9 votes

Did Indian astronomers realize the sphericity of the earth independently of the Greeks?

(I started writing this answer from memory, but on a second look at some sources it turns out to answer the question for the statement of a rotating earth rather than that of a spherical earth... but ...
ShreevatsaR's user avatar
9 votes
Accepted

Why do South Asians often use "lakhs" and "crores" instead of "millions"? What is the historical origin of this system?

What is the origin of this special numbering system? Was there a more practical reason for having a special numbering system for South Asia? The use of the terms "lakhs" and "crores&...
Big Brother's user avatar
  • 2,157
6 votes

Yuktibhāṣā, 16th century, first modern proof of $\frac{\pi}4=\int_0^1 \frac{dt}{1+t^2}=\sum_{n\ge 0} \frac{(-1)^n}{2n+1}$

The Yuktibhāṣā is one of the texts we have available from mathematicians working in Kerala between the 14th and 16th centuries. This is a text in the Malayalam language, though a later (poor) ...
ShreevatsaR's user avatar
6 votes
Accepted

When Indian mathematicians learn of Euclid's Elements?

According to The Hindu Business Line, quoting the scholar TA Sarasvati Amma: It was only in the 18th century, nearly 2,000 years after active contact of Indians with the Greeks, that Euclid’s ...
nwr's user avatar
  • 6,849
4 votes

Why did India miss the Great Revolution in Maths and Science?

You make a fair amount of valid points however you need to see the progression of what was happening at the time. If we assume that Indian math developed independently you'd see they were at the ...
PhD's user avatar
  • 649
3 votes
Accepted

Did Baudhayan publish Pythagoras theorem before Pythagoras?

The textbook you quoted is that of high school and probably written by high school/college teachers. Most of these side notes are often traditional hearsay. As a good scientist of future, do not trust ...
AChem's user avatar
  • 4,049
3 votes

What is the intuition behind Brahmagupta’s rule for multiplying negative numbers?

The interpretation is derived from "stretching" the natural interpretation of product as repeated sum. $3 \times 2 = 6$ because $3 \times 2 = 3+3$. The same for $(−3) \times 2 = (−3) + (−3) = −6$. ...
Mauro ALLEGRANZA's user avatar
2 votes

Yuktibhāṣā, 16th century, first modern proof of $\frac{\pi}4=\int_0^1 \frac{dt}{1+t^2}=\sum_{n\ge 0} \frac{(-1)^n}{2n+1}$

Since the Yuktibhasa (The Rationale) was written in Malayam in 1530, by Jyesthadeva, a Keralan astronomer, it will be easily translatable into English. The question is finding someone to finance such ...
Mozibur Ullah's user avatar
1 vote

What is the Expected Durability/Digitization Efforts of Pre-Hellenistic works that are made from Materials like Papyrus, Bamboo, Bark, Stone, e.t.c?

I ended up emailing the Bodleian Library at Oxford about how they are preserving the Bakhshali manuscript. Here is their reply to my email (I retracted names for privacy reasons): Dear [Retracted], ...
Miss Mae's user avatar
  • 121
1 vote

Is it possible to narrow down possible dates for the following eclipse pattern?

Since you write that your main problem is conversion of the dates from Gregorian to Julian calendar, let me give reference for algorithms. Jean Meus, Astronomical algorithms, William-Bell Inc., ...
Alexandre Eremenko's user avatar

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