Math 139 Fourier Analysis Lecture 29: Finite Fourier Analysis; Fast Fourier Transform
Fourier coefficients of continuous functions on Z(N) (group of N-th roots of unity); Fourier inversion; Parseval-Plancherel formulae. Fast Fourier transform: how to best calculate the Fourier coefficients.
From playlist Course 8: Fourier Analysis
Math 139 Fourier Analysis Lecture 30: FFT ct'd; Fourier Analysis on Finite Abelian Groups
Proof of key lemma for Fast Fourier Transform. Fourier Analysis on Finite Abelian Groups: abelian groups; unit; order of a group; group homomorphism; isomorphism; direct product of abelian groups; structure theorem for finite abelian groups; characters; dual group
From playlist Course 8: Fourier Analysis
Free ebook http://tinyurl.com/EngMathYT A tutorial on Fourier series and how to calculate them. Plenty of examples are discussed to illustrate the ideas.
From playlist Engineering Mathematics
Math 139 Fourier Analysis Lecture 10.1 L^2 convergence of Fourier Series
(Unfortunately I taped only part of this lecture.) Fourier series converges to the function in the L^2 sense.
From playlist Course 8: Fourier Analysis
Math 139 Fourier Analysis Lecture 32: Fourier Analysis on Finite Abelian Groups
Proving that the dual group has the same order as the group (to show the characters form an orthonormal basis for the functions on the group). Fourier analysis on finite abelian groups: Fourier coefficients; Fourier series; Fourier inversion formula; Plancherel/Parseval theorem. Statemen
From playlist Course 8: Fourier Analysis
Data Science - Part XVI - Fourier Analysis
For downloadable versions of these lectures, please go to the following link: http://www.slideshare.net/DerekKane/presentations https://github.com/DerekKane/YouTube-Tutorials This lecture provides an overview of the Fourier Analysis and the Fourier Transform as applied in Machine Learnin
From playlist Data Science
How to compute a Fourier series: an example
Free ebook http://tinyurl.com/EngMathYT This video is a demonstration on how to compute a Fourier series of a simple given function. I discuss how to calculate the Fourier coefficients through integration and the simplifications involved. Fourier series are an important area of applied
From playlist Engineering Mathematics
This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an
From playlist Fourier
Lecture: Theory of the Fourier Transform
Outline of the basic theory of the Fourier Transform and the representation of data in the frequency domain
From playlist Beginning Scientific Computing
The Best Math Textbook for Everyone
I discuss one of my favorite math textbooks, Fourier Analysis: An Introduction by Elias Stein and Rami Shakarchi. I recommend this book to everyone in a STEM field who knows multivariable calculus and has some familiarity with ODE and linear algebra. This book is excellent for initiating
From playlist Math
What Math Classes do Engineers (and Physics Majors) Take? (Part 2)
Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Part 3: https://www.youtube.com/watch?v=qzyeFNBiFSU Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar In the last video I covered the re
From playlist What You Need To Know About Engineering
What We Covered In Graduate Math Methods of Physics
Finished my last lecture of mathematical methods of physics, so today I talk about the topics we covered.
From playlist Informative Videos For Physics Majors
This is part of an online course on foundations and applications of the Fourier transform. The course includes 4+ hours of video lectures, pdf readers, exercises, and solutions. Each of the video lectures comes with MATLAB code, Python code, and sample datasets for applications. With 3000
From playlist Understand the Fourier transform
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 4)
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single f
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
This video will show you math subjects that most people never see. Many of these subjects are graduate level but some are also undergraduate level. What other areas of math do you think most people never see? Leave a comment below:) All the Math You Missed: https://amzn.to/3ZCaebJ Applied
From playlist Book Reviews
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
18. Roth's theorem I: Fourier analytic proof over finite field
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The finite field model is a nice sandbox for methods and
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
David Morrison: How Much Mathematics Does a Theoretical Physicist Need to Know? [2005]
Sep 14, 2005 How Much Mathematics Does a Theoretical Physicist Need to Know? Dr. Dave Morrison, KITP & Duke University Mathematics is often called the language of science, yet mathematics -- like a natural language -- is constantly evolving. (Note that Newton had to found an entirely new b
From playlist Mathematics
Musimathics: Fourier Analysis (Part 8)
Welcome to the Musimathics series! Musimathics gives an overview of some of the most interesting topics in the field of mathematical music theory! You are watching the eighth video in the series. In this video, Chloe goes over the logic and reasoning behind both the Discrete and Continuou
From playlist Musimathics: Music & Math