Saturday, March 9, 2019

Indian Mathematicians Essay

He was innate(p)(p) on 22na of December 1887 in a sm tout ensemble village of Tanjore district, Madras. He failed in English in Intermediate, so his potpourrial studies were stopped merely his self-study of mathematics continued. He direct a set of 120 theorems to prof Hardy of Cambridge. As a result he invited Ramanujan to England. Ramanujan showed that any stupendous bite can be written as sum of non more than four prime meter. He showed that how to divide the list into cardinal or more squ atomic number 18s or cubes. When Mr .Litlewood came to see Ramanujan in taxi number 1729, Ramanujan said that 1729 is the smallest number which can be written in the form of sum of cubes of two numbers in two ways, i.e. 1729 = 93 + 103 = 13 + 123 since then the number 1729 is called Ramanujans number. In the third century B.C, Archimedes tell that the ratio of circumference of a circle to its diameter is constant. The ratio is nowadays called pi ( ) (the 16th letter in the Greek alp habet series)The largest numbers the Greeks and the Romans used were 106 whereas Hindus used numbers as big as 1053 with special(prenominal) names as early as 5000 B.C. during the Vedic period. Srinivasa Ramanujan Aiyangar was an Indian Mathematician who was born in Erode, India in 1887 on December 22. He was born into a family that was not very well to do. He went to school at the nearby place, Kumbakonam. Ramanujan is very well known for his efforts on continued fractions and series of hypergeometry. When Ramanujan was thirteen, he could compute out Loneys Trigonometry exercises without any help.At the of fourteen, he was able to acquire the theorems of co sinfulness and sine given by L. Euler. outline of Elementary Results in Pure and utilise Mathematics by George Shoobridge Carr was reached by him in 1903. The book helped him a lot and opened refreshing dimensions to him were opened which helped him introduce about 6,165 theorems for himself. As he had no proper and sizea ble books in his reach, he had to figure out on his own the solutions for all the questions. It was in this quest that he discovered many tremendous methods and new algebraic seriesARYABHATAAryabhatta was born in 476A.D in Kusumpur, India.He was the offset printing person to say that Earth is spherical and it revolves around the sun. He gave the blueprint (a + b)2 = a2 + b2 + 2abHe taught the method of solving the following problemsAryabhata wrote many mathematical and astronomic treatises. His chief induce was the Ayrabhatiya which was a compilation of mathematics and astronomy. The name of this treatise was not given to it by Aryabhata but by posterior commentators. A supporter by him called the Bhaskara names it Ashmakatanra meaning treatise from the Ashmaka. This treatise is also referred to as Ayra-shatas-ashta which translates to Aryabhatas 108. This is a very literal name because the treatise did in fact consist of 108 verses.It covers some(prenominal) branches of math ematics such as algebra, arithmetic, plane and spherical trigonometry. Also include in it are theories on continued fractions, sum of power series, sine tables and quadratic equations. Aryabhata worked on the place value system using earn to signify numbers and stating qualities. He also came up with an approximation of pi ( ) and area of a triangle. He introduced the concept of sine in his work called Ardha-jya which is translated as half-chord. SHAKUNTALA DEVIShe was born in 1939In 1980, she gave the product of two, thirteen public figure numbers within 28 seconds, many countries have invited her to demonstrate her grand talent. In Dallas she competed with a computer to see who give the cube go under of 188138517 faster, she won. At university of USA she was asked to give the 23rd root of 91674867692003915809866092758538016248310668014430862240712651642793465704086709659 32792057674808067900227830163549248523803357453169351119035965775473400756818688305 62082101612913284556489 5780158806771. She final resulted in 50seconds. The answer is 546372891. It took a UNIVAC 1108 computer, full one minute (10 seconds more) to confirm that she was right subsequently it was fed with 13000 instructions.BHASKARACHARYAHe was born in a village of Mysore district.He was the first to give that any number divided by 0 gives infinity (00). He has written a lot about zero, surds, surrogate and combination. He wrote,The hundredth