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Best Sets of Lecture Notes and Articles

Good books and lecture notes about category theory.

What do modern-day analysts actually do?

What's the intuition with partitions of unity?

Can every group be represented by a group of matrices?

How to cite preprints from arXiv?

Is the Dirac Delta “Function” really a function?

Lie algebra of a quotient of Lie groups

Local triviality of principal bundles

Equivalence of Definitions of Principal $G$-bundle

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

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

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

What is a diffeomorphism?

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

Dirac delta function of non-linear multivariable arguments

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

Existence and uniqueness of Stokes flow

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

Rigorous derivation/explanation of delta function representation?

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

Lie algebra $\implies$ Lie group?

Complex and Kähler-manifolds

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

Translations in two dimensions - Group theory

Integral representation for $\log$ of operator

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

Is this a correct Monte-Carlo expression for $\pi$?

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

How to prove this formula for Lie derivative for differential forms