Request Lecture notes for math similar to that mathonline.wikidot.com

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Proofwiki.org is mentioned as a resource, but the main focus is on recommending books for studying Ordinary Differential Equations. "Ordinary Differential Equations" by Ross is highlighted as a simple, informative, and enjoyable read that covers most topics from the third section and some from the fourth section of a typical curriculum. However, the exercises in Ross are considered too easy, prompting the suggestion to also use "Ordinary Differential Equations" by Zill for more challenging exercises. For comprehensive coverage of the fourth section, a second book on Differential Equations is advised, although no specific recommendation is provided. The book by Arnold is noted as advanced but readable.
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There's also proofwiki.org, and?
 
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No notes. But a good simple, informative, fun to read book , is book Ross : Ordinary Differential Equations.

It coveres the majority of topics in the 3rd section box, and a few from the 4th.

The only issue with Ross is that the exercises are too easy. So buy a cheap copy of Zill Ordinary Differential Equations, and work the exercises from Zill and read Ross.


For something that would cover the 4th section, it would be a second book on Differential Equations.

I dont have a recommendation, and the only book I own is the one by Arnold, readable, but advanced.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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