Friday, August 30, 2013

Astronomy in 17th century India



Astronomy was used not only for working out the calender, the dates of the eclipses and for the determination of time but also for casting horoscopes for astrological purposes. Firoza Shah Tughlaq (1351-88) established an observatory where a special type of astrolabe and water clock were set up. The astrolabes made in India during the 17th century were no doubt an achievement of metal and wood-workers and of mathematical arts. Also, a high degree of accuracy was achieved in circular gradation, which affected all measurements.
The most important stride in the field was made at the beginning ofthe eighteenth century. Raja Jai Singh, under the patronage of Emperor Muhammad Shah, established observatories at a number of places, such as Delhi, Jaipur, Ujjain, Benaras and Mathura. He paid special attention to the instruments for fixing time and determining latitudes.
A familiarity with the knowledge of specific gravity and laws of motion, based on classic sources, was shown by Abu’l Fazl (d. 1603). The application of measures of specific gravity were given a practical turn by Akbar when he sought to determine the
quality of timber.

Golden Age of Incredible India



TAXILA:  centre for learning , for specialised training. The learned grammarian Panini taught in Taxila around the 4th century BC. Atreya taught medicine around the 6th century B.C.  Arithmetic  was well developed. Numbers in multiples of 10 going up to as high powers of 10, as one million million were known and used.  Sulvasutras contain several instances of addition, substraction, multiplication,division and squaring of fractions. Quadratic equations, indeterminate equations, permutations and combinations also appear in Sulvasutras.
By the 5th BC., the Indian metal workers had attained a high degree of perfection in the techniques of producing iron and steel.
By 6th century B.C. , Ayurvedic  system of medicines was taught in Taxila.  The origin of Caraka-Samhita, and the surgical text Susruta-Samhita, is generally estimated to bearound 600 B.C.
Jaina mathematicians made great contributions overalong period between 500 B.C. and 500 A.D.
Gupta period emerged out as a powerful school of Arithmetic, algebra and numerals. The formulations became the basis for astronomical calculations to the extent that the great astronomers of the period such as Brahmagupta, Varahamihira and Aryabhatta were known as mathematicians.
Works, such as Sthananga-Sutra (1st century B.C.), Suryaprajnapti, Bhadrabahavi Samhita (300 B.C.), Ksetrasamasa by Umasvati (150 A.D.) and others deal at great length with mensuration, surds, fractions, permutations and combinations, geometry, law of indices, classification of numbers etc.
As a distinct branch of mathematics, algebra appeared from about the time of Brahmaputra ( 598 A.D.) Indian algebraists,possibly for thefirsttime in history,used abbreviations of names of colours orgems, as symbols of unknown quantities and operation like powers, roots etc. They distinguised nEgative quantities by a dot.
The KHAROSTI numerals are found in Asokan, Saka, Parthian and Kushana inscriptions of the period from the 4th century B.C. to the 2nd century A.D.
Present day numbers
22
74
122
274
Can be witten
 as: 
2+20
4+70
2+ 20+ 100
4+ 70+ 200
Kharosthi 
Symbol    
I I 3
X 7 3 3 3
I I 3            I
X 7 3 3 3     l l

The decimal or zero system was first found in a Gujratgrant-plate inscription of 595 A.D. and later in other stone inscriptions from Gwalior, Mahipala, Bauka

Wednesday, December 19, 2012

The Kushan Empire


The Kushan Empire was build under Kujula Kadphises, it was an empire in South Asia formed nearly in 1st century AD. The Kushans spread fromthe Kabul river valley to defeat other Central Asian Tribes
 and reached their peak under the 
Buddhist Emperor Kanishka (127-151) 
whose power was spread from Turfan in the Tarim Basin to Pataliputra in the Gangetic plane.

Under Kaniska I (flourished 1st century ce) and his successors, the Kushan kingdom reached its peak. It was acknowledged as one of the four great Asian powers of its time (the others being China, Rome, and Parthia). The Kushans were instrumental in spreading Buddhism in Central Asia and China and in developing Mahayana Buddhism and the Gandhara and Mathura schools of art.
The Kushans became affluent through trade, particularly with Rome, as their large issues of gold coins show. These coins, which exhibit the figures of Greek, Roman, Iranian, Hindu, and Buddhist deities and bear inscriptions in adapted Greek letters, are witness to the toleration and to the syncretism in religion and art that prevailed in the Kushan empire. After the rise of the Sāsānian dynasty in Iran and of local powers in northern India, Kushan rule declined.