Math Symbols in Latex

The pen is mightier than the sword.

Here is a small list of mathematical symbols that you may use in papers that you publish. To the bottom left of this page is a small navigation menu, that will allow you to quickly go from section to section to search for the symbol that you need. I tried to organize the sections based on the subjects that they may be used in and use words that mathematicians use. So, the names of each of the symbols presented are not the actual names. I hope it helps you type some great papers! ^_^

Remember to include the amssymb and amsmath packages by including the line

\usepackage{amssymb,amsmath}

under your document class.

Also, this list is by no means a complete list of every symbol that you may want to use.

Greek Letters

Name	Symbol	Latex Command	Name	Symbol	Latex Command
Alpha	α	\alpha	Nu	ν	\nu
Beta	β	\beta	Xi	ξ	\xi
Gamma	γ	\gamma	Omicron	ο	no representation (use o)
Delta	δ	\delta	Pi	π	\pi
Epsilon	ε	\epsilon	Rho	ρ	\rho
Zeta	ζ	\zeta	Sigma	σ	\sigma
Eta	η	\eta	Tau	τ	\tau
Theta	θ	\theta	Upsilon	υ	\upsilon
Iota	ι	\iota	Phi	φ	\phi
Kappa	κ	\kappa	Chi	χ	\chi
Lambda	λ	\lambda	Psi	ψ	\psi
Mu	μ	\mu	Omega	ω	\omega

Set Theory

Name	Symbol	Latex Command	Name	Symbol	Latex Command
Empty Set	∅	\emptyset	Exists	∃	\exists
For All	∀	\forall	Does Not Exist	∄	\nexists
Intersection	∩	\cap	Union	∪	\cup
Approximately Equals	≅	\cong	Modular Equivalence	≡	\equiv
Not Approximately Equal to	≇	\ncong	Left Arrow	←	\leftarrow
Suggests	⇐	\Leftarrow	Double Arrow	↔	\leftrightarrow
Equals Double Arrow	⇔	\Leftrightarrow	Two Arrows Left and Right	⇆	\leftrightarrows
Maps to	↦	\maptsto	Element of	∈	\in
Belonged to	∋	\ni	Subset	⊂	\subset
Subset Inclusive	⊆	\subseteq	A subset of	⊃	\subset
An inclusive subset of	⊇	\supseteq	Not a subset of	⊈	\nsubseteq
Not an inclusive subset of	⊉	\nsupseteq	Proportional to	∝	\propto
Therefore	∴	\therefore	Multiple Intersections	⋂	\bigcap
Multiple Unions	⋃	\bigcup	Cross Product of Sets	×	\times

Analysis

Name	Symbol	Latex Command	Name	Symbol	Latex Command
Accent	‵	\backprime	Infinity	∞	\infty
Gradient	∇	\nabla	Prime (derivative)	′	\prime
Dot Product	•	\bullet	Multiplication	·	\centerdot
Out of the page	⊙	\odot	Into the page	⊗	\otimes
Direct Product	⊕	\oplus	Approximately	≈	\approx
Approximately Equals	≊	\approxeq	Similar	∽ or ∼	\backsim or \sim
Greater than or equals	≥	\geq	Greater than	>	\gtr
Less than or equals to	≤	\le	Less than	<	\less
Much Greater	≫	\gg	Much Much Greater	⋙	\ggg
Much Lesser	≪	\ll	Much Much Lesser	⋘	\lll
Not equal to	≠	\neq	Not Greater than or equal to	≱	\ngeq
Not Less than or equal to	≰	\nleq	Not less than	≮	\nless
Not greater than	≯	\ngtr	Counterclockwise Rotation	↺	\circlearrowleft
Clockwise Rotation	↻	\circlearrowright	Integral	∫	\int
Contour Integral	∮	\oint	Product	∏	\prod
Sumation	∑	\sum	Prime		\dot{x}
Vector Arrow over variable		\vec{x}	Double Prime		\ddot{x}
Square Root of x		\sqrt{x}	Binomial		\binom{n}{k}

Geometry

Name	Symbol	Latex Command	Name	Symbol	Latex Command
Angle	∠	\angle	Perpendicular	⊥	\perp
Measured Angle	∡	\measuredangle	Triangle	▵	\triangle
Circle	○	\circ	Parallel	∥	\parallel
Not Parallel	∦	\nparallel	Line from A to B		\overline{AB}

Miscellaneous

Name	Symbol	Latex Command	Name	Symbol	Latex Command
Dagger	†	\dagger	Double Dagger	‡	\ddagger
Division	÷	\div	Divide on Times	⋇	\divideontimes
Intercal	⊺	\intercal	Ltimes	⋉	\ltimes
Minus over plus	∓	\mp	Square Cap	⊓	\sqcap
Square Cup	⊔	\sqcup	Left Triangle	◃	\triangleleft
Right Triangle	▹	\triangleright	Plus or minus	±	\pm
Star	☆	\star	Three Dots	⋯	\cdots
Carat	∧	\wedge	Left Brace	{	\lbrace
Right Brace	}	\rbrace	Absolute Value Left	|	\lvert
Absolute Value Right	|	\rvert	Vector Close Left	⟨	\langle
Vector Close Right	⟩	\rangle	Ceiling Left	⌈	\lceil
Ceiling Right	⌉	\rceil	Floor Left	⌊	\lfloor
Floor Right	⌋	\rfloor	Fraction		\frac{x}{y}
Set of Natural Number		\mathbb {N}	Set of Whole Numbers		\mathbb {W}
Set of Integers		\mathbb {Z}	Set of Real Numbers		\mathbb {R}
Set of Prime Numbers		\mathbb {P}	Set of Rational Numbers		\mathbb {Q}
Set of Irrational Numbers		\mathbb {I}	Set of Complex Numbers		\mathbb {C}
Script Letters		\scr{C}