📝 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...
Join this channel on YouTube: / @brightsideofmaths
💬 Access to the community forum: https://thebrightsideofmathematics.co...
🕚 Early access for videos: https://thebrightsideofmathematics.co...
❓ FAQ: https://thebrightsideofmathematics.co...
🛠️ What tools do you use: https://thebrightsideofmathematics.co...
📚 Download my books: https://thebrightsideofmathematics.co...
Please consider 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
#Approximation
#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...
Watch video Fourier Transform 3 | Orthogonal Basis [dark version] online without registration, duration hours minute second in high quality. This video was added by user The Bright Side of Mathematics 09 May 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 1,184 once and liked it 46 people.