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E. W. Hobson
Ernest William Hobson Fellow of the Royal Society, FRS (27 October 1856 – 19 April 1933) was an England, English mathematician, now remembered mostly for his books, some of which broke new ground in their coverage in English of topics from mathematical analysis. He was Sadleirian Professor of Pure Mathematics at the University of Cambridge from 1910 to 1931. Life He was born in Derby, and was educated at Derby School, the Royal School of Mines, and Christ's College, Cambridge, graduating Senior Wrangler in 1878. He was the brother of the economist John A. Hobson. He became a Fellow of Christ's almost immediately after graduation. He made his way into research mathematics only gradually, becoming an expert in the theory of spherical harmonics. His 1907 work on real analysis was something of a watershed in the British mathematical tradition; and was lauded by G. H. Hardy. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Derby
Derby ( ) is a city and unitary authority area in Derbyshire, England. It lies on the banks of the River Derwent in the south of Derbyshire, which is in the East Midlands Region. It was traditionally the county town of Derbyshire. Derby gained city status in 1977, the population size has increased by 5.1%, from around 248,800 in 2011 to 261,400 in 2021. Derby was settled by Romans, who established the town of Derventio, later captured by the Anglo-Saxons, and later still by the Vikings, who made their town of one of the Five Boroughs of the Danelaw. Initially a market town, Derby grew rapidly in the industrial era. Home to Lombe's Mill, an early British factory, Derby has a claim to be one of the birthplaces of the Industrial Revolution. It contains the southern part of the Derwent Valley Mills World Heritage Site. With the arrival of the railways in the 19th century, Derby became a centre of the British rail industry. Derby is a centre for advanced transport manufactur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Derby School
Derby School was a school in Derby in the English Midlands from 1160 to 1989. It had an almost continuous history of education of over eight centuries. For most of that time it was a grammar school for boys. The school became co-educational and comprehensive in 1972 and was closed/renamed in 1989. In 1994 a new independent school called Derby Grammar School for boys was founded. Origins - around 1160 The school was founded in the 12th century around 1160 by a local magnate, Walkelin de Derby (also called Walkelin de Ferrieres, or de Ferrers) and his wife, Goda de Toeni, who gave their own house to an Augustinian priory called Darley Abbey to be used for the school.Bishop Durdent and the foundation of Derby School (Derbyshire Archaeological Journal, vol. 33, 1911) by Benjamin Tacchella Local legend has it that it was the second oldest school in England. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tonelli–Hobson Test
In mathematics, the Tonelli–Hobson test gives sufficient criteria for a function ''ƒ'' on R2 to be an integrable function. It is often used to establish that Fubini's theorem may be applied to ''ƒ''. It is named for Leonida Tonelli and E. W. Hobson. More precisely, the Tonelli–Hobson test states that if ''ƒ'' is a real-valued measurable function In mathematics and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable. This is in di ... on R2, and either of the two iterated integrals :\int_\mathbb\left(\int_\mathbb, f(x,y), \,dx\right)\, dy or :\int_\mathbb\left(\int_\mathbb, f(x,y), \,dy\right)\, dx is finite, then ''ƒ'' is Lebesgue-integrable on R2. Integral calculus Theorems in analysis {{mathanalysis-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gifford Lectures
The Gifford Lectures () are an annual series of lectures which were established in 1887 by the will of Adam Gifford, Lord Gifford. Their purpose is to "promote and diffuse the study of natural theology in the widest sense of the term – in other words, the knowledge of God." A Gifford lectures appointment is one of the most prestigious honours in Scottish academia. The lectures are given at four Scottish universities: University of St Andrews, University of Glasgow, University of Aberdeen and University of Edinburgh. University calendars record that at the four Scottish universities, the Gifford Lectures are to be "public and popular, open not only to students of the university, but the whole community (for a tuition fee) without matriculation. Besides a general audience, the Lecturer may form a special class of students for the study of the subject, which will be conducted in the usual way, and tested by examination and thesis, written and oral". In 1889, those attending ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University Press
Cambridge University Press is the university press of the University of Cambridge. Granted letters patent by Henry VIII of England, King Henry VIII in 1534, it is the oldest university press A university press is an academic publishing house specializing in monographs and scholarly journals. Most are nonprofit organizations and an integral component of a large research university. They publish work that has been reviewed by schola ... in the world. It is also the King's Printer. Cambridge University Press is a department of the University of Cambridge and is both an academic and educational publisher. It became part of Cambridge University Press & Assessment, following a merger with Cambridge Assessment in 2021. With a global sales presence, publishing hubs, and offices in more than 40 Country, countries, it publishes over 50,000 titles by authors from over 100 countries. Its publishing includes more than 380 academic journals, monographs, reference works, school and uni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ascension Parish Burial Ground, Cambridge
