Math exploration of Pascals Triangle Essay Example | Topics and Well Written Essays - 1750 words

Math exploration of Pascals Triangle - Essay ExampleAs a mathematics disciple and an astronomer, he made immense contributions to the revision of the Chongtian calendar in 1023 while he also served in the Imperial Astronomical Bureau in the mediate of the 11th century. However, he is mostly remembered because he devised a method of extracting the solutions of solutions of degrees higher than three extracts. The method is as to the Chia-Hsien triangle which contains binomial coefficients of binomial expressions up to the sixth degree. This triangle is similar to the Pascals triangle that was later discovered in Europe.In India, the expansion of binomial expressions was not well researched and studied. However, Brahmagupta in 628 A.D mighty expanded (a + b )3. It was one level higher that what Eucid, a Greek mathematician, did. Although his work may not be the greatest, it found its way to Baghdad afterward several decades and elicited some curiosity about binomial coefficients am ongst mathematicians in the Middle East (Bassarear, pp178-212)Amongst those who used the work of Brahmagupta as a basis of more than research in the Middle East is Al-Din Al-Tusi. Al-Din Al-Tusi works were published in 1265 and Al-Kashi whose work titled Key of Arithmetic contained the triangle up to the ninth degree.In Europe, several authors discussed ideas with respect to expansion of binomials and combinatorial problems (Cullinane, pp.145-178). A Spanish mathematician, Rabbi Ben Ezra in 1140 discovered the seventh row of the Pascals triangle. Moreover, this was in relation to the nous of taking into consideration the sun and the corresponding six planets, which were known at that time in combinations of a single element from each one period, which is repeated each time.Fibonacci in 122 independently wrote down the solutions of the binomial equation of the third degree although it was known in India and Middle East (Birken & Anne, pp.124-167). Fibonacci was also the first Euro pean