Information Renaissance - The Indian contribution
Today we are exploring the universe. We are miles apart yet we can talk to each other and see each other in matter of seconds through internet. Do the craziest possible calculations in fraction of seconds with the help of computers. But would it all have been possible without the invention of the number ZERO or the current Number System and Decimal system?
Indian scientists have shaped the course of mathematics and astronomy for the world to marvel upon. One of the very early pioneers in astronomy and mathematics was Aryabhatta who invented the number "ZERO" in 5th century A.D. Many argue the point saying that the concept was known even before Aryabhatta did, by the Greeks. It was just not used appropriately by them. However, the concept of zero has always(even before Aryabhatta invented Zero) been defined as "SHUNYA" (which means "VOID") in Sanskrit and used in India (Sanskrit is an Indian language which is the oldest and the most complete language in the world) . It was denoted as an empty place or a dot earlier. Later Aryabhatt used word KHA which later became ZERO to signify SHUNYA.
Not just this, the modern day number system and decimal systems also finds its origins in India.
Pierre-Simon Laplace, a famous French mathematician and Astrnomer said that "The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its significance and profound importance is no longer appreciated. Its simplicity lies in the way it facilitated calculation and placed arithmetic foremost amongst useful inventions. the importance of this invention is more readily appreciated when one considers that it was beyond the two greatest men of Antiquity, Archimedes and Apollonius. " http://www-groups.dcs.st-andrews.ac.uk/~history/HistTopics/Indian_numerals.html
Aryabhatta also gave close approximation for Pi as 3.1416 (upto 8 decimal places) which is used today. He further gave tables of half chords which are now known as sine tables, along with cosine tables.He was the one who came up with formulas to calculate Volume of a cube or area of a square.
Aryabhatta in his book also gave an algortihm named Aryabhatta algorithm , which today people are trying to use for cryptography applications. Further, Algebra, Geometry (as early as 1000B.C.) and trignometry were also invented by the Indians.
India has provided vital elements of the scientific foundation without which humanity could not have entered this modern age of science and technology.
Aryabhatiya - book on astronomy and mathematics written by Aryabhatta
http://www.gongol.com/research/math/aryabhatiya/