Manifolds 35 | Canonical Volume Forms

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  • Опубліковано 30 вер 2024
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    This is my video series about Manifolds where we start with topology, talk about differential forms and integration on manifolds, and end with the famous Stoke's theorem. I hope that it will help everyone who wants to learn about it.
    #Manifolds
    #Mathematics
    #LearnMath
    #calculus
    I hope that this helps students, pupils and others. Have fun!
    (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

КОМЕНТАРІ • 10

  • @dacianbonta2840
    @dacianbonta2840 5 днів тому

    orientation of orientable objects is oriented 🤠

  • @__-rs8kr
    @__-rs8kr 4 місяці тому +1

    I literally just finished my exam on manifolds! Great video as always!

  • @manus605
    @manus605 3 місяці тому

    Very nice video series so far! But its a pitty that the last videos from 37 up to 41 are suddenly behind a paywall. Not that I would generally refrain from supporting you (I think this is great content) but I watch only parts of the series for a very specific topic I currently need and I don't want to pay 10€ for watching 4 additional videos.

    • @brightsideofmaths
      @brightsideofmaths  3 місяці тому +1

      Thank you very much :) What do you think would be a better solution than the paywall?

    • @brightsideofmaths
      @brightsideofmaths  3 місяці тому +1

      You can also check some alternatives here: thebrightsideofmathematics.com/support/

    • @manus605
      @manus605 3 місяці тому

      @@brightsideofmaths
      Perhaps you could monetize your videos and introduce a slight amount of ads such that it will not disturb the user too much (in the beginning, maybe only one in the middle, and in the end) if your financial situation and the effort you invest into producing these videos makes it necessary.
      Basically, I'm always open to support good content but preferably on an amount that would be reasonable for me. Since I only need specific elements and randomly stumped upon your videos I feel it's a bit too much to pay for me if I may not use it on a regular basis with potential other alternatives out there. If your private situation may depend on the income of these videos, I would be definitively willing to support you more no matter how much I actually use them.
      But you should know that I already recommend your channel to my closer surrounding at the university. I hope this also helps when you gain more views.
      Best,
      M

    • @brightsideofmaths
      @brightsideofmaths  3 місяці тому

      ​@@manus605 Yes, my private situation depends on the income I get from the videos, mostly from nice supporters. Please write me a private message such that we can agree on a special price for you :)

  • @brofessorsbooks3352
    @brofessorsbooks3352 4 місяці тому +1

    Awesome!