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Srinivasa Ramanujan: The Great Mathematician

Introduction In this essay I will discuss the journey of the great mathematician Srinivasa Ramanujan. I will mention his background including his family, education and early achievements. This essay will certainly contain his mathematical discoveries in different topics and formulas he worked on. Last but not least, I am going to specify if any of his mathematics is used today in different technologies particularly computers. About the Srinivasa Ramanujan: Srinivasa Ramanujan, sometimes described as ‘The World’s Greatest Mathematician’ was born into a poor Indian village, Erode, on the 22nd of December, 1887. He lived in Erode for only a year and then moved with his mother to Kumbakonam, the town where Kuppuswamy Srinivasa Aiyangar (Ramanujan’s father) worked as a clerk in a cloth merchant’s shop. In this town, Ramanujan attended several primary schools where he achieved a distinction in his primary examination which placed him in Town High School in 1898. Interestingly enough, Ramanujan chose to create his own path into mathematics at only the age of 13, he focused on the sum of geometric and arithmetic series. In 1902 Ramanujan created a method for solving quartric equations and just two years later, he explored Euler’s Constant and was able to calculate it to 15 decimal places as well as looking deeply into the series of S(1/n) and Bernoulli numbers. In the same year, Ramanujan gained a scholarship due to his outstanding performance in his studies and therefore was a F.A student at Kumbakonam’s Government College. Throughout the year he got more and more fascinated by the subject and his passion grew for mathematics. Hence he failed all his formal education but mathematics at KGC. This failure had cost Ramanujan depression because neither he nor his parents could afford for his studies and as a result he ran away to Vizagapatnam in 1905 without the acknowledgment of his parents. At that time he decided to focus on the relationship between series and integrals. One year later, Ramanujan returned to study at Pachaiyappa’s College hoping to pass the First Arts examination in order he gets into the University of Madras. However he failed all but mathematics, again, because he paid all his focus towards mathematics at that time. Just like any random person, Ramanujan had a source of inspiration. He was influenced by a famous book of G.S.Carr, A Synopsis of Elementary Results Pure Mathematics, which was basically a condensation of 5000 algebraic, calculus, trigonometric and analytical geometric equations of the late 19th century. The book significantly affected his mathematical work. In 1908 Ramanujan began experiencing health problems while studying continuous fractions and divergent series but did not take any actions; instead he got married the following year to his nine year old distant relative, S. Janaki Ammal. However, she moved to live with him at the age of 15. In 1910 Ramanujan’s hard work got paid off as he was recognised by the Collector of Nellore, Diwan Bahadur Ranchandra Rao, who was generous enough to financially help Ramanujan. Amazingly enough, Ramanujan astonishingly published his first paper based on Bernoulli numbers in ‘Journal of the Indian Mathematical Society’. This major achievement enabled him to work as a clerk at Madras Port Trust in 1912. Ramanujan earned 30 rupees a month which was enough for him and his family. At that stage, Ramanujan got popular to various professors throughout Madras who wanted to take his talent and intelligence up to a higher point. C.L.T Griffith was the first to help Ramanujan. Griffith who graduated from London University College was a professor in Civil Engineering and had written to M.J.M. Hill, a Mathematics professor, discussing about Ramanujan’s brilliance including some of his work. However Hill’s respond wasn’t very helpful. Similarly there were another five important mathematicians at that time including Professors Baker and Hobson who were Cambridge mathematicians who did not react towards Ramanujan as much as Mr. G.H. Hardy. Godfrey H Hardy, also a Cambridge mathematician, supported Ramanujan through a number of letters. In the same year, 1913, Ramanujan was offered a two-year funded scholarship from the University of Madras of 75 rupees per month. The following year Hardy wished for Ramanujan to receive better financial support therefore he invited Ramanujan to move for Trinity College, Cambridge. Luckily while Ramanujan was deciding on the offer, he met E.H. Neville, a student at Trinity College who was in Madras to attend a lecture. The decision was hard-hitting for his family but they finally agreed. Ramanujan set off to England on the 17th of March, 1914 and stayed at Neville’s house on his arrival for the first few weeks. For some reason he moved into Trinity College and remained in his rooms. Unfortunately Ramanujan faced hard times since World War One started in the same year and therefore there were few Cambridge mathematicians, who left for war service, and few students. Ramanujan was a vegetarian and under these serious conditions it was extremely difficult to obtain vegetarian food outside London. It was stressful to live in England during that period yet Ramanujan and Hardy got together almost on a daily basis. Still with the stressful and pressurising war, Ramanujan graduated from Cambridge (1916) in hold of a Bachelor of Science for Research on Highly Composite Numbers. A year of satisfaction later, Ramanujan was diagnosed with Tuberculosis and remained in a number nursing homes; Cambridge, Wells and in Matlock (Derbyshire). He was then transferred to Fitzroy House in London as it was noticed that his health was slightly progressing. Some argued that he being elected as ‘Fellow of the Cambridge Philosophical Society’, ‘Fellow of the Royal Society of London’ and ‘Fellow of Trinity College’ in 1918 was the key to his health improvements. Ramanujan returned to home country, India, on 13th of March 1919. He received best health care throughout several places but unfortunately his health was worsening. During Ramanujan’s battle with his health he did not give up his passion, instead he continued his work in mathematics. The battle didn’t last long, Ramanujan passed away on 26th of April 1920. One of Ramanujan’s famous quotes ‘An equation means nothing to me unless it expresses a thought of God’. During Ramanujan’s mathematical journey, he agreed to share his work with the public through journals. However after his death, Berndt and his colleagues took part in making use of Ramanujan’s untidy notebooks and therefore it took them a lot of time to ensure that the results they come up with are tested to meet Ramanujan’s results. Ramanujan produced an astonishing 4000 theorems in different topics including number theory, combinatorics and algebra. He focused on several specific areas from hyper geometric

