Proof of Euler's Formula

preview_player
Показать описание
In this video, I am proving Euler's formula using two different methods and explaining in detail to make it as accessible as possible for you all.
Whether you're a high school student, university learner, or a math enthusiast, this video is tailored for you.
Enhance your understanding of Euler's Formula with clear explanations and demonstrations.

Key points covered
1. Proof through Differential Equations: Witness the beauty of Euler's Formula as we navigate through the realm of differential equations.
2. Proof through Derivatives: Explore an alternative perspective as we showcase how derivatives contribute to the unveiling of Euler's Formula.

If you find this video insightful and engaging, don't forget to hit the like button, share with fellow math enthusiasts, and subscribe for more enriching math content. Thank you for joining us on this mathematical journey!

There are various other videos available on my channel and more will be uploaded continuously, so feel free to visit and check them out.

#Eulersformula #mathwithalex
Рекомендации по теме
Комментарии
Автор

If we take the derivative of both sides WRT θ, we get:

ie^iθ=-sin(θ)+icos(θ)

Then, if we multiply both sides by -I, we get:


christophernodurft
Автор

What is the name of the program you write these videos with?

دجلةللغرب
Автор

Can you make a video on how to solve the integral by substitution?

دجلةللغرب
Автор

can you do a video about epsilon delta proofs

Neyzurr
Автор

Hi Alex,
I wonder why is constant C belongs to real numbers but not 0?

ppoopp
Автор

Thank you for another interesting video.
Question:
Is it possible to proof this formula this way:
If both expressions on the left and on the right a equal, so must every derivation be the same. Every derivation of the both functions follows a certain pattern, so you can see that the 1000th derivation of both is equal too, that means, the both functions must be equal to each other.
What do you think?

frunsebischkek
Автор

Beautiful video as always, great job!

AlucTheMia
Автор

Could you please do a video about general complex exponentiation in the future? Such as raising any real or complex number to the power of any other complex number. Cheers! ❤

AlucTheMia