Books/courses that reflect Gian Carlo Rota's thoughts

[imwhatim]

TL;DR Summary: Books that reflect: https://web.williams.edu/Mathematics/lg5/Rota.pdf

I'm looking for a book or course that distills the subject of differential equations (DE) according to these 10 points : https://web.williams.edu/Mathematics/lg5/Rota.pdf
I'm a part-time student working full-time, I cannot go through a 800 page book like Tenenbaum and Pollard only to find out at the end that most content is obsolete. I understand that any practice is good practice for gaining mathematical maturity, but I'll take that practice from elsewhere.

Regards,

 

[Mondayman]

I cannot go through a 800 page book like Tenenbaum and Pollard only to find out at the end that most content is obsolete

I can assure you the content isn't obsolete. It's actually a really accessible book for DE with a good variety of problems, IMO. It can always be used as a supplement.

I bought it for $24 Cdn. on Amazon in 2016. The fact that it's listed at $54 now is an absolute travesty.

 

[Muu9]

I understand that any practice is good practice for gaining mathematical maturity, but I'll take that practice from elsewhere.

Then I would suggest doing so - much of any introductory book like this: https://www.math.unl.edu/~jlogan1/PDFfiles/New3rdEditionODE.pdf (legal copy) is about learning to manually solve differential equations that Mathematica can solve equally well. Do you consider that obsolete? If so, you might want to move on to more formal stuff in other fields and then maybe go through the excellent theoretical book by V I Arnold

If you want something you can chew on now, you could look at nonlinear dynamics by strogatz or this course: https://www.complexityexplorer.org/...athematical-and-computational-approaches-2024

 

[MidgetDwarf]

You have enough time to study if you work.

I typically tell students only work the hours needed to survive and nothing more.