The most notable achievement of Islamic mathematics was the development of algebra, including the use of symbols and equations to solve problems.

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One of the most significant achievements of Islamic mathematics was the development of algebra, which allowed mathematicians to solve complex problems by using symbols and equations. This system of algebraic notation was introduced by the Persian mathematician Muhammad al-Khwarizmi in the 9th century. His book, Al-Kitab al-mukhtasar fi hisab al-jabr wal-muqabala (The Compendious Book on Calculation by Completion and Balancing), is considered the foundational text of algebra.

Al-Khwarizmi’s work was built on the mathematical knowledge of ancient civilizations, including the Greeks, Egyptians, and Indians. However, he made significant contributions to the field, including the development of the quadratic formula, which is still used today to solve equations of the form ax^2 + bx + c = 0.

In addition to algebra, Islamic mathematicians also made important advances in areas such as trigonometry, geometry, and calculus. They developed new methods for measuring angles and distances, as well as techniques for calculating the volume and surface area of geometric shapes.

Table: Islamic Contributions to Mathematics

Field | Notable Islamic Mathematicians | Key Contributions |
---|---|---|

Algebra | Muhammad al-Khwarizmi, Al-Karaji, Omar Khayyam | Developed algebraic notation and solved complex equations using symbols |

Trigonometry | Abu Rayhan al-Biruni, Al-Qushji | Improved methods for measuring angles and distances |

Geometry | Ibn al-Haytham, Nasir al-Din al-Tusi | Made significant contributions to the study of geometry, including the calculation of the volume and surface area of geometric shapes |

Calculus | Alhazen, Sharaf al-Din al-Tusi, Jamshīd al-Kāshī | Developed new methods for calculating rates of change and gradients in mathematics |

As the historian E.G. Browne noted, “It was through the Arabo-Persian mathematical tradition that the West learned algebra.” The influence of Islamic mathematics can be seen in the works of European mathematicians such as Leonardo Fibonacci and Isaac Newton. Today, algebra is taught in schools around the world, and continues to be an essential tool in many fields of mathematics and science.

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"Perhaps one of the most significant advances made by Arabic mathematics began at this time with the work of al-Khwarizmi, namely the beginnings of algebra.

The most notable achievement of Islamic mathematics was the development of algebra. Other achievements of the Islamic period include advances in spherical trigonometry and the addition of the decimal point to the Arabic numeral system.

Islamic mathematicians pioneered the study of Algebra and helped establish it as a separate field of mathematics.

Answer:In my opinion, the most important development or achievement of the Islamic golden age was improvements to the astrolabe. Explanation:Muslim astronomers introduced angular scales to astrolabes design, adding circles indicating azimuths on the horizon. It was widely used throughout the Muslim world, chiefly as an aid to navigation and as a way of finding the Qibla, the direction of Mecca.

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The Islamic Golden Age of science was a period of diversity where scholars from various backgrounds worked together to exchange and translate ideas. Among the famous scientists was Muhammad ibn Musa al-Khwarizmi, who invented algebra and the Banu Masu brothers, who built automatic devices that revolutionized modern life. Additionally, the Persian philosopher, physician, and physicist Ibn-Sīnā made wide-ranging influences from Indian and Chinese medicine, cementing important principles still present today such as the need for drug testing. The importance of connections between people of different backgrounds is highlighted, with diversity being linked to better quality research due to increased creativity and fewer assumptions. The ideas that emerged during the Islamic Golden Age of Science changed the foundation for research being done today, and the advancements are a reminder for the potential of when different minds come together.

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**The introduction of the number zero**was especially important for mathematics, and the number 0 was used for about 250 years throughout the Islamic world before Europe ever heard of it! He also introduced the Hindu concept of decimal positioning notation to the Arab and European worlds, which we still use today!

**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.

**treatment of numbers**. It is impossible to conceive how science could have advanced without a sensible logical numeric system to replace the clumsy numerals of the Roman Empire.

**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.)

**adoption of a number system from India**, which included the numbers 1-9 and the concept of 0 as a number.

**development of algebra**.

**mathematical projects**: the completion of arithmetic algorithms, the development of algebra, and the extension of geometry.