My Mathematician Research Project! ~Srinivasa Ramanujan~
Srīnivāsa Aiyangār Rāmānujan FRS, better known as Srinivasa Iyengar Ramanujan (22 December 1887 – 26 April 1920) was an Indian Mathematician and autodidact ( a person who is self taught) who, with almost no formal training in pure mathematics made substantial contributions to mathematical analysis, number theory, infinite series and continued fractions. Ramanujan's talent was said by the English mathematician G.H. Hardy to be in the same league as legendary mathematicians such as Euler, Gauss, Newton and Archimedes. Born in Erode, Tamil Nadu, India, Ramanujan first encountered formal mathematics at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry (the branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles, and the calculations based on them) written by S. L. Loney. He mastered them by age 12, and even discovered theorems of his own. He demonstrated unusual mathematical skills at school, winning accolades and awards. By 17, Ramanujan conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue independent mathematical research, working as a clerk in the Accountant-General's office at the Madras Port Trust Office to support himself. In 1912–1913, he sent samples of his theorems to three academics at the University of Cambridge. Only Hardy recognized the brilliance of his work, subsequently inviting Ramanujan to visit and work with him at Cambridge. He became a Fellow of the Royal Society and a Fellow of Trinity College, Cambridge, dying of illness, malnutrition and possibly liver infection in 1920 at the age of 32. During his short lifetime, Ramanujan independently compiled nearly 3900 results (mostly identities and equations). Although a small number of these results were actually false and some were already known, most of his claims have now been proven correct. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. However, the mathematical mainstream has been rather slow in absorbing some of his major discoveries. Recently, Ramanujan's formulae have found applications in crystallography (the science dealing with crystallization and the forms and structure of crystals) and string theory (a developing theory in particle physics that attempts to reconcile quantum mathematics and general relativity). The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work. Spring, Narayana Iyer, Ramachandra Rao and E. W. Middlemast tried to present Ramanujan's work to British mathematicians. One mathematician, M. J. M. Hill of University College London, commented that Ramanujan's papers were riddled with holes. He said that although Ramanujan had "a taste for mathematics, and some ability", he lacked the educational background and foundation needed to be accepted by mathematicians. Although Hill did not offer to take Ramanujan on as a student, he did give thorough and serious professional advice on his work. With the help of friends, Ramanujan drafted letters to leading mathematicians at Cambridge University. The first two professors, H. F. Baker and E. W. Hobson, returned Ramanujan's papers without comment. On 16 January 1913, Ramanujan wrote to G.H. Hardy. Coming from an unknown mathematician, the nine pages of mathematical wonder made Hardy initially view Ramanujan's manuscripts as a possible "fraud". Hardy recognized some of Ramanujan's formulae but others "seemed scarcely possible to believe". As you can see, Srinivasa Ramanujan was a very successful man and he had a big effect on math back then, and today. He has made a big impact on math and his experiences and tests have proven many new math theories and lessons. :D
One of Srinivasa's 1st problems in his notebook.
He waited for a solution to be offered in three issues, over six months, but failed to receive any. At the end, Ramanujan supplied the solution to the problem himself. On page 105 of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem. Nested Radicals-
In algebra, a nested radical is a radical expression that contains another radical expression.
Ramanujan's home on Sarangapani Street, Kumbakonam. Ramanujan was born on 22 December 1887 in the city Erode, Tamil Nadu, India, at the residence of his maternal grandparents. His father, K. Srinivasa Iyengar worked as a clerk in a sari shop and hailed from the district of Thanjavur. His mother, Komalatammal or Komal Ammal was a housewife and also sang at a local temple.They lived in Sarangapani Street in a traditional home in the town of Kumbakonam. The family home is now a museum. When Ramanujan was a year and a half old, his mother gave birth to a son named Sadagopan, who died less than three months later. In December 1889, Ramanujan had smallpox and recovered, unlike thousands in theThanjavur district who died from the disease that year. He moved with his mother to her parents' house in Kanchipuram, near Madras (now Chennai). In November 1891, and again in 1894, his mother gave birth, but both children died in infancy.
He waited for a solution to be offered in three issues, over six months, but failed to receive any. At the end, Ramanujan supplied the solution to the problem himself. On page 105 of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem. Nested Radicals-
In algebra, a nested radical is a radical expression that contains another radical expression.
