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Inline math#

The identity \(e^{i\pi} + 1 = 0\) is often called the most beautiful equation in mathematics. You can also use dollar signs: $a^2 + b^2 = c^2$.

Display math#

The Gaussian integral:

$$\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}$$

A matrix:

$$ \begin{pmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} x\cos\theta - y\sin\theta \\ x\sin\theta + y\cos\theta \end{pmatrix} $$

And a sum that overflows gracefully on small screens:

$$\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s} = \prod_{p \text{ prime}} \frac{1}{1 - p^{-s}}, \quad \operatorname{Re}(s) > 1$$