George B. Mathews
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George B. Mathews
file:George Ballard Mathews.jpg, 250px George Ballard Mathews, Fellow of the Royal Society, FRS (23 February 1861 – 19 March 1922) was an English mathematician. He was born in London. He studied at the Ludlow Grammar School which had instruction in Hebrew and Sanskrit as well as in Greek language, Greek and Latin. He proceeded to University College, London where Olaus Henrici made him "realise that mathematics is an inductive science, not a set of rules and formulae." He then took up preparation for Cambridge Mathematical Tripos under the guidance of William Henry Besant. He came out Senior Wrangler for 1883. He was elected a Fellow of St John's College. In 1884 University College of North Wales was established under Principal Harry Reichel and Mathews as professor of mathematics. He taught alongside Andrew Gray (physicist), Andrew Gray, James Johnston Dobbie and Henry Stuart Jones. There he produced his first textbook ''Theory of Numbers. Part I'' (1892), an introduction to nu ...
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Andrew Gray (physicist)
Andrew Gray (2 July 1847 – 10 October 1925) was a Scottish physicist and mathematician. Life Born in Lochgelly, Fife, the son of John Gray, he was educated at Lochgelly School and then studied at the University of Glasgow (MA 1876), where he was appointed the Eglinton Fellow in Mathematics in 1876. Perhaps more significantly, however, in 1875 he became the assistant and private secretary of Professor William Thomson (later Lord Kelvin). He held this post – an official University one after 1880 – until 1884, when he was appointed Professor of Physics at the newly founded University College of North Wales. In 1883 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Lord Kelvin, James Thomson Bottomley, and John Gray McKendrick. He served as vice-president to the society 1906 to 1909. In June 1896 he was elected a Fellow of the Royal Society He remained in Bangor until 1899, when he returned to Glasgow to become the Professor of Natural ...
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Nutrition
Nutrition is the biochemistry, biochemical and physiology, physiological process by which an organism uses food and water to support its life. The intake of these substances provides organisms with nutrients (divided into Macronutrient, macro- and Micronutrient, micro-) which can be Metabolism, metabolized to create Food energy, energy and chemical structures; too much or too little of an essential nutrient can cause malnutrition. Nutritional science, the study of nutrition as a hard science, typically emphasizes human nutrition. The type of organism determines what nutrients it needs and how it obtains them. Organisms obtain nutrients by consuming organic matter, consuming inorganic matter, absorbing light, or some combination of these. Some can produce nutrients internally by consuming basic elements, while some must consume other organisms to obtain pre-existing nutrients. All forms of life require carbon, Biological thermodynamics, energy, and water as well as various other ...
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Bessel's Function
Bessel functions, named after Friedrich Bessel who was the first to systematically study them in 1824, are canonical solutions of Bessel's differential equation x^2 \frac + x \frac + \left(x^2 - \alpha^2 \right)y = 0 for an arbitrary complex number \alpha, which represents the ''order'' of the Bessel function. Although \alpha and -\alpha produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of \alpha. The most important cases are when \alpha is an integer or half-integer. Bessel functions for integer \alpha are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. Spherical Bessel functions with half-integer \alpha are obtained when solving the Helmholtz equation in spherical coordinates. Applications Bessel's equation arises when finding separable so ...
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Glasgow University
The University of Glasgow (abbreviated as ''Glas.'' in post-nominals; ) is a public research university in Glasgow, Scotland. Founded by papal bull in , it is the fourth-oldest university in the English-speaking world and one of Scotland's four ancient universities. Along with the universities of St Andrews, Aberdeen, and Edinburgh, the university was part of the Scottish Enlightenment during the 18th century. Glasgow is the second largest university in Scotland by total enrolment and -largest in the United Kingdom. In common with universities of the pre-modern era, Glasgow originally educated students primarily from wealthy backgrounds; however, it became a pioneer in British higher education in the 19th century by also providing for the needs of students from the growing urban and commercial middle class. Glasgow University served all of these students by preparing them for professions: law, medicine, civil service, teaching, and the church. It also trained smaller but grow ...
