A mathematician is someone who uses an extensive knowledge of mathematics in his or her work to solve mathematical problems. Mathematics is concerned with numbers, quantity, space and change. One of the earliest known mathematicians was Thales of Miletus, 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 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", with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia of Alexandria, she succeeded her father as Librarian at the Great Library and wrote many works on applied mathematics. Because of a political dispute, the Christian community in Alexandria punished her, presuming she was involved, by stripping her naked and scraping off her skin with clamshells.
Science and mathematics in the Islamic world during the Middle Ages followed various models and modes of funding varied based on scholars. It was extensive patronage and strong intellectual policies implemented by specific rulers that allowed scientific knowledge to develop in many areas. Funding for translation of scientific texts in other languages was ongoing throughout the reign of certain caliphs, it turned out that certain scholars became experts in the works they translated and in turn received further support for continuing to develop certain sciences; as these sciences received wider attention from the elite, more scholars were invited and funded to study particular sciences. An example of a translator and mathematician who benefited from this type of support was al-Khawarizmi. A notable feature of many scholars working under Muslim rule in medieval times is that they were polymaths. Examples include the work on optics and astronomy of Ibn al-Haytham; the Renaissance brought an increased emphasis on science to Europe.
During this period of transition from a feudal and ecclesiastical culture to a predominantly secular one, many notable mathematicians had other occupations: Luca Pacioli. As time passed, many mathematicians gravitated towards universities. An emphasis on free thinking and experimentation had begun in Britain's oldest universities beginning in the seventeenth century at Oxford with the scientists Robert Hooke and Robert Boyle, at Cambridge where Isaac Newton was Lucasian Professor of Mathematics & Physics. Moving into the 19th century, the objective of universities all across Europe evolved from teaching the “regurgitation of knowledge” to “encourag productive thinking.” In 1810, Humboldt convinced the King of Prussia to build a university in Berlin based on Friedrich Schleiermacher’s liberal ideas. Thus and laboratories started to evolve. British universities of this period adopted some approaches familiar to the Italian and German universities, but as they enjoyed substantial freedoms and autonomy the changes there had begun with the Age of Enlightenment, the same influences that inspired Humboldt.
The Universities of Oxford and Cambridge emphasized the importance of research, arguably more authentically implementing Humboldt’s idea of a university than German universities, which were subject to state authority. Overall, science became the focus of universities in the 20th centuries. Students could conduct research in seminars or laboratories and began to produce doctoral theses with more scientific content. According to Humboldt, the mission of the University of Berlin was to pursue scientific knowledge; the German university system fostered professional, bureaucratically regulated scientific research performed in well-equipped laboratories, instead of the kind of research done by private and individual scholars in Great Britain and France. In fact, Rüegg asserts that the German system is responsible for the development of the modern research university because it focused on the idea of “freedom of scientific research and study.” Mathematicians cover a breadth of topics within mathematics in their undergraduate education, proceed to specialize in topics of their own choice at the graduate level.
In some universities, a qualifying exam serves to test both the breadth and depth of a student's understanding of mathematics. Mathematicians involved with solving problems with applications in real life are called applied mathematicians. Applied mathematicians are mathematical scientists who, with their specialized knowledge and professional methodology, approach many of the imposing problems presented in related scientific fields. With professional focus on a wide variety of problems, theoretical systems, localized constructs, applied mathematicians work in the study and formulation of mathematical models. Mathematicians and applied mathematicians are considered to be two of the STEM careers; the discipline of applied mathematics concerns
Royal Society of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity, operating on a wholly independent and non-party-political basis and providing public benefit throughout Scotland, it was established in 1783. As of 2017, it has more than 1,660 Fellows; the Society covers a broader selection of fields than the Royal Society of London including literature and history. Fellowship includes people from a wide range of disciplines – science & technology, humanities, social science and public service. At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies. Though there were several that treated the arts and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy with the specialist nature of the Medical Society, in 1737 a new, broader society, the Edinburgh Society for Improving Arts and Sciences and Natural Knowledge was split from the specialist medical organisation, which went on to become the Royal Medical Society.
The cumbersome name was changed the following year to the Edinburgh Philosophical Society. With the help of University of Edinburgh professors like Joseph Black, William Cullen and John Walker, this society transformed itself into the Royal Society of Edinburgh in 1783 and in 1788 it issued the first volume of its new journal Transactions of the Royal Society of Edinburgh; as the end of the century drew near, the younger members such as Sir James Hall embraced Lavoisier's new nomenclature and the members split over the practical and theoretical objectives of the society. This resulted in the founding of the Wernerian Society, a parallel organisation that focused more upon natural history and scientific research that could be used to improve Scotland's weak agricultural and industrial base. Under the leadership of Prof. Robert Jameson, the Wernerians first founded Memoirs of the Wernerian Natural History Society and the Edinburgh Philosophical Journal, thereby diverting the output of the Royal Society's Transactions.
