Medieval Islamicate scholars made significant contributions to mathematics, including the development of algebra and trigonometry, the decimal system, and the concept of zero, which greatly influenced the field of mathematics worldwide.

## Detailed responses to the query

Medieval Islamicate scholars have made significant contributions to the field of mathematics, and their legacy continues to influence modern-day mathematics. Their advancements in algebra and trigonometry revolutionized the way in which complex equations are solved. Additionally, the decimal system and the concept of zero, which were developed by medieval Islamicate mathematicians, have become fundamental components of mathematics worldwide.

One of the most significant contributions of medieval Islamicate mathematicians was the development of algebra. The word “algebra” itself is derived from the Arabic word “al-jabr,” which means “the reunion of broken parts.” This method of solving equations allowed mathematicians to solve complex problems that were previously unsolvable. In fact, the Persian mathematician al-Khwarizmi was one of the pioneers of algebra, and his book “Al-Kitab al-mukhtasar fi hisab al-jabr wal-muqabala” (The Compendious Book on Calculation by Completion and Balancing) served as a foundational text on the subject.

Trigonometry was another area in which medieval Islamicate scholars made significant contributions. The Persian mathematician al-Biruni is considered to be one of the pioneers of trigonometry, and his work on the subject influenced many other mathematicians. Additionally, the development of the sine and cosine functions by the Persian mathematician Abu al-Wafa al-Buzjani allowed for the calculation of sine tables, which were crucial for navigation and astronomy.

Another major contribution of medieval Islamicate mathematics was the development of the decimal system and the concept of zero. The decimal system, which uses the number 0-9 to represent all numbers, greatly simplified arithmetic and allowed for the easy calculation of both large and small numbers. The use of zero as a placeholder was a major innovation that allowed for the representation of decimal fractions, which were crucial in the development of calculus centuries later.

These advancements in mathematics by medieval Islamicate scholars had a profound impact on the field. As stated by mathematician Carl Boyer, “The significance of medieval Islamicate mathematics lies not only in the novelty and originality of its achievements but also in the fact that it was instrumental in paving the way for the subsequent development of mathematics in Europe.”

Interesting facts:

- The medieval Islamicate mathematician al-Khwarizmi is considered to be the father of algebra, and his name is the origin of the word “algorithm.”
- The Persian mathematician al-Biruni is known for his work on the measurement of the Earth’s circumference, which he calculated to be 24,835 miles – a figure that is remarkably close to the actual value of 24,901 miles.
- The works of medieval Islamicate mathematicians were eventually translated into Latin and became the basis for much of European mathematics.
- The decimal system and the concept of zero were not developed in isolation by medieval Islamicate mathematicians – they were the result of centuries of mathematical development in the region, influenced by various cultures and traditions.
- The advancements made by medieval Islamicate mathematicians were not limited to mathematics – they also made significant contributions to fields such as astronomy, medicine, and engineering.

Example table:

Mathematician | Area of Contribution | Contribution |
---|---|---|

Al-Khwarizmi | Algebra | Development of algebra as a field of study |

Al-Biruni | Trigonometry | Pioneering work on the measurement of the Earth’s circumference |

Abu al-Wafa al-Buzjani | Trigonometry | Development of the sine and cosine functions |

Anonymous Ibn-Duru – al-Qalāṣādī | Decimal system | Introduction of the decimal system as a means of representing numbers |

## Video answer to “What are the contributions of the medieval Islamicate in mathematics?”

The video discusses the history of science in the medieval Islamicate world, focusing on the work of al-Jazarī. He is credited with inventing the camshaft and the segmental gear, among other things, and his robots are considered some of the earliest examples of robot technology. The video also mentions that the series is made with the help of all of these nice people, and that it is possible to support the series through Patreon.

**Other answers to your question**

Important progress was made, such as

full development of the decimal place-value system to include decimal fractions, the first systematised study of algebra, and advances in geometry and trigonometry.

