Importance Of Pascal's Triangle

Pascal’s triangle is a triangular arrangement of binomial coefficients. It’s is named after French mathematician Blaise Pascal (1623-1662), in the western world. Despite the fact that pascal’s triangle is named after Blaise pascal, other mathematicians from India, Persia (Iran), China, Germany, and Italy knew about and applied their knowledge of the triangle centuries before he was born. Halayudha a 10th century Indian mathematician and commentator gave the first clear description of Pascal’s triangle in his commentary in an ancient Indian book called Chandah Shastra. Not long after that, a Persian poet and mathematician by the name of Omar Khayyam (1048-1131) and a Chinese mathematician by the name of Yang Hui (1238–1298) had both discussed this mathematical triangle and so the triangle is referred to as Khayyam’s triangle in Iran and Yang Hui’s Triangle in China. In the Western world, Gersonides (1288-1344), a French Jewish philosopher, mathematician and physician calculated the binomial coefficients using a multiplicative formula in the 14th century. Petrus Apianus (1495–1552), a German humanist who was known for his

The Fibonacci sequence is a set of numbers that starts with the numbers one and one or zero and one and progresses based on the rule that each Fibonacci number is equal to the sum of the previous two numbers. The Fibonacci sequence appeared in in Indian mathematics hundreds of years before Fibonacci developed the sequence. In India the clearest explanation and description of the sequence came from the works of Virahanka (c. 700 AD), a prosodist who was known for his work on mathematics. The sequence discussed by Gopala around the year 1135 AD and by Acharya Hemachandra (1089-1172), a poet and polymath, in the year 1150. The Fibonacci sequence first appeared in a book called Liber Abaci published by Fibonacci in