A nice basis for a nilpotent operator. Jordan basis. Jordan form for an operator on a finite-dimensional complex vector space.
From playlist Linear Algebra Done Right
Title: Representations of an Algebra of Quantum Differential Operators
From playlist Differential Algebra and Related Topics VII (2016)
In this video I write down the axioms of Lie algebras and then discuss the defining anti-symmetric bilinear map (the Lie bracket) which is zero on the diagonal and fulfills the Jacobi identity. I'm following the compact book "Introduction to Lie Algebras" by Erdmann and Wildon. https://gi
From playlist Algebra
The derivative as an infinite matrix
In this video we imlement taking the n'th derivative of a polynomial in Python. The polynomial is just represented as the array of it's coefficients. Here's the code: https://gist.github.com/Nikolaj-K/ee0b81295abb86817331af3e3212d42f
From playlist Algebra
Stanford study reveals a deepening water crisis in Jordan
Prolonged and potentially destabilizing water shortages will become commonplace in Jordan by 2100, new research finds, unless the nation implements comprehensive reform, from fixing leaky pipes to desalinating seawater. Jordan’s water crisis is emblematic of challenges looming around the w
From playlist Stanford Highlights
We prove that Z is isomorphic to 3Z. Here Z is the set of all integers and 3Z is the set of all multiples of 3. Both form groups under addition. I hope this helps someone who is learning abstract algebra. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvc
From playlist Abstract Algebra Videos
Gradient identities from vector calculus
How to derive gradient identities from vector calculus. An example is discussed. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Linear Algebra 5.4 Differential Equations
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
Determinantal varieties and asymptotic expansion of Bergman kernels by Harald Upmeier
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018
Mod-03 Lec-19 Different Aspects of Hotelling Model
Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics
Linear Algebra 13g: Third Explanation of the Matrix Inversion Algorithm
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
The Weyl algebra and the Heisenberg Lie algebra
In this video we give a simple teaser into the world of operator algebras. In particular, we talk about the Weyl algebra and compute some expressions that fulfill the property which defines the Heisenberg Lie algebra http://math.uchicago.edu/~may/REU2012/REUPapers/Lingle.pdf https://en.w
From playlist Algebra
Generalized Kepler Problems - Guowu Meng
Generalized Kepler Problems Guowu Meng Hong Kong University of Science & Technology; Joint Member, School of Mathematics & Natural Sciences February 4, 2011 ANALYSIS/MATHEMATICAL PHYSICS SEMINAR For many elegant mathematical examples, one can 1) find theories behind them, 2) understand wh
From playlist Mathematics
Pre-recorded lecture 8: Differentially non-degenerate singular points and global theorems
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
28. Similar Matrices and Jordan Form
MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 28. Similar Matrices and Jordan Form License: Creative Commons BY-NC-SA More information at ht
From playlist MIT 18.06 Linear Algebra, Spring 2005
Nijenhuis geometry for ECRs: Pre-recorded Lecture 2 Part A
Pre-recorded Lecture 2 Part A: Nijenhuis geometry for ECRs Date: 9 February 2022 Lecture slides: https://mathematical-research-institute.sydney.edu.au/wp-content/uploads/2022/02/Prerecorded_Lecture2.pdf ---------------------------------------------------------------------------------------
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
Pre-recorded lecture 15: gl-regular Nijenhuis operators (part 4)
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Pre-recorded lecture 7: Single Jordan block with non-constant eigenvalue and Complex normal forms
***Apologies, but the original files to some of these lectures are broken, and thus freeze part way through, however the lecture slides can be found here: https://mathematical-research-institute.sydney.edu.au/wp-content/uploads/2022/02/Lecture7_Nijenhuis.pdf*** MATRIX-SMRI Symposium: Nije
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University