In this video, I find all the continuous functions f such that f(f(f(x))) = x (it turns out that there is only one, haha). I also show that the question of finding all f such that f(f(x)) = x is somewhat ill-posed, there are many solutions to that equation.…

Integral of e^(ikx) from -pi to pi where k is an integer,

Complex Fourier Series: https://youtu.be/aC0j8CW58AM

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Fourier Series of e^x from -pi to pi, featuring Sum of (-1)^n/(1+n^2), fourier series engineering mathematics
Fourier Series Formulas: https://youtu.be/iSw2xFhMRN0
Integral of e^(ax)*cos(bx), integral of e^(ax)*sin(bx), https://youtu.be/E_ecLWj_rcM

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We will derive the coefficients formula for the complex Fourier series.
The Real Fourier Series, https://youtu.be/iSw2xFhMRN0
Complex definition of sine and cosine, https://youtu.be/CjQTWtW_x9o
Integral of e^(ikx) from -pi to pi, https://youtu.be/BIfy7vV0LmE…

Going and Going and Going and Going... . . . . . #Repost @polymathematica with @get_repost ・・・ The Möbius strip is back!... 🤗🤗🤗 ^ ^ ^ ^ #Repost @s_sorli • • • ^ ^ ^ ^ #mathisfun #engineeringstudent #computerscience #mobius #physics #checkmate #engineeringmemes…

In this video, I explicitly calculate the sum of 1/n^2+1 from 0 to infinity. Does the answer involve arctan? Does it involve pi^2/6 ? Watch this video to find out!

To calculate this sum, I use Parseval's identity by finding the Fourier coefficients of e^x.…

Whole playlist: https://www.youtube.com/playlist?list=PLj7p5OoL6vGwLWpCYVVekN5knk3jmHZiR&disable_polymer=true Evaluating Limits from a graph, jump discontinu...

Whole playlist: https://www.youtube.com/playlist?list=PLj7p5OoL6vGwLWpCYVVekN5knk3jmHZiR&disable_polymer=true ,Calculus 1 Evaluating Limits, Evaluating Limit...

Whole playlist: https://www.youtube.com/playlist?list=PLj7p5OoL6vGwLWpCYVVekN5knk3jmHZiR&disable_polymer=true Evaluating Limits at infinity, Limits from the ...

Evaluating Limits with factoring and canceling, Evaluating Limits at infinity, tan^-1(x/(x+2)), Please subscribe for more math content! Check out my T-shirts...

Evaluating Limits with long division, polynomial division, Evaluating Limits with complex fractions, Please subscribe for more math content! Check out my T-s...