Functional derivatives worksheet

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SUMMARY

The discussion centers on the need for additional resources to practice functional derivatives. User HJ Farnsworth seeks worksheets or problem sets that include solutions for self-verification. The conversation highlights the importance of having diverse and extensive practice materials to enhance fluency in the subject. Participants recommend utilizing Wikipedia as a starting point, but emphasize the necessity for more varied examples beyond those provided in existing articles.

PREREQUISITES
  • Understanding of calculus, particularly variational calculus.
  • Familiarity with the concept of derivatives in mathematical analysis.
  • Basic knowledge of functional analysis.
  • Experience with problem-solving in mathematical contexts.
NEXT STEPS
  • Search for advanced problem sets on functional derivatives from academic resources.
  • Explore online platforms like MIT OpenCourseWare for additional exercises.
  • Investigate textbooks that focus on variational calculus for comprehensive practice.
  • Review peer-reviewed articles that include practical applications of functional derivatives.
USEFUL FOR

Students, mathematicians, and educators looking to deepen their understanding of functional derivatives and enhance their problem-solving skills in advanced calculus and functional analysis.

HJ Farnsworth
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Greetings,

I want to become more fluent using functional derivatives. Does anyone have a link to sets of problems involving functional derivatives or anything like that (e.g., a worksheet from a class where they were used or something)?

The lengthier the better, and ideally the solutions to the problems would be available as well, so that I could check to make sure that I am using the concepts correctly.

Thanks very much!

-HJ Farnsworth
 
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Hi Jorriss, thanks for replying.

You are correct. However, I saw that article when I decided I wanted to learn about functional derivatives, so I sort of know those examples and need some new and different ones to practice.

Thanks again!

-HJ Farnsworth
 

Thread 'How does this derivative work? And why the speed of light remains?'

Relativistic Momentum, Mass, and Energy Momentum and mass (...), the classic equations for conserving momentum and energy are not adequate for the analysis of high-speed collisions. (...) The momentum of a particle moving with velocity ##v## is given by $$p=\cfrac{mv}{\sqrt{1-(v^2/c^2)}}\qquad{R-10}$$ ENERGY In relativistic mechanics, as in classic mechanics, the net force on a particle is equal to the time rate of change of the momentum of the particle. Considering one-dimensional...
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