Fourier Transform 3 | Orthogonal Basis

📝 Find more here: https://tbsom.de/s/ft
👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofm...
Other possibilities here: https://tbsom.de/sp
You can also support me via PayPal: https://paypal.me/brightmaths (Use "For friends and family" as payment type)
Or via Ko-fi: https://ko-fi.com/thebrightsideofmath...
Or via Patreon:   / bsom  
Or via other methods: https://thebrightsideofmathematics.co...

Please considering to support me if this video was helpful such that I can continue to produce them :)
Each supporter gets access to the additional material. If you need more information, just send me an email: https://tbsom.de/s/mail

Watch the whole video series about Fourier Transform and download PDF versions, quizzes and exercises: https://tbsom.de/s/ft
Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: https://tbsom.de/s/subscribe

🌙 There is also a dark mode version of this video:    • Fourier Transform 3 | Orthogonal Basi...  
🔆 There is also a bright mode version of this video:    • Fourier Transform 3 | Orthogonal Basis  

🔆 To find the YouTube-Playlist, click here for the bright version:    • Fourier Transform  
🌙 And click here for the dark version of the playlist:    • Fourier Transform [dark]  

🙏 Thanks to all supporters! They are mentioned in the credits of the video :)

This is my video series about Fourier Transform where we talk a lot about Fourier Series. So important topics are trigonometric polynomials, integrable functions, inner products for functions, orthogonal projections, and a lot of formulas for Cosine and Sine functions.I hope that it will help everyone who wants to learn about these things.

00:00 Introduction
00:45 Real trigonometric polynomials
01:30 Subspace of trigonometric polynomials
02:41 Inner product for trigonometric polynomials
04:11 Examples
11:54 Result: OB for trigonometric polynomials
12:55 Credits

#FourierTransform
#Mathematics
#FourierSeries
#LearnMath
#Integrals
#Derivatives

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

For questions, you can contact me: https://steadyhq.com/en/backend/messa...