Any other recommendations for rigorous DE and PDE books?

AI Thread Summary
The discussion centers around a study plan that includes working through Rudin's "Real and Complex Analysis," followed by functional analysis, and then delving into differential equations (DEs) and partial differential equations (PDEs). Recommendations for DEs include Arnold's text, noted for its geometric approach, while Evans is suggested for PDEs, recognized as a strong graduate-level resource. Kreyszig's "Advanced Engineering Mathematics" is also mentioned as a valuable resource for both ODE and PDE topics. Overall, Arnold and Evans are highly regarded, with no alternative texts deemed superior in this context.
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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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