Eric Harold Neville, known as E. H. Neville, was an English mathematician, and is the one who convinced Srinivasa Ramanujan to come to England, Ramanujan independently compiled nearly how many results, mostly identities and equations?
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Eric Harold Neville Eric Harold Neville, known as E. H. Neville (1 January 1889 London, England – 22 August 1961 Reading, Berkshire, England) was an English mathematician. A heavily fictionalised portrayal of his life is rendered in the 2007 novel "The Indian Clerk". He is the one who convinced Srinivasa Ramanujan to come to England.
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Srinivasa Ramanujan During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations). Many were completely novel; his original and highly unconventional results, such as the Ramanujan prime, the Ramanujan theta function, partition formulae, and mock theta functions, have opened entire new areas of work and inspired a vast amount of further research. Nearly all his claims have now been proven correct. "The Ramanujan Journal", a peer-reviewed scientific journal, was established to publish work in all areas of mathematics influenced by Ramanujan, and his notebooks - containing summaries of his published and unpublished results - have been analyzed and studied for decades since his death as a source of new mathematical ideas. As late as 2011 and again in 2012, researchers continued to discover that mere comments in his writings about "simple properties" and "similar outputs" for certain findings were themselves profound and subtle number theory results that remained unsuspected until nearly a century after his death and which relied on work published in 2006. He became one of the youngest Fellows of the Royal Society and only the second Indian member, and the first Indian to be elected a Fellow of Trinity College, Cambridge. Of his original letters, Hardy stated that a 'single look' was enough to show they could only have been written by a mathematician of the highest calibre, comparing Ramanujan to other mathematical geniuses such as Euler and Jacobi.
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Vaughan's identity In mathematics, Vaughan's identity is an identity found by that can be used to simplify Vinogradov's work on trigonometric sums. It can be used to estimate sums of the form
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Lawrence Rooke Lawrence Rooke (also Laurence) (1622–26 June 1662) was an English astronomer and mathematician. He was also one of the founders of the Royal Society, although he died as it was being formally constituted.
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Isaac Newton in popular culture Isaac Newton was an English mathematician, natural philosopher, theologian, alchemist and one of the most influential scientists in human history. His "Philosophiae Naturalis Principia Mathematica" is considered to be one of the most influential book in the history of science, laying the groundwork for most of classical mechanics by describing universal gravitation and the three laws of motion. In mathematics, Newton shares the credit with Gottfried Leibniz for the development of the differential and integral calculus.
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R. Ranga Rao Ramaswamy Ranga Rao is a prominent Indian mathematician. He finished his Ph.D. under the supervision of C.R. Rao at ISI, Calcutta. He was one of the "famous four" students of Rao: (the others were K. R. Parthasarathy, Veeravalli S. Varadarajan, and S. R. Srinivasa Varadhan ) in ISI during 1956-1963.
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Olinthus Gregory Olinthus Gilbert Gregory (29 January 1774 – 2 February 1841) was an English mathematician, author and editor.
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Harold Edwards (mathematician) Harold Mortimer Edwards, Jr. (born August 6, 1936) is an American mathematician working in number theory, algebra, and the history and philosophy of mathematics.
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Hermite–Minkowski theorem In mathematics, especially in algebraic number theory, the Hermite–Minkowski theorem states that for any integer "N" there are only finitely many number fields, i.e., finite field extensions "K" of the rational numbers Q, such that the discriminant of "K"/Q is at most "N". The theorem is named after Charles Hermite and Hermann Minkowski.
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Edward Wright (mathematician) Edward Wright (baptised 8 October 1561; died November 1615) was an English mathematician and cartographer noted for his book "Certaine Errors in Navigation" (1599; 2nd ed., 1610), which for the first time explained the mathematical basis of the Mercator projection, and set out a reference table giving the linear scale multiplication factor as a function of latitude, calculated for each minute of arc up to a latitude of 75°. This was in fact a table of values of the integral of the secant function, and was the essential step needed to make practical both the making and the navigational use of Mercator charts.
