I need a good book on differential equations.
have you looked here?
I haven't read it myself (though will soon), but I hear Tenenbaum's book is fantastic. On top of that, it is one of the cheaper textbooks you'll find!
If you would like a clear exposition of topics and excellent problems, I heartily recommend a book called "Differential Equations with Applications and Historical Notes" by George Simmons. His writing style is very clear, and his books read like novels.
Ross' differential equations is one of the best ODE books I ever read. The first part of the book deals with giving exact or numerical solutions. The second part is more theoretical (and more interesting). It contains everything you would ever want to know about basic ODE theory.
Ross is great, I second that. I feel that the exercises are a tad to easy. Buy a cheap edition of Zill Differential Equations for under 5 dollars and supplement Ross with problems from Zill.
I learned from Rainville and Bedient. I think Boyce and Diprima is also good
I think Boyce de Prima is too expensive for what it offers. At a hundred dollars a used copy? no.
You may be right MidgetDwarf. I used Simmons (already mentioned) as a sophomore and I liked it. I have some books by Sheldon Ross, but not his DE one. If his DE one is like his other books, it should be very good.
At my university a used copy in even dreadful condition goes for $150. Absolutely horrifying.
It is a different Ross, this Ross writes even better.
this is a copy of Zill. Good exercises, the text is typical plug and chug, but very clear. Use this for problems or when you need to clarify something in Ross.
For Ross, their are two versions of his book. I got the Introduction to Ordinary Differential Equations. I believe, the book titled Ordinary Differential Equations, includes the Introduction to Ordinary Differential Equations and more material. Maybe Micromass can confirm this, I am not 100% sure.
But Ross was really well written.
I have Simmons Calculus, never looked at his other books. It was well written. Good thinking exercises. The problem I did not like however, was that he hand waved a lot of proofs, and sections and topics that should be combined in one section were spread out. It was well written and offered great intuition. I feel it lacked it in the explanation of Sequences. I found Stewart Beat Simmons in explaining Sequences and Series. However, Simmons is the better book.
Im looking forward to Simmons book on Topology for next year.
I see them in the Amazon used books section for like < $15. May be worth checking out.
An introduction to Differential Equation and linear Algebra. By Goode.
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