MHB Advanced PDE Books: Expert Level Resources

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Advanced texts in partial differential equations (PDEs) discussed include "Partial Differential Equations" by E.T. Copson and "Fourier Series and Boundary Value Problems" by R.V. Churchill and J.W. Brown. These are considered more advanced than basic PDE books like "Elementary Partial Differential Equations" by Berg and McGregor and "Applied Partial Differential Equations" by Richard Haberman. Another recommended resource is "Partial Differential Equations of Mathematical Physics and Integral Equations" by Ronald B. Guenther and John W. Lee, noted for its affordability. Craig Evans' "Partial Differential Equations" is also highlighted, though it requires a solid foundation in measure theory and functional analysis. The discussion emphasizes the importance of selecting texts that align with the reader's existing knowledge and course requirements.
Dustinsfl
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What are some books that are more advanced then the basic PDE books?
 
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One can not forget about Craig Evan's Partial Differential Equations (to make it through this book, though, you should have a good understanding of measure theory and functional analysis).
 
dwsmith said:
Do you think those are beyond Elementary Partial Differential Equations by Berg and McGregor and Applied Partial Differential Equations with Fourier series and Boundary Value Problems by Richard Haberman?

Sorry, but I haven't used any of the books you mentioned. The two books that I mentioned are recommended text for a course in partial differential equations in our undergraduate curriculum.
 
This thread only works as a summary from the original source: List of STEM Masterworks in Physics, Mechanics, Electrodynamics... The original thread got very long and somewhat hard to read so I have compiled the recommendations from that thread in an online (Google Drive) spreadsheet. SUMMARY Permits are granted so you can make comments on the spreadsheet but I'll initially be the only one capable of edition. This is to avoid the possibility of someone deleting everything either by mistake...

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