Difference between revisions of "Manava"

From Hindupedia, the Hindu Encyclopedia
m (relink)
 
(3 intermediate revisions by one other user not shown)
Line 1: Line 1:
 
<small>By J J O'Connor and E F Robertson</small>
 
<small>By J J O'Connor and E F Robertson</small>
  
Manava was a mathematician who lived in India around 750 BC. Very little is known about Manava.  He was the author of one of the Sulbasutras, the Manava Sulbasutra authored after the Baudhayana sulbasutra.  
+
Manava was [[a]] mathematician who lived in what is now modern-India circa 750 BC. Very little is known about him except that he was the author of the Manava Sulbasutra which post-dates the [[Baudhayana]] sulbasutra.  
  
The mathematics given in the Sulbasutras enables accurate construction of altars needed for sacrifices. It is clear from the writing that Manava, as well as being a priest, must have been a skilled craftsman.
+
The [[mathematics]] given in the Sulbasutra enables accurate construction of altars needed for sacrifices and implies that he was both [[a]] priest and a skilled craftsman.
  
Manava's Sulbasutra, like all the Sulbasutras, contained approximate constructions of circles from rectangles, and squares from circles, which can be thought of as giving approximate values of π (pi). There appear therefore different values of π throughout the Sulbasutra, essentially every construction involving circles leads to a different such approximation. Verses 11.14 and 11.15 of Manava's work give π = 25/8 = 3.125.
+
Manava's Sulbasutra, like all the Sulbasutras, contained approximate constructions of circles from rectangles, and squares from circles, which can be thought of as giving approximate values of π (pi). There appear therefore different values of π throughout the Sulbasutra, essentially every construction involving circles leads to a different such approximation. E.g., 11.14 and 11.15 of Manava's work give π = 25/8 = 3.125.
  
  
 
==References==
 
==References==
 
 
* R C Gupta, New Indian values of p from the Manava sulba sutra, Centaurus 31 (2) (1988), 114-125.
 
* R C Gupta, New Indian values of p from the Manava sulba sutra, Centaurus 31 (2) (1988), 114-125.
 
* R P Kulkarni, The value of π known to Sulbasutrakaras, Indian J. Hist. Sci. 13 (1) (1978), 32-41.
 
* R P Kulkarni, The value of π known to Sulbasutrakaras, Indian J. Hist. Sci. 13 (1) (1978), 32-41.

Latest revision as of 19:16, 29 December 2013

By J J O'Connor and E F Robertson

Manava was a mathematician who lived in what is now modern-India circa 750 BC. Very little is known about him except that he was the author of the Manava Sulbasutra which post-dates the Baudhayana sulbasutra.

The mathematics given in the Sulbasutra enables accurate construction of altars needed for sacrifices and implies that he was both a priest and a skilled craftsman.

Manava's Sulbasutra, like all the Sulbasutras, contained approximate constructions of circles from rectangles, and squares from circles, which can be thought of as giving approximate values of π (pi). There appear therefore different values of π throughout the Sulbasutra, essentially every construction involving circles leads to a different such approximation. E.g., 11.14 and 11.15 of Manava's work give π = 25/8 = 3.125.


References

  • R C Gupta, New Indian values of p from the Manava sulba sutra, Centaurus 31 (2) (1988), 114-125.
  • R P Kulkarni, The value of π known to Sulbasutrakaras, Indian J. Hist. Sci. 13 (1) (1978), 32-41.