[HN Gopher] A few of the best math explainers from this summer [...
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       A few of the best math explainers from this summer [video]
        
       Author : ykonstant
       Score  : 59 points
       Date   : 2021-10-24 17:42 UTC (5 hours ago)
        
 (HTM) web link (www.youtube.com)
 (TXT) w3m dump (www.youtube.com)
        
       | mcdonje wrote:
       | Great channel and initiative. Here's the blog post linked to in
       | the video: https://www.3blue1brown.com/blog/some1-results
        
         | jbj wrote:
         | thanks, a pleasure to get text first, and video as the
         | complement
        
           | Evgenii1 wrote:
           | All his playlists have an accompanying text post some with
           | exercises if anybody else doesn't know
           | https://www.3blue1brown.com/lessons/derivatives-power-rule
        
       | strainer wrote:
       | This little known channel: sudgylacmoe - which doesn't seem
       | present in the list, has the best video by far on Geometric
       | Algebra (imho)
       | 
       | https://www.youtube.com/watch?v=60z_hpEAtD8
        
       | Evgenii1 wrote:
       | Wildberger's channel for me has the best 'explainers', he
       | reinterprets math and in the process you end up learning about
       | both the standard definition and a different model he comes up
       | with for example in his FMP playlist is a totally wild
       | reinterpretation of the complex numbers using Dihedron algebra
       | https://www.youtube.com/playlist?list=PLIljB45xT85Bfc-S4WHvT...
       | 
       | I always like seeing standard math curriculum cast to some other
       | interpretation for example E.T. Jaynes book 'Probability Theory
       | the Logic of Science' the first few chapters he builds up from
       | scratch probability theory deriving it entirely from quantitative
       | logic using a running example of a robot being programmed using
       | sampling theory and hypothesis testing, parameter estimation and
       | performing random experiments. No Venn diagrams, the Bernoulli
       | urn rule comes popping out as a logical consequence, the central
       | limit theorem reveals itself as a special case when you discover
       | a phenomenon over the chapters where all other distributions seem
       | to gravitate towards a gaussian/normal distribution which he
       | proposes renaming the central distribution then there's even an
       | entire chapter on where the names for these distributions come
       | from and how they are misleading. No measure theory either, you
       | expand a continuous function to a finite orthogonal function, you
       | assign probabilities in a finite dimensional space, do the
       | probability calculation then pass to the limit at the end where
       | you end up using the Lebesgue integral in what he claims is 'it's
       | original meaning'.
       | 
       | Anyone who knows of more books or channels that do this I'd be
       | interested
        
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       (page generated 2021-10-24 23:01 UTC)