Math topics I need to study JD Jackson Classical Electrodynamics.

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SUMMARY

To effectively study JD Jackson's "Classical Electrodynamics," a solid understanding of Complex Analysis, Partial Differential Equations (PDEs), and Vector Calculus is essential. The discussion emphasizes that Jackson builds upon existing mathematical knowledge rather than introducing new concepts, making familiarity with Taylor Series critical for success. Participants recommend focusing on these areas to navigate the complexities of the text efficiently.

PREREQUISITES
  • Complex Analysis
  • Partial Differential Equations (PDEs)
  • Vector Calculus
  • Taylor Series
NEXT STEPS
  • Study "Complex Analysis" by Lars Ahlfors
  • Review "Partial Differential Equations" by Lawrence C. Evans
  • Explore "Vector Calculus" by Jerrold E. Marsden and Anthony J. Tromba
  • Practice Taylor Series expansions and applications
USEFUL FOR

Students and self-learners preparing for advanced studies in classical electrodynamics, particularly those using JD Jackson's textbook, will benefit from this discussion.

yungman
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I was told by a friend that I need to study Complex Analysis, Introduction to Analysis on top of PDE.

My highest level of math is only PDE. I want to know what other math topics I need for self study in JD Jackson. I know people go to school will have instructor teaching the math in the class, so they can get away without taking a lot of math and just learn it during the ED class. I don't have that luxery.
 
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PDEs, Complex and real analysis (mainly vector analysis).
 
MathematicalPhysicist said:
PDEs, Complex and real analysis (mainly vector analysis).

Any book you can suggest on vector analysis? Are you talking about vector calculus? That I have 3 books already. Is it just more detail extension of the multi-variable calculus of the third semister? In the multi-variable, they pretty much stop at divergence and Stoke's and spent very little time on vector fields and line integrals. Is that what you are referring to?

Thanks
 
I'd say complex analysis would be helpful along with PDE's. The thing with Jackson is that it doesn't really delve into new mathematical topics, it just takes the topics you already know (calculus, vector calculus, PDEs) and just goes crazy with them.

KNOW TAYLOR SERIES. When I took the class we used Jackson in, everything was an expansion or series or whatever. You hardly ever look for exact solutions it felt like.
 
Pengwuino said:
I'd say complex analysis would be helpful along with PDE's. The thing with Jackson is that it doesn't really delve into new mathematical topics, it just takes the topics you already know (calculus, vector calculus, PDEs) and just goes crazy with them.

KNOW TAYLOR SERIES. When I took the class we used Jackson in, everything was an expansion or series or whatever. You hardly ever look for exact solutions it felt like.

Thanks.
 

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