Differential calculus | Metric geometry
In mathematics, the metric derivative is a notion of derivative appropriate to parametrized paths in metric spaces. It generalizes the notion of "speed" or "absolute velocity" to spaces which have a notion of distance (i.e. metric spaces) but not direction (such as vector spaces). (Wikipedia).
Derivatives are the main object of study in differential calculus. They describe rates of change of functions. That makes them incredibly useful in all of science, as many models can be expressed by describing the changes over time (e.g. of physical quantities). However, the abstract defin
From playlist Summer of Math Exposition Youtube Videos
Calculus 1: What is a Derivative? (1 of 9) Basic Definitions
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce the basic definitions of what is a derivative. Next video in the series can be seen at: http://youtu.be/29Px0qXE1BU
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Definition of derivative in terms of a limit, (def 1)
Definition of derivative, calculus 1 homework solution. #calculus Check out my 100 derivatives: https://youtu.be/AegzQ_dip8k
From playlist Sect 2.7, Definition of Derivative
What is a derivative? Learn what a derivative is, how to find the derivative using the difference quotient, and how to use the derivative to find the equation of the tangent line. This is a free math video tutorial by Mario's Math Tutoring. 0:11 What is a Derivative 1:22 Finding the Slop
From playlist Difference Quotient & Derivatives
Calculus - What is a Derivative? (1 of 8) Overview
Visit http://ilectureonline.com for more math and science lectures! In this video I will give a general overview and the definition of “What is a derivative?”
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Ex 1: Determine a Derivative using The Limit Definition
This video determine the derivative of a polynomial function using the limit definition. It also determines the slope of a tangent line at a given value of x. Complete Video List at http://www.mathispower4u.com
From playlist Introduction and Formal Definition of the Derivative
In this video, we are going to visualize the concept of FRACTIONAL DERIVATIVE in a new geometric way.
From playlist Summer of Math Exposition Youtube Videos
Calculus - What is a Derivative? (8 of 8) All the Different Notations of Derivatives
Visit http://ilectureonline.com for more math and science lectures! In this video I will describe and explain all the different notations of a derivative.
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Calculus - What is a Derivative? (7 of 8) A Function Describing a Change (In a Function)
Visit http://ilectureonline.com for more math and science lectures! In this video I will describe the physical meaning of a derivative.
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
What is General Relativity? Lesson 21: Geodesic Equation Part 4: Null and Conformal Geodesics
This video is about What is General Relativity? Lesson 21: Null and Conformal Geodesics In this lecture we clean up a few topics: 1) The Lagrangian for null geodesics and, 2) The relationship between geodesics of conformally related metrics. Check out the forums at http://xylyxylyx.freef
From playlist What is General Relativity?
Helvi Witek - Tutorial: 3+1 decomposition with xTensor - IPAM at UCLA
Recorded 20 September 2021. Helvi Witek of the University of Illinois presents "Tutorial: 3+1 decomposition with xTensor" at IPAM's Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy Tutorial. Abstract: The open-source xAct suite is a powerful tool for ten
From playlist Tutorials: Math & Computational Challenges in the Era of Gravitational Wave Astronomy
What is General Relativity? Lesson 5: The Catalogue of Spacetimes
What is General Relativity? Lesson 5: The Catalogue of Spacetimes - Minkowski Spacetime I invite you to download the Catalog of Spacetimes at : https://arxiv.org/abs/0904.4184 to use as a reference for the rest of the course.
From playlist What is General Relativity?
xAct: Efficient Tensor Computer Algebra: Live with the R&D team
Presentation begins at 1:43 In this stream, we have xAct: Efficient Tensor Computer Algebra with Wolfram R&D. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.facebook.com/wolframresearch/ Instagram: https://www.instagra
From playlist Live with the R&D Team
Thomas Baumgarte (2) - Numerical relativity: Mathematical formulation
PROGRAM: NUMERICAL RELATIVITY DATES: Monday 10 Jun, 2013 - Friday 05 Jul, 2013 VENUE: ICTS-TIFR, IISc Campus, Bangalore DETAL Numerical relativity deals with solving Einstein's field equations using supercomputers. Numerical relativity is an essential tool for the accurate modeling of a wi
From playlist Numerical Relativity
Gravitational radiation from post-Newtonian sources.... by Luc Blanchet (Lecture - 1)
PROGRAM SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer DATE : 15 July 2019 to 26 July 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy.
From playlist Summer School on Gravitational Wave Astronomy -2019
Relating Metric Tensor to Gravity | Tensor Calculus Ep. 16
Today I show how in the Newtonian limit, we're able to relate the metric tensor to the gravitational potential. We do this by imposing a static weak field metric, and see how this affects the geodesic equation. This will be one of many useful pieces of information we can use to argue what
From playlist New To Tensors? Start Here
What is General Relativity? Lesson 48: Ricci tensor and conformal transformations
What is General Relativity? Lesson 48: Ricci tensor and conformal transformations We introduce the Ricci tensor, curvature scalar, and begin the difficult derivation of the Weyl tensor. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussin
From playlist What is General Relativity?
The Einstein Field Equations | Tensor Calc Finale
Today we use all the tools we've got in our back pocket to "derive" the Einstein Field Equations of general relativity. It's more of a motivation than a derivation, I suppose. This series is based off the book "Tensor Calculus for Physics" by Dwight Neuenschwander: https://amzn.to/3rEema3
From playlist New To Tensors? Start Here
(December 3, 2012) Leonard Susskind demonstrates that Einstein's field equations become wave equations in the approximation of weak gravitational fields. The solutions for these equations create the theory of gravity waves. This series is the fourth installment of a six-quarter series tha
From playlist Lecture Collection | General Relativity
Calculus 2.8 The Derivative as a Function
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus