# Calculus and Analysis Symbols

A comprehensive collection of the most notable symbols in calculus and analysis, categorized by topic and function into charts and tables along each symbol's meaning and example.

In mathematics, calculus formalizes the study of continuous change, while analysis provides it with a rigorous foundation in logic. The following list documents some of the most notable symbols and notations in calculus and analysis, along with each symbol’s usage and meaning.

For readability purpose, these symbols are categorized by topic and function into tables. Other comprehensive lists of math 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 and Variables

In calculus and analysis, constants and variables are often reserved for key mathematical numbers and arbitrarily small quantities. The following table documents some of the most notable symbols in these categories — along with each symbol’s example and meaning.

## Sequence, Series and Limit

The concepts of sequence, series and limit form the foundation of calculus (and by extension real and complex analysis). The following table features some of the most common symbols related to these topics — along with each symbol’s usage and meaning.

## Derivative and Integral

The field of calculus (e.g., multivariate/vector calculus, differential equations) is often said to revolve around two opposing but complementary concepts: derivative and integral. The following tables document the most notable symbols related to these — along with each symbol’s usage and meaning.

(For a review on function and related operators, see function-related operators.)

## Asymptotic Analysis

In calculus and analysis, the need for comparing the rates of growth of different functions leads to the study of asymptotic analysis. The following table documents some of the most notable symbols related to this topic — along with each symbol’s usage and meaning.

The following table features some of the most common functions arranged according to their asymptotic hierarchy — where each function is asymptotically dominated by what follows it:

## Key Functions and Transforms

In calculus and analysis, one often makes reference to a wide range of key functions and transforms. The following table documents the most notable of these — along with each symbol’s usage and meaning.

(For a review on elementary functions, see key functions in algebra.)

### Key Transforms

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.

1. 