Real Analysis/Symbols

We begin with listing various sets of numbers that are important in mathematical analysis.

Sets of numbers

$\mathbb{N}$ or N	The natural numbers
$\mathbb{Z}$ or Z	The integers
$\mathbb{Q}$ or Q	The rational numbers
$ℝ$ or R	The real numbers
$ℂ$ or C	The complex numbers

List of mathematical symbols

$\mathrm{\forall }$	For all
$\mathrm{\exists }$	Exists/There Exists
$\subseteq ,\subset$	Subset, Proper Subset
$\supseteq ,\supset$	Superset, Proper Superset
$\in$	Belongs to
$\setminus$	Set Subtraction
$\cup$	Union
$\cap$	Intersection
$|x|$	Absolute value
$\sup$	Supremum/Least Upper Bound
$\inf$	Infimum/Greatest Lower Bound
$\mathrm{\varnothing },\varphi$	Empty Set
$\wedge$	Logical And

The Greek Alphabet

$\mathrm{A},\alpha$	Alpha
$\mathrm{B},\beta$	Beta
$\mathrm{\Gamma },\gamma$	Gamma
$\mathrm{\Delta },\delta$	Delta
$\mathrm{E},ϵ$	Epsilon
$\mathrm{Z},\zeta$	Zeta
$\mathrm{H},\eta$	Eta
$\mathrm{\Theta },\theta$	Theta
$\mathrm{I},\iota$	Iota
$\mathrm{K},\kappa$	Kappa
$\mathrm{\Lambda },\lambda$	Lambda
$\mathrm{M},\mu$	Mu
$\mathrm{N},\nu$	Nu
$\mathrm{\Xi },\xi$	Xi
$O,o$	Omicron
$\mathrm{\Pi },\pi$	Pi
$\mathrm{P},\rho$	Rho
$\mathrm{\Sigma },\sigma$	Sigma
$\mathrm{T},\tau$	Tau
$\mathrm{{\rm Y}},\upsilon$	Upsilon
$\mathrm{\Phi },\varphi$	Phi
$\mathrm{X},\chi$	Chi
$\mathrm{\Psi },\psi$	Psi
$\mathrm{\Omega },\omega$	Omega