Episode Details

The Gupta Empire reaches its scientific zenith as we meet one of the greatest mathematicians of Late Antiquity.

Aryabhata (476–550 CE) helped transform astronomy and mathematics in India through a remarkable combination of elegant algorithms and practical computation. In this episode we explore his Aryabhatiya, from recursive square and cube root algorithms to the famous Kuttaka ("Pulveriser") method for solving indeterminate equations. Along the way we investigate his astonishingly accurate value of π, some of the earliest trigonometric tables, numerical methods that hint at calculus over a thousand years before Newton, and his important role in the long, collective story of the invention of zero.

We also take a tour through the Gupta Empire, discuss why astronomy drove so much mathematical innovation, and ask whether Aryabhata deserves his reputation as one of history's greatest mathematicians.

As always, there are terrible puns, historical tangents, and probably more discussion of Huns than anyone expected.

📚 Further Reading

• Walter Eugene Clark (1930), The Aryabhatiya of Aryabhata (English Translation)

https://www.wilbourhall.org/pdfs/aryabhatiyaenglish.pdf

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The music was-
"Danse Macabre - Finale"
Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0
http://creativecommons.org/licenses/by/3.0/

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#Mathematics #MathsHistory #HistoryOfMathematics #Aryabhata #AncientIndia #IndianMathematics #Astronomy #HistoryPodcast #MathsPodcast #Pi #Zero #Trigonometry #Algorithms #ScienceHistory #STEM

Keywords

Aryabhata, Aryabhata biography, Aryabhata mathematics, Aryabhatiya, ancient mathematics, history of mathematics, Indian mathematics, Gupta Empire, Nalanda University, astronomy history, mathematical astronomy, origins of zero, history of zero, invention of zero, pi approximation, history of pi, square root algorithm, cube root algorithm, Kuttaka algorithm, pulveriser algorithm, indeterminate equations, Diophantine equations, trigonometry, sine tables, recursive algorithms, numerical methods, ancient science, mathematics podcast, history podcast, Benjamin Cornish, The Mathematicians Podcast, STEM education, famous mathematicians, mathematical history, ancient India, classical India, Gupta mathematics, history of astronomy.