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Albert G. Howson
Albert Geoffrey Howson (1931 – 1 November 2022) was a British mathematician and educationist. He started to work as algebraist and in 1954 published the Howson property of groups and proved it for some types of groups. Later he devoted himself to the mathematics education and participated in reforms of mathematics education in the Great Britain and internationally. He was the editor-in-chief and chairman of Trustees of the School Mathematics Project in Great Britain and was involved in many other national and international projects. He worked at University of Southampton as head of the Department of Mathematics and Dean of the Faculty of Mathematical Studies and served as president of the Mathematical Association of Great Britain, and two terms as Secretary of the International Commission on Mathematical Instruction. Howson died on 1 November 2022, aged 91. References {{DEFAULTSORT:Howson, Albert G. British mathematicians 1931 births 2022 deaths ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra
Algebra () is one of the areas of mathematics, broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variable (mathematics), variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in mathematical education, education, to the study of algebraic structures such as group (mathematics), groups, ring (mathematics), rings, and field (mathematics), fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Howson Property
In the mathematical subject of group theory, the Howson property, also known as the finitely generated intersection property (FGIP), is the property of a group saying that the intersection of any two finitely generated subgroups of this group is again finitely generated. The property is named after Albert G. Howson Albert Geoffrey Howson (1931 – 1 November 2022) was a British mathematician and educationist. He started to work as algebraist and in 1954 published the Howson property of groups and proved it for some types of groups. Later he devoted himsel ... who in a 1954 paper established that free groups have this property. Formal definition A group (mathematics), group G is said to have the Howson property if for every finitely generated group, finitely generated subgroups H,K of G their intersection H\cap K is again a finitely generated subgroup of G. Examples and non-examples *Every finite group has the Howson property. *The group G=F(a,b)\times \mathbb Z does not ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group (mathematics)
In mathematics, a group is a set and an operation that combines any two elements of the set to produce a third element of the set, in such a way that the operation is associative, an identity element exists and every element has an inverse. These three axioms hold for number systems and many other mathematical structures. For example, the integers together with the addition operation form a group. The concept of a group and the axioms that define it were elaborated for handling, in a unified way, essential structural properties of very different mathematical entities such as numbers, geometric shapes and polynomial roots. Because the concept of groups is ubiquitous in numerous areas both within and outside mathematics, some authors consider it as a central organizing principle of contemporary mathematics. In geometry groups arise naturally in the study of symmetries and geometric transformations: The symmetries of an object form a group, called the symmetry group of the ob ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trustees Of The School Mathematics Project
Trustee (or the holding of a trusteeship) is a legal term which, in its broadest sense, is a synonym for anyone in a position of trust and so can refer to any individual who holds property, authority, or a position of trust or responsibility to transfer the title of ownership to the person named as the new owner, in a trust instrument, called a beneficiary. A trustee can also be a person who is allowed to do certain tasks but not able to gain income, although that is untrue.''Black's Law Dictionary, Fifth Edition'' (1979), p. 1357, . Although in the strictest sense of the term a trustee is the holder of property on behalf of a beneficiary, the more expansive sense encompasses persons who serve, for example, on the board of trustees of an institution that operates for a charity, for the benefit of the general public, or a person in the local government. A trust can be set up either to benefit particular persons, or for any charitable purposes (but not generally for non-charitable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Southampton
, mottoeng = The Heights Yield to Endeavour , type = Public research university , established = 1862 – Hartley Institution1902 – Hartley University College1913 – Southampton University College1952 – gained university status by royal charter , chancellor = Ruby Wax , vice_chancellor = Mark E. Smith , head_label = Visitor , head = Penny Mordaunt , location = Southampton, Hampshire, England , campus = City Campus , academic_staff = 2,715 (2020) , administrative_staff = 5,001 , students = () , undergrad = () , postgrad = () , colours = Navy blue, light sea green and dark red , endowment = £14.9 million , budget = £578.4 million , affiliations = ACU EUA Port-City University League Russell Group SES SETsquared AACS ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Association Of Great Britain
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to prove properties of objects, a ''proof'' consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Commission On Mathematical Instruction
The International Commission on Mathematical Instruction (ICMI) is a commission of the International Mathematical Union and is an internationally acting organization focussing on mathematics education. ICMI was founded in 1908 at the International Congress of Mathematicians (ICM) in Rome and aims to improve teaching standards around the world, through programs, workshops and initiatives and publications. It aims to work a great deal with developing countries, to increase teaching standards and education which can improve life quality and aid the country. HistoryICMIwas founded at the ICM, and mathematician Felix Klein was elected first president of the organisation. Henri Fehr and Charles Laisant created the international research journal '' L'Enseignement Mathématique'' in 1899, and from early on this journal became the official organ of ICMI. A bulletin is published twice a year by ICMI, and from December 1995 this bulletin has been available at the organisation's official websi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
British Mathematicians
British may refer to: Peoples, culture, and language * British people, nationals or natives of the United Kingdom, British Overseas Territories, and Crown Dependencies. ** Britishness, the British identity and common culture * British English, the English language as spoken and written in the United Kingdom or, more broadly, throughout the British Isles * Celtic Britons, an ancient ethno-linguistic group * Brittonic languages, a branch of the Insular Celtic language family (formerly called British) ** Common Brittonic, an ancient language Other uses *'' Brit(ish)'', a 2018 memoir by Afua Hirsch *People or things associated with: ** Great Britain, an island ** United Kingdom, a sovereign state ** Kingdom of Great Britain (1707–1800) ** United Kingdom of Great Britain and Ireland (1801–1922) See also * Terminology of the British Isles * Alternative names for the British * English (other) * Britannic (other) * British Isles * Brit (other) * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1931 Births
Events January * January 2 – South Dakota native Ernest Lawrence invents the cyclotron, used to accelerate particles to study nuclear physics. * January 4 – German pilot Elly Beinhorn begins her flight to Africa. * January 22 – Sir Isaac Isaacs is sworn in as the first Australian-born Governor-General of Australia. * January 25 – Mohandas Gandhi is again released from imprisonment in India. * January 27 – Pierre Laval forms a government in France. February * February 4 – Soviet leader Joseph Stalin gives a speech calling for rapid industrialization, arguing that only strong industrialized countries will win wars, while "weak" nations are "beaten". Stalin states: "We are fifty or a hundred years behind the advanced countries. We must make good this distance in ten years. Either we do it, or they will crush us." The first five-year plan in the Soviet Union is intensified, for the industrialization and collectivization of agriculture. * February 10 – Official ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
