The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier
Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k
From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM
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
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
The beautiful geometric view of FOURIER SERIES // The Linear Algebra Perspective
Fourier Series can sometimes seem very computational and full of integrals, but there is actually a very deep and important geometric picture that is analogous to Linear Algebra. So many core ideas from linear algebra like bases, linear independence, orthogonality, inner products, and proj
From playlist Fourier
Intro to Fourier series and how to calculate them
Download the free PDF from http://tinyurl.com/EngMathYT This is a basic introduction to Fourier series and how to calculate them. An example is presented that illustrates the computations involved. Such ideas are seen in university mathematics.
From playlist Fourier
Fourier series + Fourier's theorem
Free ebook http://tinyurl.com/EngMathYT A basic lecture on how to calculate Fourier series and a discussion of Fourier's theorem, which gives conditions under which a Fourier series will converge to a given function.
From playlist Engineering Mathematics
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
Free ebook http://tinyurl.com/EngMathYT A tutorial showing how to to calculate Fourier series. Several examples are presented to illustrate the ideas.
From playlist Engineering Mathematics
Lecture 20, The Laplace Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 20, The Laplace Transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6.007 Signals and Systems, 1987
The dot (a.k.a. inner) product
The dot product is a simple but important algorithm for many signal processing applications, including the Fourier transform and convolution. In this video, you will learn how to compute the dot product, how to interpret the sign of a dot product, and two interpretations (algebraic and geo
From playlist OLD ANTS #2) The discrete-time Fourier transform
Fourier Series (for PDEs) w/ Fourier Polynomials (Orthogonal Projections in Inner Product Spaces)
Fourier Series (for Partial Differential Equations) are Constructed with Fourier Polynomials, which are Orthogonal Projections in Inner Product Spaces (in this case, the Function Space of Real-Valued Continuous Functions C[-pi,pi] with the inner product of f and g defined to be the integra
From playlist Fourier
Lecture 22, The z-Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 22, The z-Transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6.007 Signals and Systems, 1987
Modulation Spaces and Applications to Hartree-Fock Equations by Divyang Bhimani
We discuss some ongoing interest (since last decade) in use of modulation spaces in harmonic analysis and its connection to nonlinear dispersive equations. In particular, we shall discuss results on Hermite multiplier and composition operators on modulation spaces. As an application to the
From playlist ICTS Colloquia
Structure theorems for intertwining wave operators - Wilhelm Schlag
Analysis Seminar Topic: Structure theorems for intertwining wave operators Speaker: Wilhelm Schlag Affiliation: University of Chicago; Visiting Professor, School of Mathematics Date: November 1, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Lec 31 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Lecture 31: Examples of discrete Fourier transform; fast Fourier transform; convolution (part 1) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
Geordie Williamson. Some examples of Koszul duality via dg algebras
Seminar talk on CORONA GS: https://murmuno.mit.edu/coronags Abstract: I will explain the basics of Morita theory for derived categories and give some examples, including the classic BGG duality between symmetric and exterior algebras. This is standard stuff but should perhaps be better kn
From playlist CORONA GS
The perfection of the Fourier transform
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #2) Static spectral analysis
Fourier Series Coefficients (where did they come from?)
Learn how to derive the Fourier series coefficients formulas. Remember, a Fourier series is a series representation of a function with sin(nx) and cos(nx) as its building blocks. Meanwhile, a Taylor series is a series representation of a function with x^n as its building blocks. These are
From playlist Fourier Series