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Immersive Linear Algebra – textbook with fully interactive figures (2015)

immersivemath.com

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Re: Immersive Linear Algebra – textbook with fully interactive figures (2015)

#72
post #62
post #44

Earlier quoted context omitted.

> the difficulty was in my rigidness in understanding At what point did you realize this? Like, could you provide a specific example of a topic you thought was hard at first but later came back to and realized was all about the intuition?

Not the OP, but... I was just reading Landau & Lifshitz' "Statistical Physics", and can reflect on a series of thoughts that may elaborate on how intuition plays a role in the enjoyment and understanding of complex material. I've been meaning to write it down anyway... On page 3, the book says "A fundamental feature of this [closed system/open subsystem] approach is the fact that, because of the extreme complexity of…

Thanks for writing that.

Re: Immersive Linear Algebra – textbook with fully interactive figures (2015)

#73
post #62
post #44

Earlier quoted context omitted.

> the difficulty was in my rigidness in understanding At what point did you realize this? Like, could you provide a specific example of a topic you thought was hard at first but later came back to and realized was all about the intuition?

Not the OP, but... I was just reading Landau & Lifshitz' "Statistical Physics", and can reflect on a series of thoughts that may elaborate on how intuition plays a role in the enjoyment and understanding of complex material. I've been meaning to write it down anyway... On page 3, the book says "A fundamental feature of this [closed system/open subsystem] approach is the fact that, because of the extreme complexity of…

> I could probably talk for days about all the different ways every subject can be reduced to transformations and invariants and how they are used to solve problems.

I find myself partial to this type of world view too. I believe it is part of the appeal of functional programming, at the basest level, to shape the programming model into transformations (functions) and invariants (state).

Re: Immersive Linear Algebra – textbook with fully interactive figures (2015)

#74
post #62
post #44

Earlier quoted context omitted.

> the difficulty was in my rigidness in understanding At what point did you realize this? Like, could you provide a specific example of a topic you thought was hard at first but later came back to and realized was all about the intuition?

Not the OP, but... I was just reading Landau & Lifshitz' "Statistical Physics", and can reflect on a series of thoughts that may elaborate on how intuition plays a role in the enjoyment and understanding of complex material. I've been meaning to write it down anyway... On page 3, the book says "A fundamental feature of this [closed system/open subsystem] approach is the fact that, because of the extreme complexity of…

> I could probably talk for days about all the different ways every subject can be reduced to transformations and invariants and how they are used to solve problems.

I find myself partial to this type of world view too. I believe it is part of the appeal of functional programming to, at the basest level, shape the programming model into transformations (functions) and invariants (state).

Re: Immersive Linear Algebra – textbook with fully interactive figures (2015)

#76
post #36

I'm a MSc in CS student at the university where the authors (whom I've met a few times) teach. If you have any questions you think I'd know the answer to, ask away!

Perhaps you can let them know their work is being discussed on HN :)

A good idea! Although now we are already aware. If you have any questions you can ask us here or at immersivemath@gmail.com

Re: Immersive Linear Algebra – textbook with fully interactive figures (2015)

#77
post #16

Does anyone know more about how the figures were developed? I found https://www.lth.se/fileadmin/lth/genombrottet/LUkonf2015/41_... which says "The figures were programmed using JavaScript using a graphics engine that we have developed for the interactive illustrations", but that's all the detail it gives.

Is there anything in particular that you would like to know?

Re: Immersive Linear Algebra – textbook with fully interactive figures (2015)

#78
post #48

Earlier quoted context omitted.

Doesn't that defeat the point of intractability?

Interactivity maybe, intractability is not having the property of being tractable. For an algorithm, this means that its performance can not be described in polynomials. But your point is still valid, a pdf does not support animations, thus a pdf would be useless.

I didn't ask PDF for interactivity, i asked PDF for taking notes. The theory is so solid.
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