Need a textbook for math course

Question

The undergrad course is called intro the applied math, and it covers: "The unit introduces some of the principal mathematical techniques such as difference equations, differential equations and partial differential equations."

We are not given a textbook and I really want to study from one, the closer it matches to the course the better. I think it's definitely based on a textbook out there.

We are about halfway through the course. Here are some course pdfs https://www.dropbox.com/sh/u3ek0rjs7jczbhj/AAC86lV0wep07b-cua3dz00Oa?dl=0. BonusQ.pdf gives a good overview of the content

Answer 1

You could try these books: - An Introduction to Ordinary Differential Equations by James C Robinson - Differential Equations by Richard Bronson and Gabriel Costa

These are the books I used to use and they are pretty good, and your course, from your description, looks a lot like my first year differential equations course (I tried looking at your dropbox folder however for some reasons it couldn't load).

My lecturer's lecture notes are also very helpful, perhaps yours are too?

But yeah just a suggestion.

Answer 2

It's hard to tell exactly how well it fits your course, but a really great book in general is Nonlinear Dynamics And Chaos by Steven Strogatz. (I wholeheartedly agree with all the rave reviews on Amazon. Besides, Spider-Man uses it!)

That book is definitely relevant for most of the stuff in BonusQ.pdf. However, it doesn't contain any material about PDEs.