What are the best resources for learning Differential Equations? From ODEs to PDEs. I want to know everything there is to know about them, solving them, all the applications, all the methods, all the special functions, etc.
A textbook
>>8304395
What do you know already?
are you self-learning? or are you enrolled in an ode's course? during my time learning ode's and pde's i ditched my course's textbook for this:
http://tutorial.math.lamar.edu/Classes/DE/DE.aspx
and focused on solving the assignments of the course to practice.
Your class?
None of DE texts do a good job. Either to dumbed down or too mathy. Or too oudated.
As example, ODE: Boyce vs Rota vs Tenenbaum.
PDE is even worse, either picking up bits and pieces from various physics/eng/math method texts or got memed into reading Evans.
It's not a great situation for brainlets.
>>8304430
>Either to dumbed down or too mathy
pick one, faggot. if you're too lazy to do the math then get the dumb shit
>>8304443
there's little math you can take without theory. calculus-based DEs are just methods, memorizing and applying formulas. not very fulfilling, imo.
>>8304443
Differential eqs knowledge are usually presented just in time. You'll see them again in your eng courses when you need them.
Bump. Any more suggestions /sci?
>>8304443
Analutically solving PDEs is a huge pain in the ass, don't bother.
Strogatz all the way son
Introduction to Differential Equations with Dynamical Systems by Haberman is great for ODEs. It goes over every single topic we went over in my ODE class.
Partial Differential Equations by Hillen is great for PDEs. I haven't taken a course on PDEs yet but this book is pretty straightforward and easy to understand if you read it slowly and take notes.
These are the texts I use as a refresher or reference.
If you want ODEs that are less mathy use Stroud. If you want less math and more applications in PDEs (engineering/physics) then use Farlow.
>>8304395
Paul's online calc notes
>>8304443
>engineer
numerical methods will teach you everything you need to know about DE's.
An Introduction to Ordinary Differential Equations: Earl A Coddington. Concise cheap book that won't waste your time.
PDEs for Scientists and Engineers: Farlow Cheap and great.
I didn't like Tenenbaum it's too much information, it's a good reference though.
Evan's is a good book for PDE theory, but it's difficult, beyond Chapter 3 or 4 you need functional analysis. I am assuming you are not here nor will need to get there.
Want to add Strauss is a meme book, don't get it. It's a shitty Farlow and a shitty Evans in one. I used it in my undergrad PDE class, thankfully my instructor was great.