Algebra Symbols

A comprehensive collection of 225+ symbols used in algebra, categorized by subject and type into tables along with each symbol's name, usage and example.

Algebra is a subfield of mathematics pertaining to the manipulation of symbols and their governing rules. The following is a compilation of symbols from the different branches of algebra, which include basic algebra, number theory, linear algebra and abstract algebra.

For readability purpose, these symbols are categorized by their function and topic into charts and tables. Other comprehensive lists of symbols — as categorized by subject and type — can be also found in the relevant pages below (or in the navigational panel).

Get the master summary of mathematical symbols in eBook form — along with each symbol’s usage and LaTeX code.

Constants

In algebra, constants are symbols used to denote key mathematical elements and sets. The following tables document the most common of these — along with each symbol’s name, usage and example.

(For common constants in general, see common math constants.)

Key Mathematical Sets

In algebra, certain sets of numbers (or other more elaborated objects) tend to occur more frequently than others. These sets are often denoted by some variants of alphabetical letters — many of which are of the blackboard bold typeface.

Variables

Since algebra is concerned with the manipulation of mathematical symbols, it often draws upon a wide range of variables as placeholders for varying objects and quantities. The following table documents the most common of these — along with their respective usage and example.

Delimiters

In mathematics, delimiters are symbols used to denote the separation between independent mathematical entities. The following table features some of the most common delimiters in algebra. For common delimiters in general, see common delimiters.

Function-related Symbols

As a foundational component of algebra, function plays a key role in establishing the rules pertaining to the manipulation of symbols. The following table documents some of the most common function-related operators and notational symbols — along with their meaning and example.

Operators

In algebra, operators can be thought of as a special type of function mapping one or multiple mathematical entities to another, and are often given special names or notations due to their repeated occurrences.

In particular, these operators are often related to numbers, key functions, linear algebra and abstract algebra — the vast majority of which are found in the tables below. For common operators in general, see common operators.

Relational Symbols

In algebra, relational symbols are used to express the relationship between two mathematical entities, and are often related to concepts such as equality, comparison, divisibility and other higher-order relationships. The following tables document the most common of these — along with their usage and meaning.

Relational Symbols in Abstract Algebra

For the master list of symbols, see mathematical symbols. For lists of symbols categorized by type and subject, refer to the relevant pages below for more.

Get the master summary of mathematical symbols in eBook form — along with each symbol’s usage and LaTeX code.

1. Useful For Everyone Interested In Pre-Unversity /University Mathematics.
Plus Point Is For All Who Can Afford Expensive Education, Here It Is Free!

2. Anil E A says:

Great resource, It will be a boon to many. Really appreciate the effort.

3. Tracy says:

I did not see the definition of the funny-shaped half circle that looks like a capital E.

4. tilkesh says:

I was searching for the list and I found your work. It is best in the math word. Thank you very much. It may have taken so much effort to make it concise and precise and complete. Excellent. Thank you very much.

5. Rajasthani Poetry says:

Keep up the good work

6. Ivor says:

What could ' mean in an algebraic formula? The context is that the formula is for calculating temperature at an interface between materials and the three symbol combination is: theta ' n

The formula gets used at the interface between consecutive material layers and so I'm assuming it ' means something like 'at the layer in question' but I'm trying to get a more precise definition.

1. Hi Ivor. Interesting question! Since the formula is in the context of calculating temperature, $\theta’_n$ as a whole may refer to the temperature at the surface between the $n$ and the $n+1$ layer. The $’$ symbol is also often used as the derivative of a function in topics involving calculus, though that seems like a less likely choice in this case.