Hamilton's principle

A09 The Hamiltonian

Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.

From playlist Physics ONE

Derivation of Hamilton's Equations of Motion | Classical Mechanics

Hamilton’s equations of motion describe how a physical system will evolve over time if you know about the Hamiltonian of this system. 00:00 Introduction 00:12 Prerequisites 01:01 Derivation 01:47 Comparing Coefficients 02:27 Example If you want to read more about the Lagrangian form

From playlist Classical Mechanics

Cayley-Hamilton Theorem: General Case

Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.

From playlist Matrix Theory

Properties of the Lagrangian | Classical Mechanics

In classical mechanics, the most general formulation of how a system will move and behave over time, is given by the principle of least action, or Hamilton's principle. It says that every mechanical system is defined by a function L, which depends on the generalized coordinates, generalize

From playlist Particle Physics

Hamiltonian Mechanics in 10 Minutes

In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.

From playlist Summer of Math Exposition 2 videos

Graph Theory: 27. Hamiltonian Graphs and Problem Set

I define a Hamilton path and a Hamilton cycle in a graph and discuss some of their basic properties. Then I pose three questions for the interested viewer. Solutions are in the next video. An introduction to Graph Theory by Dr. Sarada Herke. Related Videos: http://youtu.be/3xeYcRYccro -

From playlist Graph Theory part-5

Physics - E&M: Maxwell's Equations (1 of 30) What are the Maxwell equations? Introduction

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduction to Maxwell's equations.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

A05 The equations of motion

First example of using a symmetry principle show a conserved quantity. I show that the conservation of linear momentum comes from a radial symmetry in forces.

From playlist Physics ONE

06: Hamilton´s principles - Part 2

Jacob Linder: 18.01.2012, Classical Mechanics (TFY4345), v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook

From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics

François Gay-Balmaz : A Langrgian Variational Formulation of Nonequilibrium thermodynamics

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Geometry

Did "Hamilton" get it right?

Stanford historian Jack Rakove provides a brief survey of the "big six" founding fathers, the strange relationship between Alexander Hamilton and Aaron Burr, and the election that turned out to be the first serious test of the durability of our constitutional system. Rakove is the William

From playlist Stanford Highlights

Symmetries & Conservation Laws: A (Physics) Love Story

There is a deep connection in physics between symmetries of nature and conservation laws, called Noether's theorem. In this physics lesson I'll show you how it works. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up The relationship between symmetries and c

From playlist Hamiltonian Mechanics Sequence

Finding Hamilton circuits

This video is for my Spring 2020 section of MA 15, for the class meeting on Friday April 17.

From playlist Math 15 Spring 2020

Graph Theory: 57. Planar Graphs

A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv

From playlist Graph Theory part-10

Daniel Sutton: An effective description of Hamiltonian dynamics via the Maupertuis principle

Daniel Sutton: An effective description of Hamiltonian dynamics via the Maupertuis principle We study effective descriptions for the motion of a particle moving in a bounded periodic potential, as governed by Newton's second law. In particular we seek an effective equation, describing the

From playlist HIM Lectures 2015

50: April Hamilton Jacobi theory - Part 2

Jacob Linder: 12.04.2012, Classical Mechanics (TFY4345), v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook

From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics

45: Canonical transformations part 3

Jacob Linder: 29.03.2012, Classical Mechanics (TFY4345) v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook

From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics

07: Lagrange multiplier method - Part 1

Jacob Linder: 19.01.2012, Classical Mechanics (TFY4345), v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook

From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics

Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations. To donate: http://www.ilectureonline.com/donate

From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS

Somil Bansal: "Scaling Hamilton-Jacobi Reachability Analysis for Robotics"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Scaling Hamilton-Jacobi Reachability Analysis for Robotics: Multi-agent Systems to Real-time Computation" Somil Bansal - University of California, Berkeley A

From playlist High Dimensional Hamilton-Jacobi PDEs 2020