Classical Please recommend two textbookss about the Poisson equation and Green's function

AI Thread Summary
For a theoretical physics student seeking textbooks on the Poisson equation, Green's function, and Green's theorem, two recommendations emerge. For an accessible introduction, A. Sommerfeld's "Lectures on Theoretical Physics Vol. 2" is highlighted as a non-rigorous yet effective resource for grasping the fundamentals of vector calculus. For a more rigorous and in-depth exploration, a different textbook that emphasizes mathematical precision and modern applications is suggested, though not specified in the discussion. These resources aim to balance ease of understanding with mathematical depth in the study of these important topics in theoretical physics.
APoorStudent
Please recommend two textbooks about Poisson equation, Green's function and Green's theorem for a theoretical physics student. One is easy to read so that I can have an overall understanding of the topics, another is mathematically rigorous and has a deep and modern exploration of these topics. Thanks a lot!
 
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You find a very nice (non-rigorous) introduction to vector calculus in

A. Sommerfeld, Lectures on theoretical physics vol. 2
 

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