In mathematics, specifically in algebraic topology, the Euler class is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how "twisted" the vector bundle is. In the case of the tangent bundle of a smooth manifold, it generalizes the classical notion of Euler characteristic. It is named after Leonhard Euler because of this. Throughout this article is an oriented, real vector bundle of rank over a base space . (Wikipedia).
This is a video that explains Euler Groups and incudes a coding demonstration for constructing the Cayley Table. The link to the JS Fiddle is: https://jsfiddle.net/colebabiuch/jpem1d73/10/
From playlist Summer of Math Exposition Youtube Videos
B03 An improvement of the Euler method
Introducing predictor-corrector methods, improving on Euler's method of numerical analysis.
From playlist A Second Course in Differential Equations
B02 An introduction to the Euler method
An introduction to Euler's method.
From playlist A Second Course in Differential Equations
Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler
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 3 Linear Algebra: Linear Transformations
Euler Pronunciation: In Depth Analysis
Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! ►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithema
From playlist Fun and Amazing Math
Eulerian Path - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
B11 The improved Euler Formula
The improved Euler Formula using Python.
From playlist A Second Course in Differential Equations
Euler’s method - How to use it?
► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,
From playlist Differential Equations
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations
Marc Levine - 1/3 Enumerative Geometry and Quadratic Forms
Notes: https://nextcloud.ihes.fr/index.php/s/BL5CJK4Ls8DT4S9 Enumerative Geometry and Quadratic Forms: Euler characteristics and Euler classes
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Marc Levine: Refined enumerative geometry (Lecture 3)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 3: Virtual fundamental classes in motivic homotopy theory Using the formalism of algebraic stacks, Behrend-Fantechi define the intrinsic normal cone, its fundamental class in
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Marc Levine - 2/3 Enumerative Geometry and Quadratic Forms
Notes: https://nextcloud.ihes.fr/index.php/s/9BNtTbXfwAG7xwq Computations of Euler Characteristics and Euler Classes
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Michael BORINSKY - The Euler Characteristic of Out(Fn) and the Hopf Algebra of Graphs
In their 1986 work, Harer and Zagier gave an expression for the Euler characteristic of the moduli space of curves, M_gn, or equivalently the mapping class group of a surface. Recently, in joint work with Karen Vogtmann, we performed a similar analysis for Out(Fn), the outer automorphism g
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Kirsten Wickelgren - Integrability Result for 𝔸^1-Euler Numbers
Notes: https://nextcloud.ihes.fr/index.php/s/q5f4YriEPGq6dBJ -- 𝔸^1-Euler numbers can be constructed with Hochschild homology, self-duality of Koszul complexes, pushforwards in 𝑆𝐿_𝑐 oriented cohomology theories, and sums of local degrees. We show an integrality result for 𝔸^1-Euler number
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Marc Levine: Refined enumerative geometry (Lecture 4)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 4: Characteristic classes in Witt-cohomology Classical enumerative geometry relies heavily on the theory of Chern classes of vector bundles and the splitting principle, which
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
An Euler System for the Symmetric Square of a Modular Form - Chris Skinner
An Euler System for the Symmetric Square of a Modular Form - Chris Skinner Joint IAS/PU Number Theory Seminar Topic: An Euler System for the Symmetric Square of a Modular Form Speaker: Chris Skinner Affiliation: Princeton University Date: February 16, 2023 I will explain a new construct
From playlist Mathematics
Marc Levine: Refined enumerative geometry (Lecture 2)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 2: Euler classes, Euler characteristics and Riemann-Hurwicz formulas The Euler class of a vector bundle is defined in the twisted Chow-Witt ring and gives rise to an Euler ch
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Math Explorations Ep21, More graph theory (Mar 22, 2022)
This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web
From playlist Math 1015 (Mathematical Explorations) Spring 2022
This video given Euler's identity, reviews how to derive Euler's formula using known power series, and then verifies Euler's identity with Euler's formula http://mathispower4u.com
From playlist Mathematics General Interest
早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」(担当教員:早水 桃子)の授業動画です.文理を問わず,誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます.グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して,現実の諸問題を解決するための応用力を身につけましょう. --------------------------------------------------------------------------------------- 全ての辺をちょうど1回ずつ通過して一筆書きで巡回できるグラフをオイラーグラフといい,その一筆書
From playlist 離散数学入門Ⅲ