I have a background in building design but I have great interest in Mathematics. That′s one major reason why I joined this platform cause I did little or no maths in my undergraduate days as a building design student. This forum has contributed greatly to my current mathematical skill and I′m grateful. What textbooks and youtube channel or playlist would you recommend that I in understanding from the fundamentals to the advanced level of differential equations?


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Question Number 206591 by necx122 last updated on 19/Apr/24

$I h a v e a b a c k g r o u n d i n b u i l d i n g d e s i g n$ $b u t I h a v e g r e a t i n t e r e s t i n M a t h e m a t i c s .$ ${T h a t}^{'} s o n e m a j o r r e a s o n w h y I j o i n e d$ $t h i s p l a t f o r m c a u s e I d i d l i t t l e o r n o$ $m a t h s i n m y u n d e r g r a d u a t e d a y s a s a$ $b u i l d i n g d e s i g n s t u d e n t .$ $T h i s f o r u m h a s c o n t r i b u t e d g r e a t l y t o$ $m y c u r r e n t m a t h e m a t i c a l s k i l l a n d$ $I^{'} m g r a t e f u l .$ $W h a t t e x t b o o k s a n d y o u t u b e c h a n n e l o r$ $p l a y l i s t w o u l d y o u r e c o m m e n d t h a t I$ $i n u n d e r s t a n d i n g f r o m t h e f u n d a m e n t a l s$ $t o t h e a d v a n c e d l e v e l o f d i f f e r e n t i a l$ $e q u a t i o n s ?$
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

$I would recommend the books ‘ ‘ {A n a l y s i s}^{″} by$ $Terence Tao . They are both cheap and good .$ $And if you want to go further further than$ $the baiscs, I recommend to leanr the fields of$ $a n a l y t i c a l m e c h a n i c s, and d i s t r i b u t i o n$ $t h e o r y . Although those fields are a bit$ $physics oriented, the tools they develop are$ $extremely powerfull .$ $I recomend ‘ ‘ M a t h e m a t i c a l M e t h o d s o f$ $C l a s s i c a l P h y s i c s^{″} by Arnold for the first one$ $and ‘ ‘ D i s t r i b u t i o n {T h e o r y}^{″} by Laurent Swartz .$ $Hope that helps .$
Commented by necx122 last updated on 20/Apr/24
Thank you. This would truly help
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