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Imaginary Unit
The imaginary unit or unit imaginary number () is a mathematical constant that is a solution to the quadratic equation Although there is no real number with this property, can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of in a complex number is Imaginary numbers are an important mathematical concept; they extend the real number system \mathbb to the complex number system \mathbb, in which at least one Root of a function, root for every nonconstant polynomial exists (see Algebraic closure and Fundamental theorem of algebra). Here, the term ''imaginary'' is used because there is no real number having a negative square (algebra), square. There are two complex square roots of and , just as there are two complex square roots of every real number other than zero (which has one multiple root, double square root). In contexts in which use of the letter is ambiguous or problematic, the le ...
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Karl Von Staudt
Karl Georg Christian von Staudt (24 January 1798 – 1 June 1867) was a German mathematician who used synthetic geometry to provide a foundation for arithmetic. Life and influence Karl was born in the Free Imperial City of Rothenburg, which is now called Rothenburg ob der Tauber in Germany. From 1814 he studied in Gymnasium in Ausbach. He attended the University of Göttingen from 1818 to 1822 where he studied with Gauss who was director of the observatory. Staudt provided an ephemeris for the orbits of Mars and the asteroid Pallas. When in 1821 Comet Nicollet-Pons was observed, he provided the elements of its orbit. These accomplishments in astronomy earned him his doctorate from University of Erlangen in 1822. Staudt's professional career began as a secondary school instructor in Würzburg until 1827 and then Nuremberg until 1835. He married Jeanette Dreschler in 1832. They had a son Eduard and daughter Mathilda, but Jeanette died in 1848. The book ''Geometrie der Lage'' (184 ...
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Projective Geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting (''projective space'') and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "Point at infinity, points at infinity") to Euclidean points, and vice versa. Properties meaningful for projective geometry are respected by this new idea of transformation, which is more radical in its effects than can be expressed by a transformation matrix and translation (geometry), translations (the affine transformations). The first issue for geometers is what kind of geometry is adequate for a novel situation. Unlike in Euclidean geometry, the concept of an angle does not ...
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Bangor, Wales
Bangor (; ) is a cathedral city and community in Gwynedd, north Wales. It is the oldest city in Wales. Historically part of Caernarfonshire, the community had a population of 15,060 at the 2021 census, and the built up area had a population of 16,990. Landmarks include Bangor Cathedral, Bangor University and Garth Pier. The Britannia and Menai Suspension bridges connect the city to the Isle of Anglesey. History The origins of the city date back to the founding of a monastic establishment on the site of Bangor Cathedral by the Celtic saint Deiniol in the early 6th century AD. itself is an old Welsh word for a wattled enclosure, such as the one that originally surrounded the cathedral site. The present cathedral is a somewhat more recent building and has been extensively modified throughout the centuries. While the building itself is not the oldest, and certainly not the biggest, the bishopric of Bangor is one of the oldest in the UK. In 973, Iago, ruler of the Kingd ...
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Cambridge University
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, world's third-oldest university in continuous operation. The university's founding followed the arrival of scholars who left the University of Oxford for Cambridge after a dispute with local townspeople. The two ancient university, ancient English universities, although sometimes described as rivals, share many common features and are often jointly referred to as Oxbridge. In 1231, 22 years after its founding, the university was recognised with a royal charter, granted by Henry III of England, King Henry III. The University of Cambridge includes colleges of the University of Cambridge, 31 semi-autonomous constituent colleges and List of institutions of the University of Cambridge#Schools, Faculties, and Departments, over 150 academic departm ...
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Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by Charles II of England, King Charles II and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the society's president, according to a set of statutes and standing orders. The members of Council and the president are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow ...
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Number Theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory can often be understood through the study of Complex analysis, analytical objects, such as the Riemann zeta function, that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, as for instance how irrational numbers can be approximated by fractions (Diophantine approximation). Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is ...
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