Tuesday, March 06, 2007

Brahmagupta and the Void

A small setback today: another letter to the Center for the Study of the Living Deceased has been returned, unopened. How they can simply ignore my research is beyond human understanding. Adding insult to injury, the Sheriff’s Department rejected my request to conduct a seminar for the officers on Tzombi tolerance (this, despite their so-called public relations campaign to promote tolerance in the greater Los Angeles area).

Doubters and racists can turn a blind eye and pretend that the Tzombi race never existed. Meanwhile I am gathering a mountain of evidence which will soon be impossible to ignore.

I cite as an example the account of Sir Arthur Crawley, writing his Lives of the Mathematicians in the early 1800’s, who brings to light a few facts about the Indian mathematician Brahmagupta which might otherwise have been lost to the ages.

Brahmagupta’s major contribution to mathematics was in treating zero as a number in its own right, and in establishing a set of rules for working with negative numbers. Sir Crawley describes a near-fatal rodent attack which had Brahmagupta laid up for a number of days, presumed dead. He writes:

Upon recovery, Brahmagupta refused all nourishment and devoted
the lion’s share of his time in contemplation of the “cow’s udder,”
the large crater near his home town of Ujjain, which exerted a peculiar
fascination on him.


A rare order form—rare because of the scarcity of paper at the time but presumably necessary due to its unusual nature—details Brahmagupta’s request for a “black bowl, the lip of which is a zero and which, when set upright, represents a fortune, and which when set downright, represents a debt.” The bowl has never been discovered and is presumed destroyed, but several artists’ renditions have been created. I regret that I have been unable to secure the permission to use these images on this blog; however I have attempted with my own hand (a hand not untried in illustration) to render them:

1) Fortune (in Positive Numbers):



2) Debt (in Negative Numbers):



3) A View from Above:



Not surpringly, six months after the date of the order slip, Brahmagupta completed his Brahmasphutasiddhinta, or “The Opening of the Universe.”

5 comments:

Anonymous said...

I’m so sorry to hear about your setback. I’m sure K. will be a comfort in your time of sorrow.

Rodrigo Weiss said...

I’m sorry to inform you that Mathilde would never make such an obviously disparaging comment. So thank you for saving me the trouble of disproving your authenticity.

Anonymous said...

This is the girl who eats dirt, right? Mathilde? Stop denying it.

Anonymous said...

I would like to know more about this "Swirling black void," as I once had a dream about such a thing, and recently decided to use it as a part of a zombie story I wrote. Then I find your blog.

RR said...

Brahmagupta's greatest contribution is writing down the rule for our multiplication. We are using Brahmagupta multiplication. Not Egyptian or Greek. Here it is: Translated by H.T Volebrooke, 1817

The multiplicand is repeated like a string for cattle, as often as there are integrant portions in the multiplier and is severelly multiplied by them and the products are added together. It is multiplication. Or the multiplicand is repeated as many times as there are component parts in the multiplier”.
Arithmetic and algebra of Brahmagupta and Bhaskara, Brahmagupta
Translated to English by H.T Colebrooke, 1,817 AD

Brahmagupta then gives an example as well.
235 x 288

2 3 5 2 4 7 0
2 3 5 8 1 8 8 0
2 3 5 8 1 8 8 0

6 7 6 8 0