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
An Euler Experience - A dope Integral :v [ ln(x)/(x^2+1) from 0 to infinity ]
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From playlist Integrals
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
Solves the Euler differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector Calculus for Engineers: htt
From playlist Differential Equations
''Euler's Formula'' for the Exponential and (Co)Sine Integrals!
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From playlist Number Theory
The Beta Function: Deriving its TRIGONOMETRIC EQUIVALENT!
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From playlist Integrals
What is an integral and it's parts
👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower li
From playlist The Integral
ONE NEAT PROOF! Deriving the EULER DEFINITION of the Gamma Function!
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From playlist Integrals
Euler's Differential Equation Introduction
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From playlist Differential Equations
Robert Ghrist, Lecture 2: Topology Applied II
27th Workshop in Geometric Topology, Colorado College, June 11, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
ME564 Lecture 17: Numerical solutions to ODEs (Forward and Backward Euler)
ME564 Lecture 17 Engineering Mathematics at the University of Washington Numerical solutions to ODEs (Forward and Backward Euler) Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L17.pdf Matlab code: * http://faculty.washington.edu/sbrunton/me564/matlab/L17_pend.m * http:
From playlist Engineering Mathematics (UW ME564 and ME565)
Runge-Kutta Integrator Overview: All Purpose Numerical Integration of Differential Equations
In this video, I introduce one of the most powerful families of numerical integrators: the Runge-Kutta schemes. These provide very accurate and efficient "all-purpose" numerical integrators for ordinary differential equations. Specifically, we introduce the 2nd-order and 4th-order accura
From playlist Engineering Math: Differential Equations and Dynamical Systems
Lecture: Ordinary Differential Equations and Time-stepping
Using the definition of derivative and Taylor series, numerical time-stepping schemes are produced for predicting the future state of ODE systems.
From playlist Beginning Scientific Computing
Lecture: Error and Stability of Time-stepping Schemes
The accuracy and stability of time-stepping schemes are considered and compared on various time-stepping algorithms.
From playlist Beginning Scientific Computing
Numerical Integration of ODEs with Forward Euler and Backward Euler in Python and Matlab
In this video, we code up the Forward Euler and Backward Euler integration schemes in Python and Matlab, investigating stability and error as a function of the time step. We test these integrators on the simple spring-mass-damper system, where we have an analytic solution to compare again
From playlist Engineering Math: Differential Equations and Dynamical Systems
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
Geometric Methods for Orbit Integration - Scott Tremaine
Geometric Methods for Orbit Integration Scott Tremaine Institute for Advanced Study July 14, 2009
From playlist PiTP 2009
Lecture: General Time-stepping and Runge-Kutta Schemes
A general framework for time-stepping schemes is developed, culminating in the 4th-order accurate Runge-Kutta scheme which is the work-horse of many applications.
From playlist Beginning Scientific Computing
Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations
In this video, we explore the stability of the Forward Euler and Backward/Implicit Euler integration schemes. In particular, we investigate the eigenvalues of these discrete-time update equations, relating the eigenvalues to the stability of the algorithm. This basic stability analysis t
From playlist Engineering Math: Differential Equations and Dynamical Systems
Differential Equations | Euler Equations Example 2
We solve a second order differential equation known as an Euler equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations