Integral calculus | Theorems in analysis | Theorems in calculus
In integral calculus, Euler's formula for complex numbers may be used to evaluate integrals involving trigonometric functions. Using Euler's formula, any trigonometric function may be written in terms of complex exponential functions, namely and and then integrated. This technique is often simpler and faster than using trigonometric identities or integration by parts, and is sufficiently powerful to integrate any rational expression involving trigonometric functions. (Wikipedia).
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
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
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
''Euler's Formula'' for the Exponential and (Co)Sine Integrals!
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From playlist Number Theory
How to derive Euler's formula using differential equations! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook A somewhat new proof for the famous formula of Euler. Here is the famous formula named after the mathematician Euler. It relates the exponential with cosin
From playlist Intro to Complex Numbers
Euler's Formula for the Quaternions
In this video, we will derive Euler's formula using a quaternion power, instead of a complex power, which will allow us to calculate quaternion exponentials such as e^(i+j+k). If you like quaternions, this is a pretty neat formula and a simple generalization of Euler's formula for complex
From playlist Math
Proving Euler's Formula (4 of 4: Evaluating constants)
More resources available at www.misterwootube.com
From playlist Introduction to Complex Numbers
Proving Euler's Formula (2 of 4: Differentiating both sides)
More resources available at www.misterwootube.com
From playlist Introduction to Complex Numbers
B11 The improved Euler Formula
The improved Euler Formula using Python.
From playlist A Second Course in Differential Equations
The Basel Problem Part 1: Euler-Maclaurin Approximation
This is the first video in a two part series explaining how Euler discovered that the sum of the reciprocals of the square numbers is π^2/6, leading him to define the zeta function, and how Riemann discovered the surprising connection between the zeroes of the zeta function and the distrib
From playlist Analytic Number Theory
Mod-01 Lec-33 Predictor-Corrector Formulae
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
James Arthur - Zeta functions and orbital integrals
We shall review the work of Z. Yun on zeta functions of orders, and of A. Altug on elliptic terms in the trace formula for GL(2). We shall then study the problem of Poisson summation for general linear groups. A suitable solution would be an important step in Langlands' proposed reformula
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Ext-analogues of Branching laws – Dipendra Prasad – ICM2018
Lie Theory and Generalizations Invited Lecture 7.5 Ext-analogues of Branching laws Dipendra Prasad Abstract: We consider the Ext-analogues of branching laws for representations of a group to its subgroups in the context of p-adic groups. ICM 2018 – International Congress of Mathematic
From playlist Lie Theory and Generalizations
Dipendra Prasad - Branching laws: homological aspects
By this time in the summer school, the audience will have seen the question about decomposing a representation of a group when restricted to a subgroup which is referred to as the branching law. In this lecture, we focus attention on homological aspects of the branching law. The lecture
From playlist 2022 Summer School on the Langlands program
Convex Integration and Synthetic Turbulence - László Székelyhidi
Clay Research Conference Topic: Convex Integration and Synthetic Turbulence Speaker: László Székelyhidi Affiliation: Distinguished Visiting Professor, School of Mathematics Date: September 30, 2021 In the past decade convex integration has been established as a powerful and versatile
From playlist Mathematics
Mandelbrot fractal zoom // featuring Euler bio
Mandelbrot fractal zoom // featuring Euler bio Come hang out and watch a fractal zoom through the Mandelbrot set. To celebrate Euler's contributions to mathematics, this video features a brief bio. of Leonhard Euler! ---------------------------------------------------------------------
From playlist Misc.
Talk by Rahul Dalal (University of California, Berkeley, USA)
Statistics of Automorphic Representations Through the Stable Trace Formula
From playlist Seminars: Representation Theory and Number Theory
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
Informal Proof of Euler's Formula (2 of 2: Trigonometric calculus)
If you enjoyed this, you can also check out my expanded series of videos that introduces Euler's Formula from "first principles" and concludes with Euler's Identity: https://www.youtube.com/playlist?list=PLHZZ0otaqNsWV01h2ZssT17Tj8fbtLiuM More resources available at www.misterwootube.com
From playlist Introduction to Complex Numbers