Languages homework help

Languages homework help. Writing related to business and public administration including documented research reports, summaries and analytical papers for 5 pages.FilmMargin Call. Dir. J. C. Chandor. Perf. Kevin Spacey. Roadside Attractions, 2011. DVD.Selected Reviews”…relentless in its honesty and shrewd in its insights and techniques… an extraordinary feat of filmmaking” -A. O. Scott, New York Times”Margin Call is one of the strongest American films of the year and easily the best Wall Street movie ever made.” -David Denby, New Yorker”… this confident, crisply made piece of work does an expert job of bringing us inside the inner sanctum of a top Wall Street investment bank…” -Kenneth Turan, Los Angeles TimesÿAssignmentYour assignment is to write a paper on Margin Call.Margin Call”takes place over a 36-hour period at a large Wall Street investment bank and highlights the initial stages of the financial crisis of 2007?2008… Although the film does not depict any real Wall Street firm, or similar corporate action during the 2008 financial crisis, Goldman Sachs similarly moved early to hedge and reduce its position in mortgage-backed securities, at the urging of two employees. Other firms like Lehman Brothers and Bear Stearns found themselves similarly and catastrophically over-leveraged in mortgage-backed securities. They scrambled, ultimately unsuccessfully, to manage the financial and public panic that ensued when their problems became apparent and the global financial markets plunged as a result.” (Margin Call (film))After Peter Sullivan informs Will Emerson and Sam Rogers about the potentially catastrophic risks posed by the firm’s current holdings in mortgage-backed securities, they meet with Jared Cohen, Sarah Robertson, and Ramesh Shah.ÿPaper 1For the paper, discuss the actions of the main characters in the film. What were their motivations? Their options? How did their “world view” influence their decision-making? Do you agree with their choices or not, and why? Analyze their predicament and discuss the merits of their actions.ÿPaper 2For this paper, discuss how the decisions made by the main characters influence the “real world.” What did their actions do to the other Wall Street firms? How did they influence domestic and global financial markets? What effect did they have on the valuations of other securities? How did they influence lending, mortgages, and retirement accounts? And finally, what effect did they have on capital allocation and formation?Works Cited”Margin Call (film).” Wikipedia. Wikimedia Foundation, 20 Sept. 2012. Web. 20 Sept. 2012. .ÿCast? Kevin Spacey as Sam Rogers, Investment Floor Head? Paul Bettany as Will Emerson, Head of Trading? Jeremy Irons as John Tuld, CEO and Chairman of the Board? Zachary Quinto as Peter Sullivan, Senior Risk Analyst? Penn Badgley as Seth Bregman, Junior Risk Analyst? Simon Baker as Jared Cohen, Investment Division Head? Stanley Tucci as Eric Dale, Former Head of Risk Management? Demi Moore as Sarah Robertson, Chief Risk Management Officer? Aasif Mandvi as Ramesh Shah, Legal CounselCitationsIf you include any outside material, you must include proper in-text citations and a properly formatted Works Cited section.MLA FormattingLanguages homework help

