Contents
Divergence and Gradient Theorems
by Kilian Cooley
INTRODUCTION
Contents - Divergence and Gradient in 1D: The Fundamental Theorem of Calculus - Divergence Theorem in 2D - Conservation of Mass for Moving Fluids - Gradient Theorem in 2D - Proof of Archimedes' Principle - A Warning About Coordinate Systems - References
Divergence and Gradient in 1D: The Fundamental Theorem of Calculus
Divergence Theorem in 2D
Conservation of Mass for Moving Fluids
Gradient Theorem in 2D
Proof of Archimedes' Principle
A Warning About Coordinate Systems
References
$ \int_0^1\int_0^4\int_{-1}^7\nabla\phi {dV} = \frac{\partial u}{\partial x}\hat{e}_x $
$ \int\int\int_{\partial \Omega} {\mathbb R} $
