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littleO
  • Member for 13 years, 7 months
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177 votes

Please explain the intuition behind the dual problem in optimization.

133 votes

How would you discover Stokes's theorem?

91 votes

What are some examples of mathematics that had unintended useful applications much later?

80 votes
Accepted

Why does the fundamental theorem of calculus work?

58 votes

What is the Jacobian matrix?

57 votes

Why is $A^TA$ invertible if $A$ has independent columns?

52 votes
Accepted

Intuitive proof of multivariable changing of variables formula (Jacobian) without using mapping and/or measure theory?

52 votes
Accepted

Transpose of block matrix

52 votes

Why do we use trig functions in Fourier transforms, and not other periodic functions?

42 votes

How to prove Lagrange multiplier theorem in a rigorous but intuitive way?

40 votes

What is integration by parts, really?

39 votes

What are some mathematical topics that involve adding and multiplying pictures?

36 votes
Accepted

Does it make sense to learn mathematical concepts as you encounter them rather than in a fixed progression?

33 votes

When has one sufficiently mastered an area of mathematics?

32 votes
Accepted

Intuition behind chain rule

31 votes
Accepted

How to physically interpret conjugate functions?

28 votes

Is there a mathematical notation of indexing a matrix?

27 votes

Intuition behind logarithm change of base

26 votes

Better Proofs Than Rudin's For The Inverse And Implicit Function Theorems

25 votes
Accepted

Why does the Cholesky decomposition requires a positive definite matrix?

24 votes

How does Cramer's rule work?

23 votes

Is basis change ever useful in practical linear algebra?

23 votes

Why must the gradient vector always be directed in an increasing direction?

23 votes

Why is this allowed? ("Fourier's Trick"; finding the coefficients in a Fourier Series)

22 votes
Accepted

How to expand equation inside the L2-norm?

22 votes

What are some interpretations of Von Neumann's quote?

21 votes
Accepted

Proof of L'Hôpital's rule

21 votes
Accepted

Is there a mathematical notation for restricting the depth of a factorial?

20 votes
Accepted

Why do we need to define Lebesgue spaces using equivalence classes?

20 votes

Mathematics - The big picture

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