Mathematics Is Fun
Live, Love, Logic.
Dec 26, 2019
Free and Open-Source Textbooks
http://danaernst.com/resources/free-and-open-source-textbooks/
Here is a partial list of free and/or open-source textbooks. If you find one of these more helpful than another, please let me know. Also, take a peek at Rob Beezer's selection on this page. Moreover, the American Institute of Mathematics maintains a list of approved open-source textbooks. Also, check out the free computer science books by Allen B. Downey (Olin College) at Green Tea Press. Downey's Textbook manifesto is definitely worth reading.
Sep 1, 2019
Euler Disc and its mathematics
As described in wikipedia:
Here are the videos where the Euler discs phenomenon is highlighted and explained:
https://www.youtube.com/watch?v=55gJgCoDld4 (interesting study of the Euler Disc motion from an engineering point of view).
https://www.real-world-physics-problems.com/eulers-disk.html (here the mathematics is worked out in details - and quite easy to understand with undergraduate Physics as background)
https://www.techly.com.au/2015/09/28/eulers-disk-amazing-plastic-disk-will-melt-brain-hear/
https://www.real-world-physics-problems.com/eulers-disk.html (here the mathematics is worked out in details - and quite easy to understand with undergraduate Physics as background)
https://www.techly.com.au/2015/09/28/eulers-disk-amazing-plastic-disk-will-melt-brain-hear/
Aug 18, 2019
Mathematical Optimal Control Theory
https://math.berkeley.edu/~evans/control.course.pdf
Bellman Optimality Principle:
Markov property of stochastic processes:
Optimal Value Function:
Computing the optimal action:
Bellman Equations:
Aug 12, 2019
Exploring about Mandelbrot Set
https://www.youtube.com/watch?v=FFftmWSzgmk
And trying out the GeoGebra software:
https://www.geogebra.org/m/BUVhcRSv (these files are from Ben)
To see the sequence of square operation and its path:
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