Euler's Identity (Complex Numbers)

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Channel: Mark Newman

Views: 1,192,140

Rating: 4.8666434 out of 5

Keywords: Leonhard Euler, Euler's Number, Euler's Identity, Euler's Formula, Bernoulli, Complex Numbers, Real Number, euler, euler's formula, mathematics, math, complex numbers, maths, formula, numbers, lectures, online courses, Fourier transform online course, Fourier transform, creative coding, complex analysis, digital signal processing, signal processing, deep learning, algorithm, education, engineering lecture, electronics, acoustics, calculus, science, science videos, Mark Newman

Id: sKtloBAuP74

Length: 14min 30sec (870 seconds)

Published: Wed Jul 27 2016

Reddit Comments

[u/BlurryBigfoot74]

I really should watch this. Three topics I'm covering this term in math.

[u/fartfarter]

This is actually just the intro to a series that goes into more detail on Fourier analysis and convolution with an emphasis on audio signals, but the full text of the series is available on the guys website already: http://www.themobilestudio.net/the-fourier-transform-part-1

Its very thorough and easily understandable compared to other texts I've read on FFT. I can't wait for the rest of the videos to go up. He has a style and pace that makes a very abstract topic more concrete.

[u/Silberschweif]

Numberphile did a nice video on e last month, which works nicely together with this one.

https://youtu.be/AuA2EAgAegE

[u/bunchedupwalrus]

Great vid. I'm knee deep in classical mechanics right now and this helped me understand the proofs we've been doing much more clearly

[u/test-ti-cle]

so where's the rest? Fourier analysis and signal processing

[u/sumGIHuLRned2COD]

i imagine the moment when that identity clicked changed his worldview fourever

[u/[deleted]]

I sexually identify as a complex trascendental exponent

[u/thegreatestpuppy]

Thank you for sharing!!!!

[u/mark_h_newman]

Thanks for your comments on my video which is one of a whole series that I am currently producing for an online course I'm writing on the Fourier Transform (This video forms the introduction to the module on complex numbers, the language to the Fourier Transform).

See also https://www.youtube.com/watch?v=nriLq9R9Oyw for a preview of the module on Phase.

The aim of the course is help people (like me) who need their mathematical formulae explained to them in pictures and diagrams to better understand what the maths is actually doing.

The beauty of online courses is they can constantly evolve as more people watch them, make suggestions and submit ideas. Any ideas for what you think could or should be included in the course would be gratefully received.