# Definition:Abstract Algebra

## Definition

**Abstract algebra** is a branch of mathematics which studies algebraic structures and algebraic systems.

## Also known as

**Abstract algebra** is also sometimes referred to as **modern algebra**.

## Also see

- Results about
**abstract algebra**can be found here.

## Linguistic Note

The word **algebra** originates from the Arabic word **al-ğabr**, meaning **balancing**, **reduction** or **restoration**.

It originates from the name of a book, circa 825 C.E., by Muhammad ibn Musa al-Khwarizmi:

*Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala*(*The Compendious Book on Calculation by Completion and Balancing*)

## Sources

- 1971: Allan Clark:
*Elements of Abstract Algebra*... (previous) ... (next): Introduction - 1978: Thomas A. Whitelaw:
*An Introduction to Abstract Algebra*... (next): $\S 1$: Some very general remarks - 1978: Thomas A. Whitelaw:
*An Introduction to Abstract Algebra*... (previous) ... (next): $\S 26$. Introduction