to solve anyone of the following 2 questions as shown in attached files, it's about Green theorem on Abstract Algebra

I'm really in critical time and I hope to get any idea to solve them or help me to solve anyone

I'm looking forward to get yr help ASAP
 

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    Note.jpg
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You know Green's Theorem, correct? Start with the second problem.
If you have a function g(x,y), how do you write dg? I'm not going to give any more info right now. Try that, take a look and ask more questions if it isn't clear (also, this should be in calc, not intro phys).
 


Both of your problems are pretty standard identities and uses for EM waves. You could probably find proofs of those in an advanced electrodynamics or optics book. Before we can really help you, we have to know where you're stuck, so try out the problem somewhat.
 

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