Eric Harold Neville
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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. Early life and education Eric Harold Neville was born in London on 1 January 1889. He attended the William Ellis School, where his mathematical abilities were recognised and encouraged by his mathematics teacher, T. P. Nunn. In 1907, he entered Trinity College, Cambridge. He graduated second wrangler two years later. He was elected to a Fellowship at Trinity College. While there he became acquainted with other Cambridge fellows, most notably Bertrand Russell and G. H. Hardy. In 1913 Neville married Alice Farnfield (1875-1956); they had a son Eric Russell Neville in 1914 who died before his first birthday. Neville remained married to Alice until her death. Ne ...
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Reading, Berkshire
Reading ( ) is a town and borough in Berkshire, Southeast England, southeast England. Located in the Thames Valley at the confluence of the rivers River Thames, Thames and River Kennet, Kennet, the Great Western Main Line railway and the M4 motorway serve the town. Reading is east of Swindon, south of Oxford, west of London and north of Basingstoke. Reading is a major commercial centre, especially for information technology and insurance. It is also a regional retail centre, serving a large area of the Thames Valley with its shopping centre, the The Oracle, Reading, Oracle. It is home to the University of Reading. Every year it hosts the Reading and Leeds Festivals, Reading Festival, one of England's biggest music festivals. Reading has a professional association football team, Reading F.C., and participates in many other sports. Reading dates from the 8th century. It was an important trading and ecclesiastical centre in the Middle Ages, the site of Reading Abbey, one of th ...
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Foundations Of Mathematics
Foundations of mathematics is the study of the philosophy, philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.) and how they form hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories and their model theory, models giving a meaning to formulas, definitions, proofs, algorithms, etc.) also called metamathematics, metamathematical concepts, with an eye to the philosophical aspects and the unity of mathematics. The search for foundations of mathematics is a cent ...
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Mathematical Gazette
''The Mathematical Gazette'' is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching. Its publisher is the Mathematical Association. William John Greenstreet was its editor for more than thirty years (1897–1930). Since 2000, the editor is Gerry Leversha. Editors * Edward Mann Langley: 1894-1896 * Francis Sowerby Macaulay: 1896-1897 * William John Greenstreet: 1897-1930 * Alan Broadbent: 1930-1955 * Reuben Goodstein: 1956-1962 * Edwin A. Maxwell: 1962-1971 * Douglas Quadling Douglas Arthur Quadling (1926–2015) was an English mathematician, school master and educationalist who was one of the four drivers behind the School Mathematics Project (SMP) i ...
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Doubly Periodic Function
In mathematics, a doubly periodic function is a function defined on the complex plane and having two "periods", which are complex numbers ''u'' and ''v'' that are linearly independent as vectors over the field of real numbers. That ''u'' and ''v'' are periods of a function ''ƒ'' means that :f(z + u) = f(z + v) = f(z)\, for all values of the complex number ''z''. The doubly periodic function is thus a two-dimensional extension of the simpler singly periodic function, which repeats itself in a single dimension. Familiar examples of functions with a single period on the real number line include the trigonometric functions like cosine and sine, In the complex plane the exponential function ''e''''z'' is a singly periodic function, with period 2''πi''. Examples As an arbitrary mapping from pairs of reals (or complex numbers) to reals, a doubly periodic function can be constructed with little effort. For example, assume that the periods are 1 and ''i'', so that the repe ...
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Weierstrass P-function
In mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions are also referred to as ℘-functions and they are usually denoted by the symbol ℘, a uniquely fancy script ''p''. They play an important role in the theory of elliptic functions. A ℘-function together with its derivative can be used to parameterize elliptic curves and they generate the field of elliptic functions with respect to a given period lattice. Symbol for Weierstrass \wp-function Definition Let \omega_1,\omega_2\in\mathbb be two complex numbers that are linearly independent over \mathbb and let \Lambda:=\mathbb\omega_1+\mathbb\omega_2:=\ be the lattice generated by those numbers. Then the \wp-function is defined as follows: \weierp(z,\omega_1,\omega_2):=\weierp(z,\Lambda) := \frac + \sum_\left(\frac 1 - \frac 1 \right). This series converges locally uniformly absolutely in \mathb ...
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Theta Function
In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field theory. The most common form of theta function is that occurring in the theory of elliptic functions. With respect to one of the complex variables (conventionally called ), a theta function has a property expressing its behavior with respect to the addition of a period of the associated elliptic functions, making it a quasiperiodic function. In the abstract theory this quasiperiodicity comes from the cohomology class of a line bundle on a complex torus, a condition of descent. One interpretation of theta functions when dealing with the heat equation is that "a theta function is a special function that describes the evolution of temperature on a segment domain subject to certain boundary conditions". Throughout this article, (e^)^ should b ...
