Islamic Golden Age: Mathematics in Medieval Era

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 (C)</p> Signup and view all the answers

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

<p>500 years (C)</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 (B)</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 (D)</p> Signup and view all the answers

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

<p>Quadratic equations (C)</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 (C)</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 (A)</p> Signup and view all the answers

What is the origin of the word 'Algorithm'?

<p>From the Latinized name 'Al-Khwarizmi' (C)</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 (A)</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 (D)</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 (D)</p> Signup and view all the answers

What was Omar Khayyam's profession?

<p>Mathematician, astronomer, philosopher, and poet (B)</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 (A)</p> Signup and view all the answers

Where was Omar Khayyam born?

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

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

<p>365.24219858156 years (D)</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 (D)</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 (A)</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 (A)</p> Signup and view all the answers

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

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

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

<p>Proposal of the idea of a function (C)</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 (D)</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 (D)</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 (D)</p> Signup and view all the answers

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

<p>Zij-i Ilkhani (A)</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 (D)</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 (B)</p> Signup and view all the answers

Flashcards are hidden until you start studying

Related Documents

More Like This

Use Quizgecko on...
Browser
Browser