Resources to get started with differential equations

I’m putting this in off-topic since my question is more general. I want to learn more about the sci-ml type packages eventually but feel like I lack some fundamental knowledge on *DEs and would therefore ask for recommendations on material to read about them (maybe a textbook or so). I have “seen” differential equations before during my masters but it was just an introduction. Any help is very much appreciated!

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These are by far my fav lecture notes on DEs:

http://www-math.mit.edu/~poonen/notes03.pdf

They won him a teaching prize @ MIT.
Enjoy

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Thank you! :smiley:

Check out “Exploring ODEs” by Trefethen et al. It’s available free on his webpage.
Unfortunately it uses MATLAB.

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Thank you! Maybe I can translate some models once I understand the packages better. :slight_smile:

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Zwillinger [1997] Handbook of Differential Equations, Academic Press, has a somewhat original approach.

For each technique covered, the author provides (quote):
• the types of equations to which the method is applicable
• the idea behind the method
• the procedure for carrying out the method
• at least one simple example of the method
• any cautions that should be exercised
• notes for more advanced users
• references to the literature for more discussion or more examples

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I would highly recommend the Gil Strang lectures:

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This sounds like my level. Thank you! :slight_smile:

I definitely loved his lectures on linear algebra. He is an amazing teacher. Thanks!

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