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Who invented algebra? Everything one should know about algebra


Arithmetic, algebra, and geometry are the three main branches that make up the topic of mathematics. One of the oldest topics in the history of mathematics is said to be algebra. In algebra, symbols, exponentials, known and unknown variables, and equations are all studied. A detailed discussion of the history of algebra has been provided.


What is Algebra?

A broad area of mathematics known as “Algebra” is made up of number theory, geometry, and their analysis. Algebra, then, is a branch of mathematics that deals with symbols and the formulas used to calculate them.

Who Invented Algebra and Why?

The “Father of Algebra” is Muhammad ibn Musa al-Khwarizmi. He is known as the main person who invented algebra. The phrase “algebra” was taken from a book he published in Arabic called Kitab Al Muhtasar fi Hisab Al Gabr Wa I Muqabala, which finally became “The Compendious Book on Calculation by Completion and Balancing” in English. He was a mathematician from Persia. The book offers a methodical approach for solving both linear and quadratic equations.

Al-Khwarizmi claims that the definition of algebra is the “reduction” and “balance” of subtracted terms by the transposition to other sides of the equation (cancellation of like terms).

Every high school student is required to take algebra, but who actually created the subject? We now collectively refer to algebra, which was first known as separate branches of mathematics that were discovered and developed in various places and various eras.


Numerous individuals who were not aware of the discoveries being made in other parts of the world independently discovered certain key concepts related to algebra. As news spread slowly in the past, it was common for discoveries to be made simultaneously by several people. 

The term “algebra” is used to name a variety of algebraic structures, such as an algebra over a field, which is also known as an algebra, in addition to a mathematical field and some of its subfields. Sometimes, the terms for a subfield and its primary algebraic structures are used similarly, as in the cases of Boolean algebra and Boolean algebra. An algebraist is a mathematician with a focus on algebra.

Hope now it is clear to you that who invented algebra.

Also Read: What are Pre-algebra and Pre-algebra formulas?

Types of algebra


At present, there are mainly three types of algebra.

  • Elementary algebra
  • Abstract algebra
  • Linear algebra

Elementary algebra 

Elementary algebra is necessary since all mathematical applications involve controlling variables as though they were numbers. 

Abstract algebra

In academics, the study of algebraic objects like groups, rings, and fields is called “abstract algebra.” There are some Real life abstract algebra applications you should know.

Linear algebra

Linear algebra, which deals with linear equations and translations and has various real-world applications, is a part of current presentations of geometry. For example, it is useful in weather forecasting. 

Mathematics’ areas with algebra in their name 

After knowing who invented algebra, now you should also learn some terms,which have algebra in their name. The term “algebra” refers to a broad category of mathematical topics, some of which include the word “algebra” in their titles, such as commutative algebra, and others which do not, like Galois theory.


Some other terms which have “algebra” in their name:

  • Elementary algebra is the area of algebra that is often covered in introductory mathematics courses.
  • Algebraic structures like groups, rings, and fields are axiomatically defined and studied in abstract algebra.
  • The study of the unique characteristics of linear equations, vector spaces, and matrices is done in linear algebra.
  • Boolean algebra is a subfield of mathematics that abstracts computation using the truth values true and false.
  • Commutative rings are the subject of commutative algebra.
  • Computer algebra is the use of algebraic techniques as computer programmes and algorithms.
  • The study of algebraic structures known as homological algebra is essential to understanding topological spaces.
  • The study of qualities that are shared by all algebraic structures is known as universal algebra.
  • Algebraic number theory is the study of a number’s properties from an algebraic perspective.
  • A subfield of geometry called algebraic geometry initially defined surfaces and curves as the answers to polynomial equations.
  • Algebraic combinatorics is the study of large scale problems using algebraic techniques.
  • A collection of financial relations that are closed under specific operators is known as relational algebra.

Why was algebra invented? What Problems Did it Help Solve?

The person who invented algebra, why he did that we will discuss that properly in the upcoming paragraph.

In summary, algebraic theory was created by a wide range of societies and cultures. And every innovation and new technique developed for unique causes. The goal was always to solve an issue and make it simpler to find a solution. The Babylonians, for instance, used algebra to determine, among other things, the area of objects and the interest on loans. It was created because it served a useful purpose.

While the Babylonians preferred to use assumptions, the Hellenistic (Greek) mathematician Diophantus was considerably more interested in accurate solutions. He used algebra for similar reasons.

Since the time of the ancient Greeks and Babylonians, algebra has been used extensively to tackle a wide range of issues in science and engineering. Al-Khwarizmi concentrated on computing issues, and his work has recently been re – evaluated. His efforts also helped in the resolution of trade and inheritance issues.

Today, algebra is widely used in engineering and construction planning to guarantee the safe and proper design of buildings, bridges, planes, and other structures. Algebra is used in the finance industry to forecast risks and evaluate economic effects.

The long history of mathematics and its invention shows that neither one person nor one civilization was responsible. It was not a single person who invented algebra. Its growth was stretched out over ages, and a large number of people contributed to it. Our knowledge of and applications for algebra may be substantially different today without each of the contributions made along the road.

Final Words

To conclude, In this post we have discussed Who invented algebra? Also, all essential things any person needs to know about “algebra” are also discussed. Algebra is invented by Muhammad ibn Musa al-Khwarizmi. He was a Muslim mathematician, who wrote a book in 9th century named “Kitab Al-Jabr”. From his book the word “algebra” is taken. 

We hope you have enjoyed reading this article, and we are able to clear all your queries about “Who invented algebra”. For more posts like this, keep visiting our website on a regular basis.

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