Indian Mathematical Tradition
The most consistently underrepresented major mathematical tradition — now given the equal depth it deserves.
Scope
Sulba Sutras (c. 800–500 BCE); Pingala's Chandaḥśāstra (c. 3rd–2nd century BCE); classical period (Aryabhata, Brahmagupta, Bhaskara I and II); Kerala school (14th–16th century CE); modern Indian mathematics (Ramanujan, Harish-Chandra, and contemporaries).
Domain 13 is the most important domain for establishing that this codex is different. Wolfram MathWorld, Wikipedia, Encyclopedia of Mathematics — all treat Indian mathematics as a footnote. This codex gives it a dedicated domain. The Kerala school's infinite series work alone represents one of the greatest un-credited discoveries in the history of mathematics, and this codex documents it with the rigour it deserves.
Entries in this domain
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Aryabhatiya
Live
The 499 CE Sanskrit treatise containing the earliest known explicit place-value system, sine tables, and a heliocentric model — over 1,000 years before their European equivalents.
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Sulba Sutras
Pending
The Vedic-era geometric texts (c. 800–500 BCE) containing the earliest known statement of what is now called the Pythagorean theorem.
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Brahmagupta's Rules for Zero
Pending
The first written definition of zero as a number and the rules for arithmetic with it, from the Brāhmasphuṭasiddhānta (628 CE).
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Kerala School of Mathematics and Astronomy
Pending
The 14th–16th century Indian tradition that developed infinite series for trigonometric functions 250 years before Newton and Leibniz.