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

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SUMMARY

This discussion focuses on recommendations for textbooks covering the Poisson equation, Green's function, and Green's theorem, specifically for theoretical physics students. The participants suggest two types of resources: one that is easy to read for a general understanding and another that is mathematically rigorous for in-depth study. A. Sommerfeld's "Lectures on Theoretical Physics Vol. 2" is highlighted as a valuable introductory resource for vector calculus, which is foundational for these topics.

PREREQUISITES
  • Understanding of vector calculus
  • Familiarity with differential equations
  • Basic knowledge of theoretical physics concepts
  • Proficiency in mathematical rigor and proofs
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Theoretical physics students, educators in mathematical physics, and researchers seeking a comprehensive understanding of the Poisson equation and Green's functions.

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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