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Dilaton
  • Member for 10 years
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490 votes
10 answers
64k views

Best Sets of Lecture Notes and Articles

225 votes
26 answers
64k views

Good books and lecture notes about category theory.

213 votes
5 answers
21k views

What do modern-day analysts actually do?

64 votes
5 answers
12k views

What's the intuition with partitions of unity?

  • 24.4k
55 votes
5 answers
7k views

Can every group be represented by a group of matrices?

37 votes
3 answers
39k views

How to cite preprints from arXiv?

  • 7,260
36 votes
5 answers
11k views

Is the Dirac Delta "Function" really a function?

  • 621
34 votes
3 answers
5k views

Lie algebra of a quotient of Lie groups

24 votes
1 answer
2k views

Local triviality of principal bundles

23 votes
2 answers
3k views

Equivalence of Definitions of Principal $G$-bundle

22 votes
2 answers
2k views

Is there any distinction between these products: scalar, dot, inner?

  • 331
21 votes
3 answers
1k views

How to switch to a Laurent series' next convergence ring?

20 votes
3 answers
19k views

What is a diffeomorphism?

20 votes
1 answer
1k views

An outrageous way to derive a Laurent series: why does this work?

  • 620
19 votes
7 answers
15k views

Proving $\sum\limits_{k=0}^{n}\cos(kx)=\frac{1}{2}+\frac{\sin(\frac{2n+1}{2}x)}{2\sin(x/2)}$

  • 22.1k
17 votes
1 answer
4k views

How to show that the spherical metric satisfies the triangle inequality?

16 votes
2 answers
1k views

Existence and uniqueness of Stokes flow

  • 2,540
16 votes
1 answer
2k views

Why are geodesically convex sets diffeomorphic to $\Bbb R^n$?

  • 3,236
16 votes
1 answer
1k views

Convexity of difference of log-sum-exp: $f(x_1, x_2, x_3, x_4) = \log(e^{x_1} + e^{x_2}) - \log(e^{x_1} + e^{x_2} + e^{x_3} + e^{x_4})$

  • 376
16 votes
4 answers
8k views

Dirac delta function of non-linear multivariable arguments

  • 161
15 votes
3 answers
3k views

Rigorous derivation/explanation of delta function representation?

  • 2,109
15 votes
1 answer
717 views

Lie algebra $\implies$ Lie group?

  • 5,881
15 votes
2 answers
4k views

Complex and Kähler-manifolds

  • 924
14 votes
1 answer
2k views

Motivation of Feynman-Kac formula and its relation to Kolmogorov backward/forward equations?

  • 44k
12 votes
3 answers
4k views

Translations in two dimensions - Group theory

  • 875
12 votes
5 answers
2k views

Integral representation for $\log$ of operator

  • 2,244
11 votes
2 answers
9k views

Concrete example of the Lie derivative of a one-form

  • 1,216
10 votes
3 answers
1k views

What is the gentlest notes/book of intro differential topology? [closed]

  • 3,224
10 votes
2 answers
605 views

Equivalence of Two Lorentz Groups $O(3,1)$ and $O(1,3)$

  • 721
10 votes
3 answers
565 views

What's a cohomology that's not defined from a cochain complex?

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