14 Hacker News comments link this video. Each one links back to its thread.
dvddgldMar 2018Strongly recommends
Two quick things I can recommend without hesitation, which focus on an intuitive understanding of concepts: 1. Essence of Linear Algebra mini-series - ▶ this video 2. Better Explained website - [link] YouTube has a lot of high quality math content, it definitely helped through university. It's also worth mentioning the Stanford U courses. The main takeaway I have for you is learn the concepts intuitively first, then spend the time to play around with them on paper until they sink in. Some things will be easy, some will be frustrating, much like programming you will walk away from a frustrating problem and have an epiphany while doing something completely different. All the best and have fun!
in “Ask HN: How to self-learn math?” · View on HN
hexane360Dec 2017Strongly recommends
If anyone's looking for a (high level) overview of linear algebra, I'd highly recommend 3blue1brown's video series: ▶ this video It's mostly graphical, and is really helpful in forming and cementing an intuition for linear algebra.
in “Down with Determinants (1995)” · View on HN
makmanalpSep 2017Strongly recommends
For linear algebra basics, I also especially recommend 3Blue1Brown's youtube channel and his "Essence of" series: ▶ this video I've never seen the material presented more clearly - it's completely visual and focused on building intuition first.
in “Special Linear Systems and Cholesky Factorization for Programmers” · View on HN
Double_CastApr 2017Strongly recommends
Fror a high-level overview of linear algebra, 3Blue1Brown's youtube series I cannot recommend highly enough. ▶ this video
in “No bullshit guide to linear algebra – v2” · View on HN
wycJan 2017Strongly recommends
Wow, this lecturer is great! I think this is the most intuitive explanation of Kalman filters I've seen yet. I've seen other lecturers try to quickly jump into state space and lose students with big matrices. I would have paid good money for this if I wasn't already familiar with the material. The clarity is up there with The Essence of Linear Algebra: ▶ this video Trading math videos on the Internet--definitely nerds.
in “How a Kalman filter works, in pictures (2015)” · View on HN
hiaux0Mar 2018Recommends
+1 And definitely follow through his "pause and ponder" sections. If you want to build up your maths skills, it is crucial to learn how to think in the maths way. Like becoming a good programmer involves writing lots of code yourself, or to become a good dancer you need to practice your steps. For maths it's abstract thinking. Appreciation of maths is one thing, having the discipline to self-study a whole other. Edit. Regarding your 2nd Edit: His videos are made for the broadest audience possible. I'd recommend picking any video whose topic interests you the most at the moment. You will see what knowledge you lack (take notes of these!) and can expand from there. Be it to watch his maths fundamental ((1)) series [0],[1] or just rewatch. ((1)): As in any other things, knowing your fundamentals is significant to the understanding of a topic. It won't help you at all if you can apply (copy paste) some machine learning techniques if you don't know about linear algebra at all. [0]: ▶ this video [1]: [link]
in “Ask HN: How to self-learn math?” · View on HN
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skadamatDec 2017Recommends
So many things I could say about this, but I"ll let Alan Kay speak for me - [link] Alan talks about how ideas in Calculus could be manifested from an early age and a richness in understanding built up as they aged up: - at very young ages, kids really respond well through "doing" / the enactive channel. When asked to draw a circle, kids in Papert's group would first emulate what a LOGO turtle would do by rotating their body in a circle (making tiny increments in x and y). - as they got a bit older, the visual / iconic channel was more developed and they could understand the abstraction of a circle on pencil/paper and how the concepts carried over there - closer to early teens, symbols were much easier to grasp and relate to, etc. With this context in mind, there have been some cool efforts to mix the second and third channels I just mentioned to communicate advanced math concepts. Vi Hart and Grant Sanderson's youtube channels come to mind. Here are my favorite videos by Grant: - "What does it feel like to invent math": [link] - On the visual intuition behind a hard problem on the Putnam exam - "The hardest problem on the hardest test": [link] - From vectors to matrices to vector spaces to higher-level ideas like the link between linear algebra and calculus: "Essence of linear algebra" series: ▶ this video What I especially like about Grant's videos, is that he often walks through what a mathematician would do, the questions she would ask, etc.
in “Communicating Advanced Mathematics to Kids” · View on HN
dyaroslaDec 2017Recommends
For an article like this I find that static visualizations aren't anywhere near as effective as dynamic ones found in a similar explanation here (3Blue1Brown on Linear Algebra Transformations) ▶ this video
in “Matrices from a geometric perspective” · View on HN
afarrellApr 2017Recommends
Ooooh, these are nice. Here are mine: Extra History: stories of historical incidents — [link] Real Engineering: mostly materials science — [link] - Wendover Productions — mostly transportation - [link] Tom Scott: a bit of everything — [link] - Jay foreman: Urban planning and maps — [link] The Engineer Guy: Manufacturing — [link] Practical Engineering: Mostly Civil Engineering — [link] 3Blue1Brown: Math, visualized to me more intuitive — ▶ this video
in “Ask HN: How do you unwind at the end of a day?” · View on HN
espeedFeb 2017Recommends
See the "Essence of Linear Algebra" (visualized) by the same author -- it should give you more intuition into the nature of the transformations: Essence of Linear Algebra ▶ this video
in “Why does e to pi i equal -1? (2015) [video]” · View on HN
espeedFeb 2017Recommends
Have you seen the Essence of Linear Algebra video series posted to HN a few days ago? Seeing the geometric transformations animated gives you intuition hard to develop otherwise: Essence of Linear Algebra (visualized) ▶ this video
in “Big Picture of Calculus (2010) [video]” · View on HN
c3534lNov 2016Recommends
It at least cuts down on the amount of time you have to explain the mechanics of it. This is more intuitive to memorize than an algorithm composed of bullet-point instructions. For intuition, I highly recommend ▶ this video - I think both the intuition and practicing the details should be learned.
in “Matrix Multiplication” · View on HN
hal9000xpSep 2017Cites it
Is there any book which actually explains where matrix and its rules come from? Instead of throwing on you matrix multiplication rules in dogmatic way so you blindly follow them like mindless robot? I know there are lectures in YouTube from 3Blue1Brown : ▶ this video So I want a book which covers linear algebra in the similar manner.
in “Linear Algebra for AI” · View on HN
trOct 2016Cites it
The creator of the Triangle of Power ( [link] ) and the Essence of Linear Algebra ( ▶ this video ). He is now trying to focus full time on online math education.
in “Help support math education channel 3blue1brown (the Triangle of Power guy)” · View on HN