Islamic Golden Age: Mathematics in Medieval Era
30 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

In which century did the translation of Greek, Indian, Persian, and other language books into Arabic begin?

  • 8th century (correct)
  • 7th century
  • 9th century
  • 10th century
  • What was the primary influence on Geometry during the Golden Age of Islamic science?

  • Persian Mathematics
  • Greek Mathematics (correct)
  • Arabic Mathematics
  • Mesopotamian and Indian Mathematics
  • How many mathematicians from this era have surviving works today?

  • Around 20
  • Nearly 50 (correct)
  • Over 70
  • Around 30
  • What was Muhammad ibn Musa al-Khwarizmi's occupation after 810?

    <p>Librarian</p> Signup and view all the answers

    Approximately how many years did the Golden Age of Islam last?

    <p>500 years</p> Signup and view all the answers

    What were the four subjects on which Muhammad ibn Musa al-Khwarizmi wrote books?

    <p>Geography, Astronomy, Arithmetic, and Algebra</p> Signup and view all the answers

    What is the title of the book that was translated into Latin in 1440 and used as a textbook until the 1600s?

    <p>The Compendious Book on Calculation by Completion and Balancing</p> Signup and view all the answers

    What type of equations did Al-Khwarizmi present a systematic solution for?

    <p>Quadratic equations</p> Signup and view all the answers

    How many classes of second-degree equations did Al-Khwarizmi classify and provide an algorithmic approach for solving?

    <p>6 classes</p> Signup and view all the answers

    From what book did the name 'Algebra' originate?

    <p>The Compendious Book on Calculation by Completion and Balancing</p> Signup and view all the answers

    What is the origin of the word 'Algorithm'?

    <p>From the Latinized name 'Al-Khwarizmi'</p> Signup and view all the answers

    What type of problems did Al-Khwarizmi's book contain examples and applications for?

    <p>Trade, surveying, and legal inheritance problems</p> Signup and view all the answers

    What was Al-Khwarizmi's role in the development of the decimal positional number system?

    <p>He introduced the system to the Western world</p> Signup and view all the answers

    What was the significance of the number 0 in Al-Khwarizmi's arithmetic book?

    <p>It was a symbol used to fill blanks</p> Signup and view all the answers

    What was Omar Khayyam's profession?

    <p>Mathematician, astronomer, philosopher, and poet</p> Signup and view all the answers

    What was Omar Khayyam's role in the development of the Persian calendar?

    <p>He revised the existing calendar</p> Signup and view all the answers

    Where was Omar Khayyam born?

    <p>Neyshabur, in northeastern Persia</p> Signup and view all the answers

    What was the significance of the year 876 in the development of the number 0?

    <p>The number 0 was first used in India</p> Signup and view all the answers

    What was the approximate length of a year computed by Omar Khayyam?

    <p>365.24219858156 years</p> Signup and view all the answers

    What type of approach did Omar Khayyam use to find the roots of 3rd degree polynomials?

    <p>Geometric approach by means of conic sections</p> Signup and view all the answers

    How many different types of equations of degree at most three did Sharaf al-Din al-Tusi categorize?

    <p>25</p> Signup and view all the answers

    What is a significant observation made by Omar Khayyam about cubic polynomials?

    <p>They may have more than one root</p> Signup and view all the answers

    Where did Sharaf al-Din al-Tusi teach mathematics?

    <p>Damascus, Aleppo, Baghdad, and Mosul</p> Signup and view all the answers

    What is credited to Sharaf al-Din al-Tusi?

    <p>Proposal of the idea of a function</p> Signup and view all the answers

    What was the focus of Nasir al-Din al-Tusi's work on cubic equations?

    <p>Analyzing cases based on the discriminant of polynomial equations</p> Signup and view all the answers

    What was remarkable about Nasir al-Din al-Tusi's method of solving cubic equations?

    <p>He used a method that involved the concept of a derivative</p> Signup and view all the answers

    What was the significance of Nasir al-Din al-Tusi's work on trigonometry?

    <p>It made trigonometry an independent area of mathematics</p> Signup and view all the answers

    What was the title of Nasir al-Din al-Tusi's astronomical work?

    <p>Zij-i Ilkhani</p> Signup and view all the answers

    What was Nasir al-Din al-Tusi's profession besides being a mathematician?

    <p>All of the above</p> Signup and view all the answers

    When was the concept of derivative properly defined according to the text?

    <p>400 years after Nasir al-Din al-Tusi's time</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Browser