Hamiltonian mechanics | Symplectic geometry | Differential topology
In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time. Canonical coordinates are used in the Hamiltonian formulation of classical mechanics. A closely related concept also appears in quantum mechanics; see the Stone–von Neumann theorem and canonical commutation relations for details. As Hamiltonian mechanics are generalized by symplectic geometry and canonical transformations are generalized by contact transformations, so the 19th century definition of canonical coordinates in classical mechanics may be generalized to a more abstract 20th century definition of coordinates on the cotangent bundle of a manifold (the mathematical notion of phase space). (Wikipedia).
PreCalculus - Polar Coordinates (1 of 35) Definition
Visit http://ilectureonline.com for more math and science lectures! In this video I will define polar coordinates and compares it to rectangular coordinates. Next video in the polar coordinates series can be seen at: http://youtu.be/ii31Gy4quqo
From playlist Michel van Biezen: PRECALCULUS 10 - POLAR COORDINATES
Introduction to Cylindrical Coordinates
Introduction to Cylindrical Coordinates Definition of a cylindrical coordinate and all of the formulas used to convert from cylindrical to rectangular and from rectangular to cylindrical. Examples are also given.
From playlist Calculus 3
Introduction to Cylindrical Coordinates
This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane
From playlist THE "WHAT IS" PLAYLIST
Animation: Comparing Polar and Rectangular Coordinates
This animation compares points plotted using polar and rectangular coordinates. http://mathispower4u.wordpress.com/
From playlist Polar Equations
Introduction to Polar Coordinates
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From playlist Precalculus
Introduction to Polar Coordinates
This video introduces polar coordinates http://mathispower4u.wordpress.com/
From playlist Polar Coordinates and Equations
Math 023 Fall 2022 120522 Polar Coordinates
Definition of polar coordinates. Examples: what points are these? Going from polar to Cartesian coordinates; going from Cartesian to polar coordinates. Distance formula (using the Law of Cosines!). Application: equations of circles. Examples: going from equations in polar coordinates
From playlist Course 1: Precalculus (Fall 2022)
Jacob Linder: 11.04.2012, 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
12: Hamiltonian formalism - Part 2
Jacob Linder: 26.01.2012, 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
46: Canonical transformations part 4
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
Lecture 9 | Modern Physics: Classical Mechanics (Stanford)
Lecture 9 of Leonard Susskind's Modern Physics course concentrating on Classical Mechanics. Recorded December 20, 2007 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of mo
From playlist Course | Modern Physics: Classical Mechanics
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
Ex: Identifying the Coordinates of Points on the Coordinate Plane
This video explains how to determine the coordinates of points on the coordinate plane. Complete Video List at http://www.mathispower4u.com Search by Topic at http://www.mathispower4u.wordpress.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
49: April Hamilton Jacobi theory - Part 1
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
Let's Learn Physics: A Surprise to Be Sure, but a Welcome One
In this stream, we will look at how to incorporate more general "canonical transformations" into our Hamiltonian framework. Along the way, we will see some very deep relations between transformations, symmetries, and conservation, as well as some other interesting relations between paramet
From playlist Let's Learn (Classical) Physics: ZAP Physics Livestreams
Alexander Soibelman - Quantizations of Complex Lagrangian Fibrations, Normal Forms, and Spectra
Under certain conditions, it is possible to compute the spectrum of a polynomial differential operator via its Birkhoff normal form. In this talk, I will explain a geometric approach for obtaining the Birkhoff normal form of a quantized Hamiltonian using the variation of Hodge structure fo
From playlist Workshop on Quantum Geometry
44: EM field tensor and canonical transformations - Part 2
Jacob Linder: 28.03.2012, 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
Elliptic Curves - Lecture 24b - The canonical height
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Introduction to Spherical Coordinates
This video defines spherical coordinates and explains how to convert between spherical and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates