Ancient Mathematics: Islamic Science

Islamic mathematics developed under strong influence of the ancient Greek mathematics. During the Abbasid Caliphate, Euclid’s Elements and Ptolemy’s Almagest were translated into Syriac then to Arabic, followed by the works by Diophantus, Heron of Alexandria, Archimedes of Syracuse, and Apollonius. Arab scientists inherited and developed Greeks' deductive method. Among the famous Arab mathematicians were Muhammad al-Khwarizmi, al-Karaji, Omar Khayyam and al-Kashi. Since the early 11th century mathematical knowledge from Islamic countries crossed the seas and became crucial for the development of European mathematics. The words algebra, algorithm, many astronomical terms and stars' names came to European languages from Arabian.


DELIVERY MODE

  • This class will be delivered online via the online platform Zoom.
  • This course requires students to have an email, a reliable internet connection, a microphone/speakers and access to a tablet, smartphone or computer.


SUGGESTED READING

  • Colin Ronan. The Cambridge Illustrated History of the World’s Science. Cambridge University Press, 1983.
  • G.G. Joseph. The Crest of the Peacock: Non-European Roots of Mathematics. Princeton University Press, 2000.


COURSE OUTLINE

  • Main history of ancient Arab mathematics
  • Translating Greek mathematical sources
  • Introduction of the decimal numeral system to developing trigonometry
  • Theory of parallel lines
  • Algebra for solving square and cubic equations


PLANNED LEARNING OUTCOMES
By the end of this course, students should be able to:

  1. Understand the Middle Ages Arabic contribution to mathematics.
  2. Know the system of Arab numerals, operations with numbers and fractions.
  3. Understand Arab concept of irrational numbers.
  4. Understand achievements in algebra: square and cubic equation.
  5. Understand achievements in geometry: conical sections.
  6. Know achievements in trigonometry: tables of sines, cosines, tangents, cotangents.
  7. Know the concept of spherical trigonometry.
  8. Be familiar with the names and works of the main Arab mathematicians: Muhammad al-Khwarizmi, Abu Bakr al-Karaji, Omar Khayyam, Jamshīd al-Kashi, and others.
  9. Understand the influence of Arab mathematics on Medieval European mathematics.
$65 Limited

<p>Islamic mathematics developed under strong influence of the ancient Greek mathematics. During the Abbasid Caliphate, Euclid’s Elements and Ptolemy’s Almagest were translated into Syriac then to

...
06 Aug

Interested in this course but can't attend? Please join the waiting list by clicking .