New posts in vector-analysis

Proof of Clairaut’s theorem in Terence Tao Analysis 2

real-analysis integration multivariable-calculus vector-analysis

Why does $\nabla$ behave like a member of $\mathbb{R}^3$ (Euclidean vector in 3d space) in many cases?

multivariable-calculus vector-analysis

Rotating vector functions

vector-analysis rotations

What's the geometrical interpretation of the magnitude of gradient generally?

calculus vector-analysis

Averaged dot product

vectors vector-analysis average spherical-coordinates

In deriving the catenary equation, how does integrating $\frac{dy'}{\sqrt{1+(y')^2}}=\frac1a dx$ yield $\sinh^{-1}(y')=\frac{x}{a}$?

calculus trigonometry vector-analysis hyperbolic-functions

CS231N Backpropagation gradient

matrices vector-analysis neural-networks

Lie bracket of exact differential one-forms

differential-geometry differential-topology vector-analysis

Gauss's divergence theorem for a scalar field

multivariable-calculus vector-analysis divergence-operator scalar-fields

The "inverse" of $\nabla\times$ operator

vectors vector-analysis potential-theory

K. Janich, Vector Analysis, Chapter 3 Test

manifolds vector-analysis differential-forms

Intuition on the direction of steepest ascent always being orthogonal to the level set of the function

geometry multivariable-calculus soft-question vector-analysis intuition

Prove $\dfrac{d}{dt} \bigg|_{t=0}\varphi^Y_{-\sqrt{t}} \circ \varphi^X_{-\sqrt{t}} \circ \varphi^Y_{\sqrt{t}} \circ \varphi^X_{\sqrt{t}}=[X,Y](p)$ [duplicate]

differential-geometry vector-analysis lie-algebras

How is "area" a vector?

vector-analysis

Jacobian of (f,g) is identically zero if and only if f = h ∘ g?

derivatives vector-analysis jacobian

Divergence of $\vec{f} = \frac{1}{r^2} \hat{r}$ [duplicate]

calculus vector-analysis

What is the difference between Green's Theorem and Stokes Theorem?

calculus multivariable-calculus vector-analysis

Divergence of curl is zero (coordinate free approach)

multivariable-calculus vector-analysis stokes-theorem divergence-theorem

Why is Green's theorem asymmetric in $x$ and $y$?

calculus multivariable-calculus vector-analysis greens-theorem

Chain rule for Hessian matrix

real-analysis analysis multivariable-calculus vector-analysis