30 Questions
In which century did the translation of Greek, Indian, Persian, and other language books into Arabic begin?
8th century
What was the primary influence on Geometry during the Golden Age of Islamic science?
Greek Mathematics
How many mathematicians from this era have surviving works today?
Nearly 50
What was Muhammad ibn Musa al-Khwarizmi's occupation after 810?
Librarian
Approximately how many years did the Golden Age of Islam last?
500 years
What were the four subjects on which Muhammad ibn Musa al-Khwarizmi wrote books?
Geography, Astronomy, Arithmetic, and Algebra
What is the title of the book that was translated into Latin in 1440 and used as a textbook until the 1600s?
The Compendious Book on Calculation by Completion and Balancing
What type of equations did Al-Khwarizmi present a systematic solution for?
Quadratic equations
How many classes of second-degree equations did Al-Khwarizmi classify and provide an algorithmic approach for solving?
6 classes
From what book did the name 'Algebra' originate?
The Compendious Book on Calculation by Completion and Balancing
What is the origin of the word 'Algorithm'?
From the Latinized name 'Al-Khwarizmi'
What type of problems did Al-Khwarizmi's book contain examples and applications for?
Trade, surveying, and legal inheritance problems
What was Al-Khwarizmi's role in the development of the decimal positional number system?
He introduced the system to the Western world
What was the significance of the number 0 in Al-Khwarizmi's arithmetic book?
It was a symbol used to fill blanks
What was Omar Khayyam's profession?
Mathematician, astronomer, philosopher, and poet
What was Omar Khayyam's role in the development of the Persian calendar?
He revised the existing calendar
Where was Omar Khayyam born?
Neyshabur, in northeastern Persia
What was the significance of the year 876 in the development of the number 0?
The number 0 was first used in India
What was the approximate length of a year computed by Omar Khayyam?
365.24219858156 years
What type of approach did Omar Khayyam use to find the roots of 3rd degree polynomials?
Geometric approach by means of conic sections
How many different types of equations of degree at most three did Sharaf al-Din al-Tusi categorize?
25
What is a significant observation made by Omar Khayyam about cubic polynomials?
They may have more than one root
Where did Sharaf al-Din al-Tusi teach mathematics?
Damascus, Aleppo, Baghdad, and Mosul
What is credited to Sharaf al-Din al-Tusi?
Proposal of the idea of a function
What was the focus of Nasir al-Din al-Tusi's work on cubic equations?
Analyzing cases based on the discriminant of polynomial equations
What was remarkable about Nasir al-Din al-Tusi's method of solving cubic equations?
He used a method that involved the concept of a derivative
What was the significance of Nasir al-Din al-Tusi's work on trigonometry?
It made trigonometry an independent area of mathematics
What was the title of Nasir al-Din al-Tusi's astronomical work?
Zij-i Ilkhani
What was Nasir al-Din al-Tusi's profession besides being a mathematician?
All of the above
When was the concept of derivative properly defined according to the text?
400 years after Nasir al-Din al-Tusi's time
Explore the significant contributions of the Islamic World to mathematics during its Golden Age, from 750 AD to 1250 AD. Learn about the House of Wisdom, a major library established by Abbasid Caliphs, and the massive translation movement of Greek, Indian, and Persian texts into Arabic.
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