Jesse Madnick's user avatar
Jesse Madnick's user avatar
Jesse Madnick's user avatar
Jesse Madnick
  • Member for 13 years, 6 months
  • Last seen this week
235 votes

Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?

126 votes
Accepted

When can you switch the order of limits?

69 votes

Exterior Derivative vs. Covariant Derivative vs. Lie Derivative

64 votes
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References for multivariable calculus

59 votes

Theorems with an extraordinary exception or a small number of sporadic exceptions

54 votes

If $f_k \to f$ a.e. and the $L^p$ norms converge, then $f_k \to f$ in $L^p$

47 votes
Accepted

Is there a vector field that is equal to its own curl?

45 votes
Accepted

Tensors: Acting on Vectors vs Multilinear Maps

43 votes
Accepted

Geometric meaning of symmetric connection

42 votes
Accepted

Meaning of derivatives of vector fields

41 votes

What are some examples of a mathematical result being counterintuitive?

41 votes

Why do we restrict the definition of Lebesgue Integrability?

38 votes
Accepted

Is Inner product continuous when one arg is fixed?

38 votes

Is there any easy way to understand the definition of Gaussian Curvature?

31 votes
Accepted

Interesting math-facts that are visually attractive

30 votes
Accepted

When can we not treat differentials as fractions? And when is it perfectly OK?

27 votes

How to study math to really understand it and have a healthy lifestyle with free time?

27 votes

Why is the 2nd derivative written as $\frac{\mathrm d^2y}{\mathrm dx^2}$?

26 votes

'Obvious' theorems that are actually false

26 votes

How do you describe your mathematical research in layman's terms?

25 votes

Is the Nash Embedding Theorem a special case of the Whitney Embedding Theorem?

25 votes

How to study for a test and how to know if you're just not good at math?

22 votes

What math is necessary to learn manifolds?

22 votes

divergence of a vector field on a manifold

21 votes
Accepted

Geometric interpretation of connection forms, torsion forms, curvature forms, etc

21 votes
Accepted

Can you extend vector fields on a manifold?

19 votes

List of Local to Global principles

19 votes
Accepted

Which metric spaces are totally bounded?

19 votes

Teaching myself differential topology and differential geometry

19 votes
Accepted

Why does $L^2$ convergence not imply almost sure convergence

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