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There exists a book already for Linear Algebra w/interactive diagrams (that explodes my CPU) http://immersivemath.com/ila/index.html http://immersivemath.com/il

There exists a book already for Linear Algebra w/interactive diagrams (that explodes my CPU) http://immersivemath.com/ila/index.html http://immersivemath.com/ila/index.html I just want accompanying lectures that build intuition like these https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x... or even the author standing in front of a blackboard discussing each chapter in the book and posting the lectures on the book's page. Some author's have done this like https://cs.wheaton.edu/~tvandrun/dmfp/ https://cs.wheaton.edu/~tvandrun/dmfp/ If it must be 'immersive' I'd also rather have a self-contained interactive book I can keep locally with signed errata updates instead of having to rely on slow websites that may be abandoned by the author or shutdown for whatever copyright reasons or ninja edited by somebody with misinformation. Edit: or a book with an online tutor, like the one MIT made for SICP http://icampustutor.csail.mit.edu/6.001-public/ http://icampustutor.csail.mit.edu/6.001-public/

nebabyte 10y ago
'Wikipedia with intuitions' would beat out any single book trying to record them. My hope is that they one day expand their scope to not only cover knowledge but different ways of looking at it/understanding it. Then for any given topic a given subject's 'lesson plan' could just follow a 'sequence' (a la LW) of excerpts reviewed for accuracy (in lieu of reading such excerpts out of a book) along with mediawiki/etc animations/images/videos that go along with those subjects. I suppose it'd be a good idea to version those 'lesson plans' so later courses/syllabuses can benefit from newly-researched knowledge after it has been peer reviewed and added to a later 'version' of the curriculum (i.e. mitigating the 'quality control' issue of information shared online). And of course lecturing as it traditionally exists can still thrive albeit with a more freed focus for interactive learning (Q+A, practice problems in class, or whatever transpires to be the best tool to use in dedicated class time/lecture time)... It just seems like singleton books as knowledge containers are obsolete next to the potential of QAing existing 'open source' knowledge without the publisher/etc overhead.
- jacobolus 10y ago
  > My hope is that they one day expand their scope [...] The “they” who make Wikipedia are just volunteer contributors. Go make it happen!
  - cgriswald 10y ago
    I can't imagine pouring my time and energy into adding this type of content and having it be removed for $arbitary_but_qualifying_reason.
  - nebabyte 10y ago
    The "they" who decide the content classes which will be handled by the project (enforced as rules of the wiki) are nonprofit organizations I'll never be on the board of, so basically what cgriswald said.
    - jacobolus 10y ago
      Your original comment can be summarized as “I bet it would be great if a bunch of other people did a few tens of thousands of hours of volunteer work to make new tools for teaching math to me.” Which as an idle speculative wish is fine as far as it goes, but has a vanishingly tiny chance of happening in whatever way you are envisioning. (Of course, various people around the world who are working on teaching math will continue to do their best, but without paying any attention to your specific desires.) If instead you said “Wow, I have this great idea that would be worth a large team of people spending a few tens of thousands of hours on. Does anyone have an idea about what kind of prototyping, political organizing, or other work I can do to start on a project like that so I can make my dream a reality? Is there anyone I should talk to about this?” Etc. that would be a much more interesting basis for further discussion, and might actually lead somewhere. The volunteers (and the tiny handful of paid staff) in charge of Wikipedia are certainly interested in new ideas for improving things. If you think it’s impossible that they’ll ever accept an improvement, and you aren’t interested in discussion, what’s the point in speculating about it?
- flubert 10y ago
InclinedPlane 10y ago
I'll second the recommendation on that video series: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x... Highly, highly recommended for anyone who wants to actually understand linear algebra. If you're studying the material or need to use linear algebra in applications or are just curious watch those videos. It's not a huge time invest and it's a huge "force multiplier" to actually have an intuition for what's going on under the hood instead of seeing things as just collections of numbers and magical sequences of operations that "do stuff" for who knows what reason.
- hackermailman 10y ago
  A proof-centric book I used that went well with the 3Blue1Brown series was Robert Valenza's LA book, which focuses on extending the applications of LA concepts to many settings which have no obvious geometric interpretations. It also has surprisingly easy proofs for exercises.

nebabyte 10y ago

'Wikipedia with intuitions' would beat out any single book trying to record them. My hope is that they one day expand their scope to not only cover knowledge but different ways of looking at it/understanding it. Then for any given topic a given subject's 'lesson plan' could just follow a 'sequence' (a la LW) of excerpts reviewed for accuracy (in lieu of reading such excerpts out of a book) along with mediawiki/etc animations/images/videos that go along with those subjects. I suppose it'd be a good idea to version those 'lesson plans' so later courses/syllabuses can benefit from newly-researched knowledge after it has been peer reviewed and added to a later 'version' of the curriculum (i.e. mitigating the 'quality control' issue of information shared online). And of course lecturing as it traditionally exists can still thrive albeit with a more freed focus for interactive learning (Q+A, practice problems in class, or whatever transpires to be the best tool to use in dedicated class time/lecture time)... It just seems like singleton books as knowledge containers are obsolete next to the potential of QAing existing 'open source' knowledge without the publisher/etc overhead.

jacobolus 10y ago
> My hope is that they one day expand their scope [...] The “they” who make Wikipedia are just volunteer contributors. Go make it happen!
- cgriswald 10y ago
  I can't imagine pouring my time and energy into adding this type of content and having it be removed for $arbitary_but_qualifying_reason.
- nebabyte 10y ago
  The "they" who decide the content classes which will be handled by the project (enforced as rules of the wiki) are nonprofit organizations I'll never be on the board of, so basically what cgriswald said.
  - jacobolus 10y ago
    Your original comment can be summarized as “I bet it would be great if a bunch of other people did a few tens of thousands of hours of volunteer work to make new tools for teaching math to me.” Which as an idle speculative wish is fine as far as it goes, but has a vanishingly tiny chance of happening in whatever way you are envisioning. (Of course, various people around the world who are working on teaching math will continue to do their best, but without paying any attention to your specific desires.) If instead you said “Wow, I have this great idea that would be worth a large team of people spending a few tens of thousands of hours on. Does anyone have an idea about what kind of prototyping, political organizing, or other work I can do to start on a project like that so I can make my dream a reality? Is there anyone I should talk to about this?” Etc. that would be a much more interesting basis for further discussion, and might actually lead somewhere. The volunteers (and the tiny handful of paid staff) in charge of Wikipedia are certainly interested in new ideas for improving things. If you think it’s impossible that they’ll ever accept an improvement, and you aren’t interested in discussion, what’s the point in speculating about it?
flubert 10y ago

InclinedPlane 10y ago

I'll second the recommendation on that video series: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x... Highly, highly recommended for anyone who wants to actually understand linear algebra. If you're studying the material or need to use linear algebra in applications or are just curious watch those videos. It's not a huge time invest and it's a huge "force multiplier" to actually have an intuition for what's going on under the hood instead of seeing things as just collections of numbers and magical sequences of operations that "do stuff" for who knows what reason.

hackermailman 10y ago
A proof-centric book I used that went well with the 3Blue1Brown series was Robert Valenza's LA book, which focuses on extending the applications of LA concepts to many settings which have no obvious geometric interpretations. It also has surprisingly easy proofs for exercises.