Any other recommendations for rigorous DE and PDE books?

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Discussion Overview

The discussion centers on recommendations for rigorous textbooks on differential equations (DEs) and partial differential equations (PDEs), with a focus on the suitability of various authors and their approaches. Participants share their plans for studying these topics in conjunction with other mathematical subjects.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant plans to study Rudin's Real and Complex Analysis followed by functional analysis before tackling DEs and PDEs, suggesting Arnold for DEs and Evans for PDEs.
  • Another participant recommends Kreyszig's "Advanced Engineering Mathematics" as a resource that includes a substantial amount of material on ODEs and PDEs.
  • A participant praises Arnold for its geometric approach and describes it as a beautiful text, while also endorsing Evans as a strong choice for graduate-level PDEs.
  • Another participant expresses confidence in the choices of Arnold and Evans, stating they do not know of better alternatives.

Areas of Agreement / Disagreement

Participants generally agree on the value of Arnold and Evans as strong textbook choices for DEs and PDEs, but there are multiple recommendations presented, indicating a variety of perspectives on suitable resources.

Contextual Notes

Some participants highlight the geometric nature of Arnold's approach, while others emphasize the rigor of Evans' text, suggesting that preferences may depend on individual learning styles and objectives.

Who May Find This Useful

Readers interested in advanced studies of differential equations and partial differential equations, particularly those seeking rigorous mathematical texts.

redrzewski
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My plan is to work thru Rudin's Real and Complex Analysis, and then functional analysis, and then move on to DEs/PDEs.

Right now its looking like Arnold for DEs, and Evans for PDEs.

Any other recommendations?
thanks
 
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Kreyszig - Advanced Engineering Mathematics 9ed , plenty of ODE and PDE stuff in there for you.
 
Redrzewki that sounds like the ideal combo. Arnold is very geometric, but it is a beauty. And Evans is considered a very good grad PDE book.
 
You cannot go wrong with Arnold and Evans. I don't know any better books.
 

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