Question Number 206591 by necx122 last updated on 19/Apr/24
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Commented by SWPlaysMC last updated on 19/Apr/24
I would recommend this playlist: https://youtube.com/playlist?list=PLO1y6V1SXjjO-wHEYaM-2yyNU28RqEyLX
I would specifically start with the video titled "Differential Equations: Lecture 1.1-1.2 Definitions and Terminology and Initial Value Problems"
EDIT: The first five videos in the playlist are recommendations on textbooks, but I don't think the lectures actually require them.
EDIT 2: The lectures follow the book "A First Course in Differential Equations" by Dennis Zill as explained in the playlist's description.
Commented by necx122 last updated on 19/Apr/24
Wow!!!
Thank you. I definitely going with this.
Commented by necx122 last updated on 20/Apr/24
Another topic that has been quite turbulent over the years for me is permutation and combination. Could you also recommend a good playlist and bo9k for this. Thank you.
Commented by TheHoneyCat last updated on 20/Apr/24
$$\mathrm{I}\:\mathrm{would}\:\mathrm{recommend}\:\mathrm{the}\:\mathrm{books}\:“{Analysis}''\:\mathrm{by} \\ $$$$\mathrm{Terence}\:\mathrm{Tao}.\:\mathrm{They}\:\mathrm{are}\:\mathrm{both}\:\mathrm{cheap}\:\mathrm{and}\:\mathrm{good}. \\ $$$$\mathrm{And}\:\mathrm{if}\:\mathrm{you}\:\mathrm{want}\:\mathrm{to}\:\mathrm{go}\:\mathrm{further}\:\mathrm{further}\:\mathrm{than} \\ $$$$\mathrm{the}\:\mathrm{baiscs},\:\mathrm{I}\:\mathrm{recommend}\:\mathrm{to}\:\mathrm{leanr}\:\mathrm{the}\:\mathrm{fields}\:\mathrm{of} \\ $$$${analytical}\:{mechanics},\:\mathrm{and}\:{distribution} \\ $$$${theory}.\:\mathrm{Although}\:\mathrm{those}\:\mathrm{fields}\:\mathrm{are}\:\mathrm{a}\:\mathrm{bit} \\ $$$$\mathrm{physics}\:\mathrm{oriented},\:\mathrm{the}\:\mathrm{tools}\:\mathrm{they}\:\mathrm{develop}\:\mathrm{are} \\ $$$$\mathrm{extremely}\:\mathrm{powerfull}. \\ $$$$\mathrm{I}\:\mathrm{recomend}\:“{Mathematical}\:{Methods}\:{of}\: \\ $$$${Classical}\:{Physic}\mathrm{s}''\:\mathrm{by}\:\mathrm{Arnold}\:\mathrm{for}\:\mathrm{the}\:\mathrm{first}\:\mathrm{one} \\ $$$$\mathrm{and}\:“{Distribution}\:{Theory}''\:\mathrm{by}\:\mathrm{Laurent}\:\mathrm{Swartz}. \\ $$$$\mathrm{Hope}\:\mathrm{that}\:\mathrm{helps}. \\ $$
Commented by necx122 last updated on 20/Apr/24
Thank you. This would truly help