First Chapter

GitBook allows you to organize your book into chapters, each chapter is stored in a separate file like this one.

When $$a \ne 0$$, there are two solutions to $$(ax^2 + bx + c = 0)$$ and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$

Symbols

\forall x \in X, \quad \exists y \leq \epsilon

$$\forall x \in X, \quad \exists y \leq \epsilon$$

Greek letters

\alpha, \Alpha, \beta, \Beta, \gamma, \Gamma, \pi, \Pi, \phi, \varphi, \mu, \Phi

$$\alpha, \beta, \gamma, \Gamma, \pi, \Pi, \phi, \varphi, \mu, \Phi$$

Operators

\cos (2\theta) = \cos^2 \theta - \sin^2 \theta

$$\cos (2\theta) = \cos^2 \theta - \sin^2 \theta$$

Powers and indices

k{n+1} = n^2 + k_n^2 - k{n-1}

$$k{n+1} = n^2 + k_n^2 - k{n-1}$$

n^{22}

$$n^{22}$$

f(n) = n^5 + 4n^2 + 2 |_{n=17}

$$f(n) = n^5 + 4n^2 + 2 |_{n=17}$$

Fractions and Binomials

\frac{n!}{k!(n-k)!} = \binom{n}{k}

$$$\frac{n!}{k!(n-k)!} = \binom{n}{k}$$$

\sum $$\sum$$ \prod $$\prod$$ \coprod $$\coprod$$ \bigoplus $$\bigoplus$$ \bigotimes $$\bigotimes$$ \bigodot $$\bigodot$$ \bigcup $$\bigcup$$ \biguplus $$\biguplus$$ \bigsqcup {\displaystyle \bigsqcup } \bigsqcup \bigvee {\displaystyle \bigvee } \bigvee \bigwedge {\displaystyle \bigwedge } \bigwedge \int {\displaystyle \int } \int \oint {\displaystyle \oint } \oint \iint[3] {\displaystyle \iint } \iint \iiint[3] {\displaystyle \iiint } \iiint \iiiint[3] {\displaystyle \iiiint } \iiiint \idotsint[3] {\displaystyle \int !\cdots !\int } \int !\cdots !\int