Al-Khwarizmi contributed to mathematics by introducing the decimal system and inventing algebra, which greatly influenced the development of both modern mathematics and science.

## Detailed response question

Al-Khwarizmi, a Persian mathematician and scholar who lived during the 9th century, made significant contributions to mathematics and science that continue to influence the field today. He is often referred to as the father of algebra, as he developed the foundational concepts of the subject and wrote “Kitab al-Jabr wa al-Muqabala” (The Book of Restoring and Balancing), which introduced systematic methods for solving linear and quadratic equations.

In addition to his work in algebra, al-Khwarizmi also played a key role in the development of the decimal system, which uses the base-10 numbering system that is widely used around the world today. This system made arithmetic operations much simpler and more efficient, and it paved the way for the development of modern mathematics.

According to the Mathematical Association of America, “al-Khwarizmi’s work was not only an essential prerequisite to the development of modern algebra and analysis, but enabled the later development of trigonometry and calculus.” His legacy can be seen in the many technical terms still used in math today that were derived from his works, such as “algorithm” (from his last name) and “algebra” (from the title of his book).

Here are some interesting facts about al-Khwarizmi:

- He served as the head of the House of Wisdom, a major center of learning in Baghdad during the Islamic Golden Age.
- He also wrote works on geography, astronomy, and astrology.
- The lunar crater Al-Khwarizmi is named after him.
- Al-Khwarizmi’s influence extended beyond the Islamic world; his works were translated into Latin and heavily studied by mathematicians in Europe during the Middle Ages.
- His work with the decimal system directly influenced the development of Indian mathematics as well, where it was further developed and refined by scholars such as Brahmagupta and Aryabhata.

As stated by the British author and mathematician Eric Temple Bell, “Al-Khwarizmi, the father of algebra, deserves unlimited praise for his discernment in recognizing the advantages to be derived from algebraic methods for solving arithmetical problems and for his masterly contribution to the science of algebra.”

Here is a table summarizing some of al-Khwarizmi’s key contributions:

Contribution | Description |
---|---|

Algebra | Developed foundational algebraic concepts and introduced systematic methods for solving linear and quadratic equations. |

Decimal system | Developed the base-10 numbering system that is still widely used today and made arithmetic operations more efficient. |

Trigonometry and calculus | His work on algebra provided the foundation for later developments in these areas of mathematics. |

Hellenistic mathematics | His works were instrumental in preserving and building upon the mathematical achievements of ancient Greece, such as Euclid’s geometry. |

Astronomy and astrology | Wrote works on these topics, including a book on astronomical tables that was widely used in the Islamic world. |

Influence on other cultures | His works were translated into Latin and heavily studied by mathematicians in Europe during the Middle Ages, and his decimal system influenced the development of Indian mathematics. |

## Video response

The word “algorithm” stems from the name of a Persian mathematician and scholar, Muhammad ibn Musa al-Khwarizmi. Al-Khwarizmi was a director in the House of Wisdom and made significant contributions to mathematics, astronomy, geography, and cartography. He introduced Hindu-Arabic numerals to the West and contributed to maths by showing how complex problems could be broken down into simpler parts and solved. This paved the way for the computer age, as the principles of algorithms became the foundation for modern computing.

**Other answers to your question**

Al-Khwārizmī became famous for his mathematical works.

He wrote a book on algebra from whose title the word algebra is derived, and he wrote a book on calculation that introduced to Europe the Hindu-Arabic numerals and how to do arithmetic with them.

Al-Khwarizmi was a

Muslim mathematician and astronomer. He introduced Hindu-Arabic numerals and the concepts of algebra into European mathematics. He invented new ways to solve mathematical problems and wrote a book that explained a problem-solving system that is now known as algebra. His book “Al-Kitab al-mukhtasar fi hisab al-jabr wa’l-muqabala” is regarded as the founding work of contemporary algebra. He also developed the lattice multiplication method of multiplying large numbers. European universities used his book to teach mathematics from the 1100s to the 1500s.

Al-Khwārizmī, in full Muḥammad ibn Mūsā al-Khwārizmī, (born c. 780 —died c. 850), Muslim mathematician and astronomer whose major works introduced Hindu-Arabic numerals and the concepts of algebra into European mathematics. Latinized versions of his name and of his most famous book title live on in the terms algorithm and algebra.

Al-Khwarizmi invented new ways to solve mathematical problems. One of the books he wrote explained a problem-solving system that is now known as algebra. The word algebra comes from the Arabic word al-jabr, which appears in the title of al-Khwarizmi’s book. European universities used the book to teach mathematics from the 1100s to the 1500s.

