West Asian Mathematics - History of Math
Welcome to Quatr.us Study Guides!

West Asian Mathematics

Multiplication table
Sumerian multiplication table (2700 BC)

April 2016 - Once people in West Asia figured out how to write down numbers, about 3500 BC, they quickly began to want to use cuneiform to write down other mathematical ideas. The earliest example of this that we have is from about 2700 BC. It shows a multiplication table to help people figure out the area of a space by multiplying width by length. The first column is the width, the second is the length, and the third column is the area. It uses a system for writing down large numbers in base 60 (the way our clocks work today).

Babylonian school math book
Math book (Babylon, about 2000 BC)

This tablet, from about 2000 BC, was a school math book for teaching kids how to calculate inheritance. The problem asks how much each of seven boys would get when their father died, according to Babylonian law. Apparently the law said they should each get a different proportion, with the oldest getting the most and the younger kids less and less. Whoever did the math worked up from the bottom (which was not normal), and also made a mistake in his or her calculations!

Here's a Babylonian math problem you could try to solve yourself. Are you as smart as Babylonian kids?

By the time of the Babylonians, mathematicians were working out quadratic equations like the Pythagorean Theorem, computing square roots and cube roots, and the factors of sixty (because they often worked in base 60).

After the Assyrians formed their empire, mathematical developments seem to have slowed down after this initial rush. But mathematicians continued to work on new ideas. Assyrian mathematicians, working around 1000 BC, first had the idea of dividing the circle into 360 degrees (still working in base 60, so 360=6x60). Thales, working under Lydian political control in Miletus (modern Turkey) in the 630s BC, found ways to calculate when there would be an eclipse of the sun or the moon. Thales also found a way to calculate the height of an Egyptian pyramid by measuring its shadow, and proved various geometrical theorems. Thales' student Anaximander, who was also from Miletus, worked on building a better sundial to measure time. During the Persian Empire, around 500 BC, people first began to use the abacus (nobody knows whether the abacus was invented in Iran or China, or both about the same time, thanks to the beginning of the Silk Road). An abacus is a way of calculating large numbers quickly by moving pebbles along grooves dug into dirt, or beads along wires.

With the development of trade and more travel along the Silk Road between China, India, and West Asia, in the 300s BC, Greek mathematicians were able to talk to Persian and Indian mathematicians more easily than before. A lot of new ideas about infinity, patterns of numbers, and exponents came out of these conversations, but most importantly, from Egypt to India, all across West Asia, mathematicians began to work more on proving that theorems were always true in every case. About 150 BC, Hipparchus (born in Nicaea, now in Turkey) worked on developing trigonometry, making lists of sines and cosines.

Under Parthian and Sassanian rule, scholars continued to bring together knowledge from the countries around them, especially from India. They built a system of math and astronomy based on their Zoroastrian faith, and, like Ptolemy in Egypt and Arya Bhata in India, used trigonometry to make better predictions of the movements of the planets.

Then in the 600s AD, the Arabs conquered West Asia and established the Islamic Empire. Around the same time, Indian numbers revolutionized mathematics. You can read about that here.

Learn by doing: an abacus
A real Babylonian math problem
More about Islamic math

Bibliography and further reading about West Asian science:

Science in Ancient Mesopotamia, by Carol Moss (1999). Easy reading. On the short side.

African Mathematics
Indian Mathematics
Greek mathematics
Islamic Mathematics
More West Asian Science
Ancient West Asia
Quatr.us home

LIMITED TIME OFFER FOR TEACHERS: Using this article with your class? Show us your class page where you're using this article, and we'll send you a free subscription so all your students can use Quatr.us Study Guides with no distractions! (Not a teacher? Paid subscriptions are also available for just $16/year!)
Please help other teachers and students find us: link to this page from your class page.
Karen Carr is Associate Professor Emerita, Department of History, Portland State University. She holds a doctorate in Classical Art and Archaeology from the University of Michigan. Follow her on Instagram or Twitter, or buy her book, Vandals to Visigoths.
Cite this page
  • Author: K.E. Carr
  • Title:
  • Site Name: Quatr.us Study Guides
  • Publisher: Quatr.us
  • Date Published:
Did you find what you needed? Ask your teacher to link to this page so other people can use it too! Send it in and win a Quatr.us "Great Page!" award!
Sign up for more free articles and special offers in Quatr.us' weekly newsletter:
We will never share your e-mail address unless you allow us to do so. View our privacy policy. Easy unsubscribe links are provided in every email.
Comment on This Article

Does your class page honor diversity, celebrate feminism, and support people of color, LBGTQ people, and people with disabilities? Let us know, and we'll send you a Diversity Banner you can proudly display!
Looking for more?
Quatr.us is loading comments...
(Comments will appear after moderation, if they are kind and helpful. Feel free to ask questions, and we'll try to answer them.)
Cite this page
  • Carr, K.E. . Quatr.us Study Guides, . Web. 24 April, 2017