Numerical analysis | Theorems about polynomials | Theorems in analysis

Equioscillation theorem

In mathematics, the equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev. (Wikipedia).

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Linear Algebra - Lecture 33 - Eigenvectors and Eigenvalues

In this lecture, we define eigenvectors and eigenvalues of a square matrix. We also prove a couple of useful theorems related to these concepts.

From playlist Linear Algebra Lectures

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Eigenvalues | Eigenvalues and Eigenvectors

In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked

From playlist Linear Algebra

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A03 Eigenvalues

The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.

From playlist A Second Course in Differential Equations

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Ex: Find the Eigenvalues of a 3x3 Matrix

This video explains how to determine the eigenvalues of a given matrix. http://mathispower4u.com

From playlist Eigenvalues and Eigenvectors

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Eigenvalues + eigenvectors example

Free ebook http://tinyurl.com/EngMathYT I show how to calculate the eigenvalues and eigenvectors of a matrix for those wanting to review their understanding.

From playlist Engineering Mathematics

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (3 of 35) What Are Eigenvalues? (Example 1)

Visit http://ilectureonline.com for more math and science lectures! In this video I will, using the trace of matrix A, find the eigenvalues, lambda1=? and lambda2=?, given a 2x2 matrix (example 1). Next video in this series can be seen at: https://youtu.be/kHH1tjWtDAU

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Existence of Eigenvalues

Polynomials applied to an operator. Proof that every operator on a finite-dimensional, nonzero, complex vector space has an eigenvalue (without using determinants!).

From playlist Linear Algebra Done Right

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (2 of 35) What Are Eigenvalues? (Part 2)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show the eigenvalue, lambda, is derived from a matrix (Part 2). Next video in this series can be seen at: https://youtu.be/A_unWhKa7Sw

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f

From playlist Math 1171 (Calculus 1) Fall 2021

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Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

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What is Green's theorem? Chris Tisdell UNSW

This lecture discusses Green's theorem in the plane. Green's theorem not only gives a relationship between double integrals and line integrals, but it also gives a relationship between "curl" and "circulation". In addition, Gauss' divergence theorem in the plane is also discussed, whic

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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Real Analysis Ep 32: The Mean Value Theorem

Episode 32 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is more about the mean value theorem and related ideas. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker

From playlist Math 3371 (Real analysis) Fall 2020

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Pythagorean theorem - What is it?

► My Geometry course: https://www.kristakingmath.com/geometry-course Pythagorean theorem is super important in math. You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond! That’s

From playlist Geometry

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Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]

This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the

From playlist Wolfram Physics Project Livestream Archive

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Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains

Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal

From playlist AATRN 2020

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Worldwide Calculus: Extrema and the Mean Value Theorem

Lecture on 'Extrema and the Mean Value Theorem' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Worldwide Single-Variable Calculus for AP®

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Stokes' Theorem and Green's Theorem

Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Stoke's Theorem Overview

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

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Green's Theorem. Chris Tisdell UNSW

This is the 2nd lecture on Green's theorem and its use. In this lecture we explore some interesting applications of Green's theorem and present several examples. Also some proofs are discussed.

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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Properties of Eigenvalues and Eigenvectors: Determining Ax and A(x+y) without A

This video explains how to use eigenvalue and eigenvector properties to determine Ax.

From playlist Eigenvalues and Eigenvectors

Related pages

Minimax approximation algorithm | Approximation theory | Polynomial | Uniform norm | Mathematics | Remez algorithm | Continuous function | Pafnuty Chebyshev