Inflation and Analyses of Monetary Policies Analysis

essay writing help Inflation and Analyses of Monetary Policies Analysis.

This assignment will introduce students to the U.S. Department of Labor’s Bureau of Labor Statistics (BLS) data and provide students with the skills to calculate inflation and interpret the Consumer Price Index (CPI). Note: The BLS is the primary source of information on inflation, but their data is re-posted in other sources, such as the St. Louis Federal Reserve FRED site, among others. Assignment Steps Use an internet search or the University Library to locate information on the Consumer Price Index (CPI). Internet sites you might find useful include the Bureau of Labor Statistics (BLS) and the Federal Reserve of St. Louis FRED web site although you are allowed to use other sources. Develop a minimum 700-word analysis of inflation by including the following:Choose a product or service you currently consume/use, such as apparel or educational services, that is included in the CPI’s “market basket.” Find the annual CPI index numbers for your chosen good or service for the years 1995, 2005, 2010, and 2015. Enter those index numbers in an Excel® file and calculate the percent change (inflation rates) in those index numbers from 1995 to 2005, from 1995 to 2010, and from 1995 to 2015. Analyze the trends in overall inflation over the last five years and whether your income has kept pace with inflation. How has inflation over the last five years affected you and/or your family?Discuss how a business manager, such as a human resources manager, might use CPI statistics. Cite a minimum of three scholarly, peer-reviewed references. Format your paper consistent with APA guidelines.
Inflation and Analyses of Monetary Policies Analysis

GEO 217 University Of Minnesota Middle Latitude Cyclones Questions

GEO 217 University Of Minnesota Middle Latitude Cyclones Questions.

I’m working on a geography writing question and need support to help me study.

Hi, This is Geography Weather Assignment Writing Questions. Please follow the instructions provided in the word documents CAREFULLY! Please write each answer with an essay (Minimum 4 pages single-spaced TOTAL). Citing from external sources is NOT allowed, only from the documents provided via the link please. The attachments are all in the Google Drive Link including the slides, the book, also citing from NOAA website is okay. APA style please. Due Date is Monday 5/03 11:59PM CDT.…
GEO 217 University Of Minnesota Middle Latitude Cyclones Questions

Need history help with an analysis on the Jackie Robinson book

Need history help with an analysis on the Jackie Robinson book.

According to author JM Wilson, why was Jackie Robinson’s career as the first African American Major League baseball player pivotal in the overall black struggle for equality in the United States in post-World War II America? How did some white institutions such as Major League Baseball adapt to the African American demand for equality in the post-war years? Why were many ball clubs at the time unwilling to integrate? Finally did the integration of professional sports help the overall civil rights struggle in the United States. Explain how and why. Be sure to cite specific examples from the book to support your observations. Your essays are to be between 4-5 pages, typed, double-spaced. You can of course write more than five pages but four pages is the absolute minimum.
Need history help with an analysis on the Jackie Robinson book

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