~Srinivasa Ramanujan~
Srīnivāsa Aiyangār Rāmānujan FRS, better known as Srinivasa Iyengar Ramanujan (22 December 1887 – 26 April 1920) was an Indian Mathematician and autodidact ( a person who is self taught) who, with almost no formal training in pure mathematics made substantial contributions to mathematical analysis, number theory, infinite series and continued fractions. Ramanujan's talent was said by the English mathematician G.H. Hardy to be in the same league as legendary mathematicians such as Euler, Gauss, Newton and Archimedes.
Born in Erode, Tamil Nadu, India, Ramanujan first encountered formal mathematics at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry (the branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles, and the calculations based on them) written by S. L. Loney. He mastered them by age 12, and even discovered theorems of his own. He demonstrated unusual mathematical skills at school, winning accolades and awards. By 17, Ramanujan conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue independent mathematical research, working as a clerk in the Accountant-General's office at the Madras Port Trust Office to support himself. In 1912–1913, he sent samples of his theorems to three academics at the University of Cambridge. Only Hardy recognized the brilliance of his work, subsequently inviting Ramanujan to visit and work with him at Cambridge. He became a Fellow of the Royal Society and a Fellow of Trinity College, Cambridge, dying of illness, malnutrition and possibly liver infection in 1920 at the age of 32.
During his short lifetime, Ramanujan independently compiled nearly 3900 results (mostly identities and equations). Although a small number of these results were actually false and some were already known, most of his claims have now been proven correct. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. However, the mathematical mainstream has been rather slow in absorbing some of his major discoveries. Recently, Ramanujan's formulae have found applications in crystallography (the science dealing with crystallization and the forms and structure of crystals) and string theory (a developing theory in particle physics that attempts to reconcile quantum mathematics and general relativity). The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work.
Spring, Narayana Iyer, Ramachandra Rao and E. W. Middlemast tried to present Ramanujan's work to British mathematicians. One mathematician, M. J. M. Hill of University College London, commented that Ramanujan's papers were riddled with holes. He said that although Ramanujan had "a taste for mathematics, and some ability", he lacked the educational background and foundation needed to be accepted by mathematicians. Although Hill did not offer to take Ramanujan on as a student, he did give thorough and serious professional advice on his work. With the help of friends, Ramanujan drafted letters to leading mathematicians at Cambridge University.
The first two professors, H. F. Baker and E. W. Hobson, returned Ramanujan's papers without comment. On 16 January 1913, Ramanujan wrote to G.H. Hardy. Coming from an unknown mathematician, the nine pages of mathematical wonder made Hardy initially view Ramanujan's manuscripts as a possible "fraud". Hardy recognized some of Ramanujan's formulae but others "seemed scarcely possible to believe".
As you can see, Srinivasa Ramanujan was a very successful man and he had a big effect on math back then, and today. He has made a big impact on math and his experiences and tests have proven many new math theories and lessons. :D
One of Srinivasa's 1st problems in his notebook.
He waited for a solution to be offered in three issues, over six months, but failed to receive any. At the end, Ramanujan supplied the solution to the problem himself. On page 105 of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem.
Nested Radicals-
Ramanujan's home on Sarangapani Street, Kumbakonam.
Ramanujan was born on 22 December 1887 in the city Erode, Tamil Nadu, India, at the residence of his maternal grandparents. His father, K. Srinivasa Iyengar worked as a clerk in a sari shop and hailed from the district of Thanjavur. His mother, Komalatammal or Komal Ammal was a housewife and also sang at a local temple.They lived in Sarangapani Street in a traditional home in the town of Kumbakonam. The family home is now a museum. When Ramanujan was a year and a half old, his mother gave birth to a son named Sadagopan, who died less than three months later. In December 1889, Ramanujan had smallpox and recovered, unlike thousands in theThanjavur district who died from the disease that year. He moved with his mother to her parents' house in Kanchipuram, near Madras (now Chennai). In November 1891, and again in 1894, his mother gave birth, but both children died in infancy.
He waited for a solution to be offered in three issues, over six months, but failed to receive any. At the end, Ramanujan supplied the solution to the problem himself. On page 105 of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem.
Nested Radicals-
.