The 7th to the 13th century was the golden age of Muslim learning. In mathematics they contributed and

invented the present arithmetical decimal systemand the fundamental operations connected with it: addition, subtraction, multiplication, division, exponentiation, and extracting the root. They also introduced the ‘zero’ concept to the world.

The most succinct way to describe the impact of Islamic mathematicians is to note that

they completely changed the "flavor" of mathematicsduring their dominance in the field. One example of this is the change from the largely geometric formulations of the Greeks to the largely symbolic formulations that we use today.

While Europeans were huddling in smoky huts, sleeping on piles of straw, Muslims were busy inventing Algebra, refining cartography, and practicing elaborate medical techniques, including surgery. Muslims were producing Damascus steel, writing poetry and philosophy, and advancing astronomy.

That said, I’m not sure faith in Allah and his prophet (SAW) was the guiding light here: Arab scholars were Muslims, but so were many other peoples. I’d posit it was a case of a strong and growing culture wedded to a belief in Islam, rather than the practices of Islam itself.

Islam, like all religious systems, is more concerned with living in a moral fashion and practicing accepted spiritual beliefs rather than advancing technology or secular knowledge. As such Islam has promoted societies that did seek out new discoveries, and others that have taken refuge in literal dogma.

## More interesting questions on the issue

Furthermore, **How did the Islamic empire contribute to mathematics?**

The response is: Muslim mathematicians invented the present arithmetical decimal system and the fundamental operations connected with it – addition, subtraction, multiplication, division, raising to a power, and extracting the square root and the cubic root.

Also question is, **What are the contribution of medieval period in mathematics?**

The work introduced Hindu-Arabic numerals to Europe, and discussed many other mathematical problems. The 14th century saw the development of new mathematical concepts to investigate a wide range of problems. One important contribution was development of mathematics of local motion.

Likewise, **What impact did the Islamic world have on mathematics?**

In reply to that: Islamic mathematicians quickly adopted the Indian system of numerals, which we know today as Arabic numerals. Other contributions included creating algebra, the use of decimals, mathematical induction, and trigonometry, among others.

One may also ask, **What are 3 Islamic contributions to mathematics and technology?**

Islamic scientists in the 10th century were involved in three major mathematical projects: the completion of arithmetic algorithms, the development of algebra, and the extension of geometry.

In this regard, **What did Islamic mathematicians do in medieval times?** The answer is: During the medieval period Islamic mathematicians enjoyed a dynamic and vibrant profession that, contrary to many popular teachings, made significant contributions to their field that continue to affect the way mathematics is practiced today.

Beside this, **What was Science in the medieval Islamic world?** Response: Science in the medieval Islamic world was the science developed and practised during the Islamic Golden Age under the Umayyads of Córdoba, the Abbadids of Seville, the Samanids, the Ziyarids, the Buyids in Persia, the Abbasid Caliphate and beyond, spanning the period roughly between 786 and 1258.

Similarly, **What arithmetic system did Islam use?**

Answer: The third system was Indian arithmetic, whose basic numeral forms, complete with the zero, eastern Islam took over from the Hindus. (Different forms of the numerals, whose origins are not entirely clear, were used in western Islam.)

In respect to this, **Why was mathematics important to ancient Greece?**

Specifically, they invented the algebra that most learn in school today, made significant advances in the field of trigonometry, and helped form a synthesis of mathematical ideas, fusing the best of Greek mathematics with important Hindu and Persian concepts to create a mathematical structure that was far grander than what they had inherited.

## Interesting facts on the topic

**Did you know that,**Islamic mathematicians translated virtually every surviving Greek text on mathematics and they were certainly aware of the Greek discoveries and formulations of problems. In fact, the earliest Muslim text describing algebra describes problems that could only have been translated from the Greeks. Al-Daffa, A.A. The Muslim Contribution to Mathematics. Maor, Eli.