The Greek influence in Arabic mathematics was significant, as Arab mathematicians translated and built upon Greek texts, including those of Euclid and Ptolemy, and introduced mathematical concepts such as algebra, trigonometry, and the Hindu-Arabic numeral system to Europe.

## A more detailed response to your inquiry

The Greek influence on Arabic mathematics was a crucial development in the history of mathematics. Arab mathematicians translated and expanded upon Greek mathematical texts, bringing forth new mathematical concepts such as Algebra, Trigonometry, and the Hindu-Arabic numeral system to Europe. One of the earliest mathematical texts translated into Arabic was Euclid’s Elements, which introduced the foundational principles of geometry. In addition, the Arab mathematician Al-Khwarizmi wrote a book named Al-Jabr, which is considered the first major work in algebra.

The Arabic mathematical tradition also significantly impacted the later development of mathematics in Europe. One of the most significant contributions was the invention of the decimal place-value system, which allows large numbers to be written down and manipulated easily. This system evolved from the Hindu-Arabic numeral system, which originated in India and was brought to the Arab world via trade routes.

In the words of Howard Eves, a famous historian of mathematics, “The contribution of the Arabs to mathematics is one of the greatest of any civilization, and yet it is perhaps the least known.” This statement highlights the significance of the Greek influence on Arabic mathematics and its profound impact on the development of modern mathematics.

Here are some interesting facts about the Greek influence on Arabic mathematics:

- The translation of Greek mathematical texts into Arabic was a major undertaking in the ninth century, with scholars travelling to places like Alexandria to obtain Greek manuscripts.
- The word “algebra” is derived from the Arabic word “al-jabr,” which means “reunion of broken parts.”
- The Arab mathematician Al-Khwarizmi was also responsible for developing the concept of algorithms, which have since become essential in computer programming.
- The Hindu-Arabic numeral system was first used widely in the Arab world and later introduced to Europe by Leonardo of Pisa, also known as Fibonacci.
- The decimal place-value system was eventually adopted by most of the world and is still used today.

To summarize, the Greek influence on Arabic mathematics was significant in bringing forth new mathematical concepts and shaping the development of modern mathematics. The contributions made by Arab mathematicians are a testament to the rich cultural exchange that occurred between Muslim scholars and the Greek intellectual tradition.

Table: Influential Arab mathematicians and their contributions

| Mathematician | Contributions |

| — | — |

| Al-Khwarizmi | Developed algebra and algorithms |

| Al-Baghdadi | Worked on geometry and trigonometry |

| Ibn Al-Haytham | Wrote about optics and the principles of light |

| Thabit ibn Qurra | Made advances in number theory and astronomy |

| Abu al-Wafa’ Buzjani | Worked on spherical trigonometry and invented a type of non-linear equation |

Sources:

– “The Contribution of the Arabs to Mathematics” by Howard Eves

– “Islamic Mathematics” by Ahtsham Ali Qureshi

– “The Story of Mathematics” by Anne Rooney

**Here are some more answers to your question**

One of the first Greek texts to be translated was Euclid’s Elements. This had a huge impact, and from then on the Arabic mathematicians adopted a very Greek approach to their mathematics,

formulating theorems precisely and proving them formally in Euclid’s style.

Euclid’s ElementsOne of the first Greek texts to be translated was

Euclid’s Elements. This had a huge impact, and from then on the Arabic mathematicians adopted a very Greek approach to their mathematics, formulating theorems precisely and proving them formally in Euclid’s

One of the first Greek texts to be translated was

Euclid’s Elements. This had a huge impact, and from then on the Arabic mathematicians adopted a very Greek approach to their mathematics, formulating theorems precisely and proving them formally in Euclid’s

## See the answer to your question in this video

The video explores the history of Arabic numerals and how they were actually based on Hindu numerals introduced to the world by Persian mathematician Abu Abdullah Muhammad ibn Musa al-Khawarizmi. Al-Khawarizmi was not only an astronomer who corrected measurements of the world, but he also wrote the first math textbook, compiled an atlas of the known world, and codified knowledge from Greek and Indian traditions to make algebra easier for the average person. Although forgotten by history, his work eventually made its way to Europe where the Hindu-Arabic numeral system was adopted by merchants and scholars alike.

**Surely you will be interested in this**

In this way, **What was the contribution of Arabs and Greeks to the development of math?**

Contribution of Arabs to mathematics If the Greeks are the ones responsible for geometry and trigonometry, they are very famous for the numerals and numbers. The Arabs are responsible for writing numerals from right to left. The Arabs also introduced the number zero.

Beside above, **Who helped influence the mathematics of the Arabs?**

As an answer to this: **Muhammad ibn Musa al-Khwarizmi**, a Persian scholar in the House of Wisdom in Baghdad was the founder of algebra, is along with the Greek mathematician Diophantus, known as the father of algebra.

Thereof, **How did Arabs influence math?** Answer will be: Although the Arabic mathematicians are **most famed for their work on algebra, number theory and number systems, they also made considerable contributions to geometry, trigonometry and mathematical astronomy**.

In this manner, **What is the contribution of the Greek period in mathematics?**

Response will be: 570 – c. 495 BC) was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus.

**How did Greek mathematicians influence the world?** Response will be: Influenced initially by the Egyptians, Greek mathematicians would push on to make breakthroughs such as Pythagoras ‘ theory of right-angled triangles and, by focussing on the abstract, bring clarity and precision to age-old mathematical problems.

Correspondingly, **What did Arabic mathematicians do?** Answer to this: Although the Arabic mathematicians are most famed for their work on algebra, number theory and number systems, they also made considerable contributions to geometry, trigonometry and mathematical astronomy.

Simply so, **What did Greeks learn from Egyptian mathematics?** Answer to this: What the Greeks derived from Egyptian mathematics were mainly rules of thumb with specific applications. Egyptians knew, for example, that a triangle whose sides are in a 3:4:5 ratio is a right triangle.

**What role did medieval Islamic civilization play in the development of mathematics?** Answer will be: It is very well known that the medieval Islamic civilization played a **pivotal** role in the historical development of technical aspects of mathematics.

**What did Arabic mathematicians do?**

Response to this: Although the Arabic mathematicians are most famed for their work on algebra, number theory and number systems, they also made considerable contributions to geometry, trigonometry and mathematical astronomy.

Also to know is, **What mathematics was used in the Golden Age of Islam?** Response will be: A page from The Compendious Book on Calculation by Completion and Balancing by Al-Khwarizmi Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built on Greek mathematics ( Euclid, Archimedes, Apollonius) and Indian mathematics ( Aryabhata, Brahmagupta ).

Hereof, **How did mathematics develop in Christian Europe?** In reply to that: These **translations** were the beginning of the development of mathematics in Christian Europe. The thirteenth century European mathematician Leonardo Fibonacci learned mathematics in the city of Bougie in Algeria and during his travels to other Islamic countries, and he then wrote various influential mathematical works.

**What role did medieval Islamic civilization play in the development of mathematics?**

As an answer to this: It is very well known that the medieval Islamic civilization played a **pivotal** role in the historical development of technical aspects of mathematics.