The Ascension Parish Burial Ground, formerly known as the burial ground for the parish of St Giles and St Peter's, is a cemetery off Huntingdon Road in Cambridge, England. Many notable University of Cambridge academics are buried there, including three Nobel Prize winners. Although a Church of England site, the cemetery includes the graves of many non-conformists, reflecting the demographics of the parish in the 19th and 20th centuries, which covered much of West Cambridge. It was established in 1857 while the city of Cambridge was undergoing rapid expansion, although the first burial was not until 1869. It covers one and a half acres and contains 1,500 graves with 2,500 burials. Originally surrounded by open fields, it is now bounded by trees and the gardens of detached houses, and is a designated city wildlife site. In 2020 it was formally closed to new burials by an Order in Council, and responsibility for its upkeep was transferred to Cambridge City Council. The former c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Pollock Gillespie
Robert Pollock Gillespie FRSE (1903–1977) was a Scottish mathematician. He was twice President of the Edinburgh Mathematical Society (1946–7 and 1968–9). He published several important books on mathematics. Life He was born on 21 November 1903 in Johnstone, Renfrewshire the son of Thomas Gillespie a butcher and his wife, Jane Pollock. He was raised at Ashcot on Kilbarchan Road in Johnstone. He was educated locally then at Paisley Grammar School where he was dux. He then won a bursary to study Mathematics and Natural Philosophy (Physics) at Glasgow University graduating MA BSc in 1924. He did further postgraduate studies under E. W. Hobson at Cambridge University from 1924 to 1927 under a William Bryce Scholarship, gaining his doctorate (PhD) in 1932 due to a delay in submitting his thesis. He began lecturing in Mathematics at Glasgow University in 1929 under Prof Thomas Murray MacRobert and alongside Dr T S Graham. In 1933 he was elected a Fellow of the Royal Society ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fourier Series
A Fourier series () is a summation of harmonically related sinusoidal functions, also known as components or harmonics. The result of the summation is a periodic function whose functional form is determined by the choices of cycle length (or ''period''), the number of components, and their amplitudes and phase parameters. With appropriate choices, one cycle (or ''period'') of the summation can be made to approximate an arbitrary function in that interval (or the entire function if it too is periodic). The number of components is theoretically infinite, in which case the other parameters can be chosen to cause the series to converge to almost any ''well behaved'' periodic function (see Pathological and Dirichlet–Jordan test). The components of a particular function are determined by ''analysis'' techniques described in this article. Sometimes the components are known first, and the unknown function is ''synthesized'' by a Fourier series. Such is the case of a discrete-ti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The fundamental concepts in point-set topology are ''continuity'', ''compactness'', and ''connectedness'': * Continuous functions, intuitively, take nearby points to nearby points. * Compact sets are those that can be covered by finitely many sets of arbitrarily small size. * Connected sets are sets that cannot be divided into two pieces that are far apart. The terms 'nearby', 'arbitrarily small', and 'far apart' can all be made precise by using the concept of open sets. If we change the definition of 'open set', we change what continuous functions, compact sets, and connected sets are. Each choice of definition for 'open set' is called a ''t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Real Analysis
In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability. Real analysis is distinguished from complex analysis, which deals with the study of complex numbers and their functions. Scope Construction of the real numbers The theorems of real analysis rely on the properties of the real number system, which must be established. The real number system consists of an uncountable set (\mathbb), together with two binary operations denoted and , and an order denoted . The operations make the real numbers a field, and, along with the order, an ordered field. The real number system is the unique ''complete ordered field'', in the sense that any other complete ordered field is isomorphic to it. Intuitively, completeness means ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spherical Harmonics
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields. Since the spherical harmonics form a complete set of orthogonal functions and thus an orthonormal basis, each function defined on the surface of a sphere can be written as a sum of these spherical harmonics. This is similar to periodic functions defined on a circle that can be expressed as a sum of circular functions (sines and cosines) via Fourier series. Like the sines and cosines in Fourier series, the spherical harmonics may be organized by (spatial) angular frequency, as seen in the rows of functions in the illustration on the right. Further, spherical harmonics are basis functions for irreducible representations of SO(3), the group of rotations in three dimensions, and thus play a central role in the group theoretic discussion of SO(3). Spherical harmonics originate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
