Advanced PDE Books: Expert Level Resources

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Discussion Overview

The discussion centers around identifying advanced books on partial differential equations (PDEs) that exceed the level of basic texts. Participants share recommendations and inquire about the suitability of specific titles in relation to foundational PDE literature.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • Some participants suggest "Partial Differential Equations" by E.T. Copson and "Fourier Series and Boundary Value Problems" by R.V. Churchill and J.W. Brown as advanced resources.
  • Another participant mentions "Partial Differential Equations of Mathematical Physics and Integral Equations" by Ronald B. Guenther and John W. Lee as a valuable, inexpensive option.
  • One participant highlights "Partial Differential Equations" by Craig Evans, noting that a solid understanding of measure theory and functional analysis is necessary to engage with it effectively.
  • There is a question regarding whether the suggested books are more advanced than "Elementary Partial Differential Equations" by Berg and McGregor and "Applied Partial Differential Equations with Fourier Series and Boundary Value Problems" by Richard Haberman.
  • A participant mentions that the books they recommended are part of the undergraduate curriculum for a PDE course.

Areas of Agreement / Disagreement

Participants express differing opinions on the level of advancement of the suggested books compared to foundational texts, indicating that multiple competing views remain regarding what constitutes an advanced resource in PDEs.

Contextual Notes

Some recommendations depend on prior knowledge in areas such as measure theory and functional analysis, which may limit their accessibility to certain readers.

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.
 

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