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Let's compile a list of lectures where the lecturer wrote a book/notes specifically for that subject and which shine in terms of quality. I'll start:

https://www.youtube.com/playlist?list=PL5I-Eyk8l9FHdJUd9UujGcvumjCFPHbrd

book is picrel
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>>16276320
that book is trash. Just read Shilov
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>>16276933
What makes you say it's garbage? Garbage relative to Shilov's book I mean.
>>
>>16276933
where does Shilov cover differential forms or vector calculus?

thanks SHILLov
>>16276982
I don't think he read either author
>>
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Freshman physics by Shankar

videos and homework assignments
https://oyc.yale.edu/physics/phys-200
https://oyc.yale.edu/physics/phys-201

The courses were made into two books and the second editions contain exercises.
>>
bump
>>
Nonlinear dynamics and chaos by Strogatz
https://www.youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V
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>>16280289
What does mathematical dynamics study in general?
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>>16280708
Well, it changes over time.
>>
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>>16280898
>>
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>>16280898
>>
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Lagrangian mechanics youtube video series from this book

https://www.youtube.com/watch?v=MkqJGAOdN3E&list=PLbPr5CUeh0DoKe5krVhQk-0TkhPqrrToU
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>>16277345
>differential forms
read Sternberg's lectures on differential geometry
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>>16277345
any book that purports to cover a billion topics is bound to be shallow garbage, written to scam impressionable freshmen.
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>>16276320
maybe not as high level as some other stuff here but Gilbert Strang mentions his book on linear algebra in his series of video lectures on youtube, they go together.

https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8
>>
>>16281790
> Horrible scratchy zoom audio
You'd think smart people would at least get this right



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