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Euclid's Elements The Elements (Ancient Greek: Στοιχεῖα "Stoicheia") is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. "Elements" is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
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Burnside's lemma Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy–Frobenius lemma or the orbit-counting theorem, is a result in group theory which is often useful in taking account of symmetry when counting mathematical objects. Its various eponyms are based on William Burnside, George Pólya, Augustin Louis Cauchy, and Ferdinand Georg Frobenius. The result is not due to Burnside himself, who merely quotes it in his book 'On the Theory of Groups of Finite Order', attributing it instead to .
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Euclid's theorem Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. There are several well-known proofs of the theorem.
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John Hadley John Hadley (16 April 1682 – 14 February 1744) was an English mathematician, and laid claim to the invention of the octant, two years after Thomas Godfrey claimed the same.
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David Hilbert David Hilbert (] ; 23 January 1862 – 14 February 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
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Edward Brerewood Edward Brerewood (or Bryerwood) (c. 1565–1613) was an English scholar and antiquary. He was a mathematician and logician, and wrote an influential book on the origin of languages.
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N. S. Rajaram Navaratna Srinivasa Rajaram (born 1943 in Mysore) is an Indian mathematician, notable for his publications with the Voice of India publishing house focusing on the "Indigenous Aryans" debate in Indian politics, in some instances in co-authorship with David Frawley. He is also a member of Folks Magazine's Editorial Board since 2009.
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Augustus De Morgan Augustus De Morgan ( ; 27 June 1806 – 18 March 1871) was a British mathematician and logician. He formulated De Morgan's laws and introduced the term mathematical induction, making its idea rigorous.
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Satadushani Satadushani is a work written by Vedanta Desika who lived in the 12th century. He is considered as one among the most illustrious Acharya of the Vaishnavite tradition and is the leader of the Vadagalai sect of the Vaishnavas. Though the title of the work suggests hundred refutations, only 66 of them are now available. Satadushani is a work of logic otherwise called as "Tarka" in Hindu philosophy. It is a refutation of the nirvesesha Advaita of Sankaracharya. It establishes the validity of the Vishishtadvaita philosophy of Ramanuja as against the Advaita of sankara. It is said that at the age of around 50 or 55 Vedanta Desika was invited by his disciples at Srirangam to engage in a polemical debate with a group of Advaitins from North India. The arguments made in the form of refutations against these men are said to be the content of this work. The late Surendranath Dasgupta in his magnum opus "The history of Indian Philosophy" has allotted almost 40 pages for this particular book of Vedanta Desika in the third volume of the series. The late R. Kesava Aiyangar, a senior advocate of the Supreme Court of India has written an exhaustive introduction to this work in English for the book titled "Vedanta Desika's Satadushani" by Srivatsankacharya.
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C. V. Raman Sir Chandrasekhara Venkata Raman (7 November 188821 November 1970) was an Indian physicist born in the former Madras Province in India presently called as Tamil Nadu, who carried out ground-breaking work in the field of light scattering, which earned him the 1930 Nobel Prize for Physics. He discovered that when light traverses a transparent material, some of the deflected light changes wavelength. This phenomenon, subsequently known as Raman scattering, results from the Raman effect. In 1954, India honoured him with its highest civilian award, the Bharat Ratna.
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Bhāskara I Bhāskara (c. 600 – c. 680) (commonly called Bhaskara I to avoid confusion with the 12th century mathematician Bhāskara II) was a 7th-century mathematician, who was the first to write numbers in the Hindu decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhatta's work. This commentary, "Āryabhaṭīyabhāṣya", written in 629 CE, is among the oldest known prose works in Sanskrit on mathematics and astronomy. He also wrote two astronomical works in the line of Aryabhata's school, the "Mahābhāskarīya" and the "Laghubhāskarīya".
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Nayandeep Deka Baruah Nayandeep Deka Baruah (born 1972) is an Indian mathematician and at present professor in the Department of Mathematical Sciences at Tezpur University, India. He is known for his work related to the mathematics of Ramanujan, in particular he and his collaborators have found several Ramanujan type congruences using different methods.