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Robert Richard Anstice
Robert Richard Anstice (1813–1853) was an English clergyman and mathematician who wrote two remarkable papers on combinatorics, published the same year he died in the Cambridge and Dublin mathematical journal. He pioneered the use of primitive roots in this field, anticipating the work of Eugen Netto on Steiner's triplets. Anstice studied at Christ Church, Oxford where he graduated in 1835, receiving a Master's in 1837. Nothing is known about his life in the next ten years. In 1846, he was ordained priest, and in the following year he became rector of Wigginton, Hertfordshire Wigginton (''Wigentone'' - 1086) is a large village and civil parish running north–south and perched at on the edge of the Chiltern Hills and aside the border with Buckinghamshire. It is part of Dacorum district in the county of Hertfords ...., MacTutor History of Mathematics. He died there in 1853 References Bibliography * * * External links * {{DEFAULTSORT:Anstice, Robert Ri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madeley, Shropshire
Madeley is a constituent town and civil parish in Telford and Wrekin in Shropshire, England. The parish had a population of 17,935 at the 2001 census. Madeley is recorded in the Domesday Book, having been founded before the 8th century. Historically, Madeley's industrial activity has largely been in mining, and later, manufacturing, which is still a large employer in the town, along with service industries. Parts of the parish fall within the UNESCO World Heritage Site of Ironbridge Gorge, the site of The Iron Bridge, and a key area in the development of Industry. History The settlement of Madeley is recorded as far back as the Domesday Book. The town was founded prior to the 8th century, and subsequently became a market town in the 13th century. Sigward, a local ruler in the time of King Æthelbald of Mercia, is said to have held 3 hides of land at Madeley. Between 727 and 736 he sold his holdings to Mildburh, daughter of Merewalh, sub-king of the Magonsæte. She was the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
England
England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe by the North Sea to the east and the English Channel to the south. The country covers five-eighths of the island of Great Britain, which lies in the North Atlantic, and includes over 100 smaller islands, such as the Isles of Scilly and the Isle of Wight. The area now called England was first inhabited by modern humans during the Upper Paleolithic period, but takes its name from the Angles, a Germanic tribe deriving its name from the Anglia peninsula, who settled during the 5th and 6th centuries. England became a unified state in the 10th century and has had a significant cultural and legal impact on the wider world since the Age of Discovery, which began during the 15th century. The English language, the Anglican Church, and Engli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wigginton, Hertfordshire
Wigginton (''Wigentone'' - 1086) is a large village and civil parish running north–south and perched at on the edge of the Chiltern Hills and aside the border with Buckinghamshire. It is part of Dacorum district in the county of Hertfordshire. The nearest towns are Tring in Hertfordshire (1.5m NW) and across the other side of the A41, Chesham (6m S) and Wendover (6m W), both in Buckinghamshire. Adjacent to the main village is the settlement of Wigginton Bottom where a number of farmworkers cottages were built during the 19th century. History There is evidence of prehistoric settlement, possibly dating from the Iron Age, in the form of Grim's Ditch, with a short length of the Chilterns Hills section remaining just south of the village settlement.Historic Monuments of Hertf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christ Church, Oxford
Christ Church ( la, Ædes Christi, the temple or house, '' ædēs'', of Christ, and thus sometimes known as "The House") is a constituent college of the University of Oxford in England. Founded in 1546 by King Henry VIII, the college is uniquely a joint foundation of the university and the cathedral of the Oxford diocese, Christ Church Cathedral, which both serves as the college chapel and whose dean is ''ex officio'' the college head. The college is amongst the largest and wealthiest of colleges at the University of Oxford, with an endowment of £596m and student body of 650 in 2020. As of 2022, the college had 661 students. Its grounds contain a number of architecturally significant buildings including Tom Tower (designed by Sir Christopher Wren), Tom Quad (the largest quadrangle in Oxford), and the Great Dining Hall, which was the seat of the parliament assembled by King Charles I during the English Civil War. The buildings have inspired replicas throughout the world in a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is gra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Kirkman
Thomas Penyngton Kirkman FRS (31 March 1806 – 3 February 1895) was a British mathematician and ordained minister of the Church of England. Despite being primarily a churchman, he maintained an active interest in research-level mathematics, and was listed by Alexander Macfarlane as one of ten leading 19th-century British mathematicians... In the 1840s, he obtained an existence theorem for Steiner triple systems that founded the field of combinatorial design theory, while the related Kirkman's schoolgirl problem is named after him. Early life and education Kirkman was born 31 March 1806 in Bolton, in the north west of England, the son of a local cotton dealer. In his schooling at the Bolton Grammar School, he studied classics, but no mathematics was taught in the school. He was recognised as the best scholar at the school, and the local vicar guaranteed him a scholarship at Cambridge, but his father would not allow him to go. Instead, he left school at age 14 to work in his fat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is gra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge And Dublin Mathematical Journal
''The Quarterly Journal of Pure and Applied Mathematics'' was a mathematics journal that first appeared as such in 1855, but as the continuation of ''The Cambridge Mathematical Journal'' that had been launched in 1836 and had run in four volumes before changing its title to ''The Cambridge and Dublin Mathematical Journal'' for a further nine volumes (these latter volumes carried dual numbering). Papers in the first issue, which carried a preface dated April, 1855, and promised further issues on a quarterly schedule in June, September, December and March, have dates going back to November, 1854; the first volume carried a further preface dated January, 1857. From the outset, keeping the journal up and running was to prove a challenging task. It was edited under the new title by James Joseph Sylvester and Norman Macleod Ferrers, assisted by George G. Stokes and Arthur Cayley, with Charles Hermite as corresponding editor in Paris, an arrangement that remained stable for the first f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Primitive Root Modulo N
In modular arithmetic, a number is a primitive root modulo if every number coprime to is congruent to a power of modulo . That is, is a ''primitive root modulo'' if for every integer coprime to , there is some integer for which ≡ (mod ). Such a value is called the index or discrete logarithm of to the base modulo . So is a ''primitive root modulo'' if and only if is a generator of the multiplicative group of integers modulo . Gauss defined primitive roots in Article 57 of the ''Disquisitiones Arithmeticae'' (1801), where he credited Euler with coining the term. In Article 56 he stated that Lambert and Euler knew of them, but he was the first to rigorously demonstrate that primitive roots exist for a prime . In fact, the ''Disquisitiones'' contains two proofs: The one in Article 54 is a nonconstructive existence proof, while the proof in Article 55 is constructive. Elementary example The number 3 is a primitive root modulo 7 because :: \ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eugen Netto
Eugen Otto Erwin Netto (30 June 1848 – 13 May 1919) was a German mathematician. He was born in Halle and died in Giessen. Netto's theorem, on the dimension-preserving properties of continuous bijections, is named for Netto. Netto published this theorem in 1878, in response to Georg Cantor's proof of the existence of discontinuous bijections between the unit interval and unit square In mathematics, a unit square is a square whose sides have length . Often, ''the'' unit square refers specifically to the square in the Cartesian plane with corners at the four points ), , , and . Cartesian coordinates In a Cartesian coordinate .... His proof was not fully rigorous, but its errors were later repaired. Works''Substitutionentheorie und ihre Anwendung auf die Algebra.''Teubner 1882.''Theory of Substitutions and Its Applications to Algebra.''Ann Arbor, Mich. 1892.''Die Determinanten.''Teubner, 1910. *''Die Determinanten.'' Teubner, 2nd edition 1925.''Lehrbuch der Combinatorik.'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
