Timeline of mathematical innovation in South and West Asia

Updated on Jan 14, 2024

Edit

Comment

South and West Asia consists of a wide region extending from the present-day country of Turkey in the west to Bangladesh and India in the east.

Timeline

3rd millennium BCE Sexagesimal system of the Sumerians:

2nd millennium BCE Babylonian Pythagorean triples. According to mathematician S. G. Dani, the Babylonian cuneiform tablet Plimpton 322 written ca. 1850 BCE "contains fifteen Pythagorean triples with quite large entries, including (13500, 12709, 18541) which is a primitive triple, indicating, in particular, that there was sophisticated understanding on the topic" in Mesopotamia.

1st millennium BCE Baudhayana Śulba Sūtras Earliest statement of Pythagorean Theorem: According to (Hayashi 2005, p. 363), the Śulba Sūtras contain "the earliest extant verbal expression of the Pythagorean Theorem in the world, although it had already been known to the Old Babylonians."

The diagonal rope (akṣṇayā-rajju) of an oblong (rectangle) produces both which the flank (pārśvamāni) and the horizontal (tiryaṇmānī) <ropes> produce separately."

Since the statement is a sūtra, it is necessarily compressed and what the ropes produce is not elaborated on, but the context clearly implies the square areas constructed on their lengths, and would have been explained so by the teacher to the student.

References

Timeline of mathematical innovation in South and West Asia Wikipedia

(Text) CC BY-SA