part of the circumference of a circle seems to be straight. Our earth is a big sphere and thats why it appears to be flat. He gave the formulae like sin(A B) = sinA.cosB cosA.sinB Niels Henrik Abelborn heroic 5, 1802, island of Finny, near Stavanger, Norwaydied April 6, 1829, Froland), Norwegian mathematician, a pioneer in the development of some(prenominal) branches of modern mathematics. Abels stimulate was a poor Lutheran minister who moved his family to the parish of Gjerstad, near the town of Risr in southeast Norway, soon after Niels He nrik was born. In 1815 Niels entered the cathedral school in Oslo, where his mathematical talent was recognized in 1817 with the arrival of a new mathematics teacher, Bernt Michael Holmboe, who introduced him to the classics in mathematical literature and proposed accredited problems for him to solve. Abel studied the mathematical works of the 17th-century Englishman Sir Isaac Newton, the 18th-century German Leonhard Euler, and his contemporaries the Frenchman Joseph-Louis Lagrange and the German Carl Friedrich Gauss in preparation for his own research.Abels father died in 1820, leaving the family in straitened circumstances, but Holmboe contributed and raised funds that enabled Abel to enter the University of Christiania (Oslo) in 1821. Abel obtained a preliminary degree from the university in 1822 and continued his studies independently with further subsidies obtained by Holmboe. Abels first papers, promulgated in 1823, were on functional equations and integrals he was the firs t person to formulate and solve an integral equation. His friends urged the Norwegian governing body to grant him a fellowship for study in Germany and France. In 1824, objet dart waiting for a royal decree to be issued, he produce at his own expense his proof of the impossibility of solving algebraically the general equation of the fifth degree, which he hoped would bring him recognition.He sent the pamphlet to Gauss, who dismissed it, failing to recognize that the famous problem had and so been settled. Abel spent the winter of 182526 with Norwegian friends in Berlin, where he met August Leopold Crelle, civil engineer and self-taught enthusiast of mathematics, who became his close friend and mentor. With Abels ardent encouragement, Crelle founded the Journal fr die reine und angewandte Mathematik (Journal for Pure and Applied Mathematics), commonly known as Crelles Journal. The first bulk (1826) contains papers by Abel,including a more elaborate version of his work on the qu intic equation. Other papers dealt with equation system, calculus, and theoretical mechanics. Later volumes presented Abels theory of unsubdivided functions, which are complex functions (see complex number) that generalize the regular trigonometric functions. In 1826 Abel went to Paris, then the world centre for mathematics, where he called on the foremost mathematicians and completed a major paper on the theory of integrals of algebraic functions.His central result, known as Abels theorem, is the basis for the later theory of Abelian integrals and Abelian functions, a generalization of elliptic function theory to functions of several variables. However, Abels visit to Paris was unsuccessful in securing him an appointment, and the memoir he submitted to the French Academy of Sciences was lost. Abel returned to Norway heavily in debt and suffering from tuberculosis. He subsisted by tutoring, supplemented by a small grant from the University of Christiania and, beginning in 1828, b y a temporary teaching position. His poverty and ill health did not decrease his production he wrote a great number of papers during this period, principally on equation theory and elliptic functions. Among them are the theory of polynomial equations with Abelian groups.He rapidly developed the theory of elliptic functions in competition with the German Carl Gustav Jacobi. By this time Abels fame had distribute to all mathematical centres, and strong efforts were made to secure a worthy position for him by a group from the French Academy, who addressed tycoon Bernadotte of Norway-Sweden Crelle also worked to secure a professorship for him in Berlin. In the come to pass of 1828 Abel became seriously ill, and his condition deteriorated on a sled trip at Christmastime to visit his fiance at Froland, where he died. The French Academy published his memoir in 1841.

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