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Elliptic Function
In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those integrals occurred at the calculation of the arc length of an ellipse. Important elliptic functions are Jacobi elliptic functions and the Weierstrass \wp-function. Further development of this theory led to hyperelliptic functions and modular forms. Definition A meromorphic function is called an elliptic function, if there are two \mathbb- linear independent complex numbers \omega_1,\omega_2\in\mathbb such that : f(z + \omega_1) = f(z) and f(z + \omega_2) = f(z), \quad \forall z\in\mathbb. So elliptic functions have two periods and are therefore also called ''doubly periodic''. Period lattice and fundamental domain Iff is an elliptic function with periods \omega_1,\omega_2 it also holds that : f(z+\gamma)=f(z) for every linear ...
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University Charter
A university charter is a charter issued by an authority to create or recognize a university. The earliest universities – Bologna, Paris and Oxford – arose organically from concentrations of schools in those cities rather than being created by charters. The first university charters were issued in Europe in the 13th century, with the University of Naples, created by a charter of Emperor Frederick II in 1224, being widely considered the first deliberately-created university (or ''studium generale''); King Alfonso VIII of Castille issued a charter in 1208 to create the University of Palencia but the status of that institution is doubtful. The first papal creation was the University of Toulouse in 1229, via a papal bull of Pope Gregory IX. Through the 13th century, most university foundations continued to be organic, often by migrations of scholars from other universities, but by the start of the 14th century either a papal bull or an imperial charter was considered n ...
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University College, Reading
The University of Reading is a public university in Reading, Berkshire, England. It was founded in 1892 as University College, Reading, a University of Oxford extension college. The institution received the power to grant its own degrees in 1926 by royal charter from King George V and was the only university to receive such a charter between the two world wars. The university is usually categorised as a red brick university, reflecting its original foundation in the 19th century. Reading has four major campuses. In the United Kingdom, the campuses on London Road and Whiteknights are based in the town of Reading itself, and Greenlands is based on the banks of the River Thames in Buckinghamshire. It also has a campus in Iskandar Puteri, Malaysia. The university has been arranged into 16 academic schools since 2016. The annual income of the institution for 2016–17 was £275.3 million of which £35.4 million was from research grants and contracts, with an expenditure ...
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Pacifist
Pacifism is the opposition or resistance to war, militarism (including conscription and mandatory military service) or violence. Pacifists generally reject theories of Just War. The word ''pacifism'' was coined by the French peace campaigner Émile Arnaud and adopted by other peace activists at the tenth Universal Peace Congress in Glasgow in 1901. A related term is ''ahimsa'' (to do no harm), which is a core philosophy in Indian Religions such as Hinduism, Buddhism, and Jainism. While modern connotations are recent, having been explicated since the 19th century, ancient references abound. In modern times, interest was revived by Leo Tolstoy in his late works, particularly in ''The Kingdom of God Is Within You''. Mahatma Gandhi propounded the practice of steadfast nonviolent opposition which he called " satyagraha", instrumental in its role in the Indian Independence Movement. Its effectiveness served as inspiration to Martin Luther King Jr., James Lawson, Mary and Charl ...
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First World War
World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fighting occurring throughout Europe, the Middle East, Africa, the Pacific, and parts of Asia. An estimated 9 million soldiers were killed in combat, plus another 23 million wounded, while 5 million civilians died as a result of military action, hunger, and disease. Millions more died in genocides within the Ottoman Empire and in the 1918 influenza pandemic, which was exacerbated by the movement of combatants during the war. Prior to 1914, the European great powers were divided between the Triple Entente (comprising France, Russia, and Britain) and the Triple Alliance (containing Germany, Austria-Hungary, and Italy). Tensions in the Balkans came to a head on 28 June 1914, following the assassination of Archduke Franz Ferdina ...
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Polynomial Interpolation
In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through the points of the dataset. Given a set of data points (x_0,y_0), \ldots, (x_n,y_n), with no two x_j the same, a polynomial function p(x) is said to interpolate the data if p(x_j)=y_j for each j\in\. Two common explicit formulas for this polynomial are the Lagrange polynomials and Newton polynomials. Applications Polynomials can be used to approximate complicated curves, for example, the shapes of letters in typography, given a few points. A relevant application is the evaluation of the natural logarithm and trigonometric functions: pick a few known data points, create a lookup table, and interpolate between those data points. This results in significantly faster computations. Polynomial interpolation also forms the basis for algorithms in numerical quadrature and numerical ordinary differential equations and Secure Multi ...
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