ODE Theory Books: Find the Perfect Fit for You

[Skrew]

I hope this OK to do, I posted the same question in the science book section and have not gotten a response(admittedly I haven't waited very long but I am sort of in a rush and it doesn't seem to be a question which comes up often).

I would like to purchase a book on ODE theory(as in it gives proofs of everything). I would also like it to cover dynamical systems.

I have looked at Arnold's ODE book and it is very interesting but I don't feel I have the mathematical maturity to consume it yet(I have done an intro analysis class and two abstract algebra classes), I also have a dislike of paperback books when it comes to actually doing exercises out of them and Arnold's book is no longer in print in hardcover.

I have looked at Coddingtons book but its presentation of the subject is not modern and it falls short in terms of coverage of dynamical systems.

 

[micromass]

What about the book of Boyce and Diprima?

 

[wisvuze]

I like this one:
https://www.amazon.com/dp/0123495504/?tag=pfamazon01-20

But be wary, there are two kinds of this book; one is more newer and "modern" and "simplified". I like this older one better

 

[Mark44]

I like this one:
https://www.amazon.com/dp/0123495504/?tag=pfamazon01-20

But be wary, there are two kinds of this book; one is more newer and "modern" and "simplified". I like this older one better

That is one expensive book! Amazon has four copies, with the cheapest going for $845?

I have a copy with a 1974 copyright, that I bought in 1978. I paid $21 for it.

 

[Skrew]

What about the book of Boyce and Diprima?

I own the 8th? edition and it leaves out these proofs.

I like this one:
https://www.amazon.com/dp/0123495504/?tag=pfamazon01-20

But be wary, there are two kinds of this book; one is more newer and "modern" and "simplified". I like this older one better

The old edition is well outside of my price range, lol. I actually ordered the new edition from a private seller but then they canceled my order due to not having it in stock...Any other suggestions would be great, apparently ODE/Dynamical Systems theory books are not popular and very few modern ones exist, which seems sort of odd as you would think they would be one of the most important things in applied mathematics(along with PDE's).

 

[Lavabug]

Foundations of DEs by R. Kent Nagle is pretty comprehensive.