Gauss's Divergence Theorem

Gauss's Divergence theorem is one of the most powerful tools in all of mathematical physics. It is the primary building block of how we derive conservation laws from physics and translate them into partial differential equations. @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Introduction & Overview 8:55 Why Gauss's Theorem is True 14:38 Gauss's Theorem for PDEs: Mass Conservation 24:11 Recap

Join Today
The Continuity Equation: A PDE for Mass Conservation, from Gauss's Divergence Theorem
▶︎

The Continuity Equation: A PDE for Mass Conservation, from Gauss's Divergence Theorem

Stokes' Theorem and Green's Theorem
▶︎

Stokes' Theorem and Green's Theorem

Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]
▶︎

Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]

90 - The divergence theorem (Gauss)
▶︎

90 - The divergence theorem (Gauss)

Partial Differential Equations Overview
▶︎

Partial Differential Equations Overview

Lec 28: Divergence theorem | MIT 18.02 Multivariable Calculus, Fall 2007
▶︎

Lec 28: Divergence theorem | MIT 18.02 Multivariable Calculus, Fall 2007

Deriving the Wave Equation
▶︎

Deriving the Wave Equation

How Heisenberg Discovered Quantum Mechanics
▶︎

How Heisenberg Discovered Quantum Mechanics

Are all vector fields the gradient of a potential? ... and the Helmholtz Decomposition
▶︎

Are all vector fields the gradient of a potential? ... and the Helmholtz Decomposition

The Curl of a Vector Field: Measuring Rotation
▶︎

The Curl of a Vector Field: Measuring Rotation

The Divergence Theorem, a visual explanation
▶︎

The Divergence Theorem, a visual explanation

I never intuitively understood Tensors...until now!
▶︎

I never intuitively understood Tensors...until now!

A Simple yet Powerful Math Trick
▶︎

A Simple yet Powerful Math Trick

The Tiny Donut That Proved We Still Don't Understand Magnetism
▶︎

The Tiny Donut That Proved We Still Don't Understand Magnetism

The Gradient Operator in Vector Calculus: Directions of Fastest Change & the Directional Derivative
▶︎

The Gradient Operator in Vector Calculus: Directions of Fastest Change & the Directional Derivative

Best Explanation of Gradient, Divergence and Curl
▶︎

Best Explanation of Gradient, Divergence and Curl

The Divergence of a Vector Field: Sources and Sinks
▶︎

The Divergence of a Vector Field: Sources and Sinks

Gauss Divergence theorem (Solved problem for cube and cone)
▶︎

Gauss Divergence theorem (Solved problem for cube and cone)

Laplace's Equation and Potential Flow
▶︎

Laplace's Equation and Potential Flow