MIN0010
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Yes, there are numerous cases where a field in "pure" mathematics proved interesting theorems that mathematicians undertook because of its challenging and elegant nature (like certain theorems possess generality and elegance) which were then to be found to be practically useful, which are called "applied" mathematics. Frankly, this distinction is blurred as pure mathematics are so useful (see Eugene Wigner's "The Unreasonable Effectiveness of Mathematics in the Natural Sciences") that the abstract nature of mathematics has huge extensibility and general applications in multiple domains. For instance, Einstein's GR was based on the pure mathematics of Riemannian manifolds, which is an abstract topological structure, not tied to reality in any way initially. Or... (read more)
Dr Trefor Bazett makes high quality mathematics videos in an intuitive and engaging manner, highly recommended! Enjoy :)
Links:
https://www.youtube.com/@DrTrefor
Dr. Trefor Bazett | Assistant Teaching Professor, Dept. of Mathematics & Statistics, University of Victoria (uvic.ca)
3Blue1Brown announced on his Substack that the lessons now have interactive exercises built into them now finally, after four years! Here is the URL: 3Blue1Brown - Essence of linear algebra preview
In the announcement, Grant also asked if more quizzes should be added, since "a start-up named Retainit reached out asking about creating associated quizzes for 3b1b videos in their app."
Given the effect on your motivation to pursue mathematics, I think this app partnership could be game-theoretically optimal especially for others in your position.
Please let me know why the edit is bad and I will improve it. I appreciate more constructive feedback.