What is the best textbook for understanding differentials?

[jhami]

Hi,

I am an undergrad looking to purchase a good textbook on differentials for my course which I will be taking soon, and the textbook listed for the differentials course is this one (https://www.amazon.com/gp/product/1118531779/?tag=pfamazon01-20) which apparently is not very good. So can anyone recommend a good textbook on this subject which teaches the same concepts as this textbook?

Thanks,

 

[smodak]

Are you looking for a book for differential equations? I like this Dover book. In addition, this is a good book for a begineer. Another good book is this. Fro problems, this is a good book.

 

[jhami]

Yeah, just one with all the same topics in the original textbook i posted.

 

[MidgetDwarf]

An older book, would be the one by Ross. I am to lazy to look at the table of contents of your book, But Ross: Differential Equations, is a very good introduction to the subject that also has enough content for a second course. The best book on differential equations is by Arnold, but that's an advance book, and I doubt many undergraduate math majors could grasp it. The author provides proofs when they can be proved at that level. Or he gives an intuitive explanation. Also explains the methods of solutions for non-homogenous solutions, and how to derive them, instead of memorizing a chart, like many current books on ODE do.

I really hated the subject of Differential Equations, I like more pure mathematics, but Ross made me like the subject, and Arnold made me love it.

https://www.amazon.com/dp/B0006BM12I/?tag=pfamazon01-20
That is the link for the Ross book. It's no more than 10 shipped used.