User Jesse Madnick - Mathematics Stack Exchange

236 votes

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

answered Feb 10, 2011 at 9:25

130 votes

Accepted

When can you switch the order of limits?

answered Dec 23, 2010 at 4:57

70 votes

Exterior Derivative vs. Covariant Derivative vs. Lie Derivative

answered Dec 24, 2012 at 6:06

65 votes

Accepted

References for multivariable calculus

answered Jun 5, 2011 at 17:48

59 votes

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

answered Aug 24, 2012 at 1:32

54 votes

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

answered May 15, 2011 at 20:53

47 votes

Accepted

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

answered Jan 4, 2015 at 6:07

45 votes

Accepted

Tensors: Acting on Vectors vs Multilinear Maps

answered Jun 30, 2012 at 21:47

45 votes

Accepted

Meaning of derivatives of vector fields

answered Sep 13, 2012 at 3:40

43 votes

Accepted

Geometric meaning of symmetric connection

answered May 22, 2014 at 6:14

42 votes

Why do we restrict the definition of Lebesgue Integrability?

answered Mar 18, 2011 at 13:13

41 votes

What are some examples of a mathematical result being counterintuitive?

answered May 4, 2012 at 7:46

38 votes

Accepted

Is Inner product continuous when one arg is fixed?

answered Sep 13, 2010 at 4:50

38 votes

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

answered Oct 6, 2011 at 6:31

34 votes

Accepted

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

answered May 14, 2016 at 7:43

31 votes

Accepted

Interesting math-facts that are visually attractive

answered Sep 11, 2013 at 9:34

28 votes

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

answered Mar 5, 2011 at 3:47

27 votes

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

answered Jun 11, 2011 at 6:50

26 votes

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

answered Nov 13, 2012 at 8:41

26 votes

'Obvious' theorems that are actually false

answered Jun 5, 2014 at 4:53

26 votes

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

answered Feb 21, 2014 at 6:14

25 votes

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

answered Feb 13, 2014 at 11:34

23 votes

divergence of a vector field on a manifold

answered Apr 27, 2012 at 9:07

22 votes

What math is necessary to learn manifolds?

answered Jan 5, 2012 at 3:25

22 votes

Accepted

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

answered Dec 14, 2012 at 13:53

22 votes

Accepted

Can you extend vector fields on a manifold?

answered Jun 29, 2011 at 1:00

21 votes

Teaching myself differential topology and differential geometry

answered Dec 9, 2010 at 6:03

20 votes

Accepted

Which metric spaces are totally bounded?

answered Oct 19, 2010 at 21:35

20 votes

Accepted

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

answered Jul 5, 2012 at 21:10

19 votes

List of Local to Global principles

answered Apr 20, 2011 at 12:11

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243 Answers

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

When can you switch the order of limits?

Exterior Derivative vs. Covariant Derivative vs. Lie Derivative

References for multivariable calculus

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

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

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

Tensors: Acting on Vectors vs Multilinear Maps

Meaning of derivatives of vector fields

Geometric meaning of symmetric connection

Why do we restrict the definition of Lebesgue Integrability?

What are some examples of a mathematical result being counterintuitive?

Is Inner product continuous when one arg is fixed?

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

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

Interesting math-facts that are visually attractive

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

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

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

'Obvious' theorems that are actually false

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

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

divergence of a vector field on a manifold

What math is necessary to learn manifolds?

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

Can you extend vector fields on a manifold?

Teaching myself differential topology and differential geometry

Which metric spaces are totally bounded?

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

List of Local to Global principles