His book “ Al-Kitab al-mukhtasar fi hisab al-jabr wa’l-muqabala” is regarded as the founding work of contemporary algebra. His book “ kitâb al-jem wa’l tafrîq bi hisâb al-hind ” used Indian numerals as opposed to letters of the alphabet to represent numbers and the first decimal notation or numeration of numbers based on position.

Al-Khwarizmi is usually credited with the development of lattice (or sieve) multiplication method of multiplying large numbers, a method algorithmically equivalent to long multiplication. His lattice method was later introduced into Europe by Fibonacci.

The correct answer is: His work became the basis for algebra. Al-Khwarizmi’s famous exposition on algebra, The Compendious Book on Calculation by Completion and Balancing, offered the first systematic solution of linear and quadratic equations. He was the first to approach algebra as an independent discipline and proposed the methods of reduction and balancing. For his contributions, he has been called the father of algebra.

## In addition, people ask

**Who was al-Khwarizmi and what contributions did he make?***Persian mathematician Muḥammad ibn Mūsā al-Khwārizmī, sometimes known as the father of algebra*, was one of the most influential thinkers of all time. He revolutionised algebra and his seminal works in mathematics, astronomy and geography have proved to be the keystone for centuries of advances across the … world.

Similarly, **Why was al-Khwarizmi important to history?**

Response: His task was *the translation of Greek scientific manuscripts*. He also studied and wrote many books and treatises. His Algebra was the first book on the systematic solution of linear and quadratic equations. Consequently Al-Khwarizmi is to be considered to be the father of algebra, a title he shares with Diophantus.

Beside this, **What was al-Khwarizmi the father of in the field of mathematics?** Father of Algebra

Muhammad ibn Musa Al-Khwarizmi: The Father of *Algebra*.

Correspondingly, **What did al-Khwarizmi famous for?**

He is known as the *father of algebra*. The word ‘algebra’ comes from the title of one of his most famous books. The word ‘algorithm’ is derived from the Latinization of his name. His full name was Muḥammad ibn Musá al-Khwārizmiyy al-Majūsiyy al-Quṭrubbaliyy.

Furthermore, **How did al-Khwarizmi contribute to mathematics?**

Answer to this: Al-Khwarizmi made several contributions to geometry. He wrote about spherical geometry, sines, and cosines. He used geometry to make astronomical calculations about the movement of heavenly bodies. Who is the father of algebra? Muslim mathematician and astronomer al-Khwarizmi is considered to be the father of algebra.

Besides, **Who was Al Khwarizmi?** The reply will be: Math is, historically speaking, a genuinely multicultural project. One mathematician whose contributions were sadly neglected or covered over for a time is the Persian and Islamic mathematician Al Khwarizmi. He lived from around 780 to 850 CE, and historians often describe him as the most influential mathematician of the Islamic Golden Age.

**What did al Khwarizmi learn from Ptolemy?** In reply to that: Al Khwarizmi’s work was mostly derived from Greek mathematics, Indian numbers and Babylonian and Persian astronomy. He was also familiar with classic Greek mathematician. Ptolemy’s *work on the African and Middle Eastern locations* had been adopted, systematized and eventually corrected by him.

**What did Muhammad ibn Musa al-Khwarizmi write?**

The response is: Al-Khwarizmi wrote a table of zijes, which were calculations of the movements of planets and stars. He also wrote about using the Jewish calendar to calculate the latitude and longitude of the sun and moon. What did Muhammad ibn Musa Al-Khwarizmi contribute to geometry? Al-Khwarizmi made several contributions to geometry.

## Relevant information

**Did you know:**Al-Khwarizmi is one of the most famous astronomers, geologist, and mathematician at the time of the Golden Era of Muslims. He is also the inventor of many mathematical methods and a branch of math, called Algebra. Furthermore, he was the first to use decimals to express the fractions.

**Wondering what,**Al-Khwārizmī’s teachings are considered the foundations and cornerstone of the sciences and influenced millions of learned men throughout the world. During the late Medieval period, his work on arithmetic and astronomy contributed to the system of education made up of the Seven Liberal Arts.

**Interesting fact:**Ever since he made his name present in every math book, al-Khwārizmī became one of the most popular figures in Arabic history. He was mentioned by almost every single media outlet that existed. So what’s new? The importance of his work does not lie in what he did twelve centuries ago, but to the methods he applied to produce such results.