Thus, for the first four decades of the 19th century, the RSE's members published brilliant articles in two different journals. By the 1850s, the society once again unified its membership under one journal. During the 19th century the society contained many scientists whose ideas laid the foundation of the modern sciences. From the 20th century onward, the society functioned not only as a focal point for Scotland's eminent scientists, but the arts and humanities, it still continues to promote original research in Scotland. In February 2014, Dame Jocelyn Bell Burnell was announced as the society's first female president, taking up her position in October; the Royal Society has been housed in a succession of locations: 1783–1807 – College Library, University of Edinburgh 1807–1810 – Physicians' Hall, George Street. The Royal Medals are awarded annually, preferably to people with a Scottish connection, who have achieved distinction and international repute in either Life Sciences and Engineering Sciences, Arts and Social Sciences or Business and Commerce.
The Medals were instituted in 2000 by Queen Elizabeth II, whose permission is required to make a presentation. Past winners include: The Lord Kelvin Medal is the Senior Prize for Physical and Informatics Sciences, it is awarded annually to a person who has achieved distinction nationally and internationally, who has contributed to wider society by the accessible dissemination of research and scholarship. Winners are required to deliver a public lecture in Scotland; the award is named after William Thomson, 1st Baron Kelvin, a famous mathematical physicist and engineer, Professor of Natural Philosophy at the University of Glasgow. Senior Prize-winners are required to have a Scottish connection but can be based anywhere in the world; the Keith medal has been awarded every four years for a scientific paper published in the society's scientific journals, preference being given to a paper containing a discovery. It is awarded alternately for papers on Environmental Sciences; the medal was founded in 1827 as a result of a bequest by Alexander Keith of Dunnottar, the first Treasurer of the Society.
The Makdougall Brisbane Prize has been awarded biennially, preferably to people working in Scotland, with no more than fifteen years post-doctoral experience, for particular distinction in the promotion of scientific research and is awarded sequentially to research workers in the Physical Sciences, Engineering Sciences and Biological Sciences. The prize was founded in 1855 by Sir Thomas Makdougall Brisbane, the long-serving fourth President of the Society. The'Gunning Victoria Jubilee Prize Lectureship' is a quadrennial award to re
Order of the British Empire
The Most Excellent Order of the British Empire is a British order of chivalry, rewarding contributions to the arts and sciences, work with charitable and welfare organisations, public service outside the civil service. It was established on 4 June 1917 by King George V and comprises five classes across both civil and military divisions, the most senior two of which make the recipient either a knight if male or dame if female. There is the related British Empire Medal, whose recipients are affiliated with, but not members of, the order. Recommendations for appointments to the Order of the British Empire were made on the nomination of the United Kingdom, the self-governing Dominions of the Empire and the Viceroy of India. Nominations continue today from Commonwealth countries that participate in recommending British honours. Most Commonwealth countries ceased recommendations for appointments to the Order of the British Empire when they created their own honours; the five classes of appointment to the Order are, in descending order of precedence: Knight Grand Cross or Dame Grand Cross of the Most Excellent Order of the British Empire Knight Commander or Dame Commander of the Most Excellent Order of the British Empire Commander of the Most Excellent Order of the British Empire Officer of the Most Excellent Order of the British Empire Member of the Most Excellent Order of the British Empire The senior two ranks of Knight or Dame Grand Cross, Knight or Dame Commander, entitle their members to use the title of Sir for men and Dame for women before their forename.
Most members are citizens of the United Kingdom or the Commonwealth realms that use the Imperial system of honours and awards. Honorary knighthoods are appointed to citizens of nations where the Queen is not head of state, may permit use of post-nominal letters but not the title of Sir or Dame. Honorary appointees are, referred to as Sir or Dame – Bob Geldof, for example. Honorary appointees who become a citizen of a Commonwealth realm can convert their appointment from honorary to substantive enjoy all privileges of membership of the order, including use of the title of Sir and Dame for the senior two ranks of the Order. An example is Irish broadcaster Terry Wogan, appointed an honorary Knight Commander of the Order in 2005, on successful application for British citizenship, held alongside his Irish citizenship, was made a substantive member and subsequently styled as Sir Terry Wogan. King George V founded the Order to fill gaps in the British honours system: The Orders of the Garter, of St Patrick honoured royals, peers and eminent military commanders.
In particular, King George V wished to create an Order to honour many thousands of those who had served in a variety of non-combatant roles during the First World War. When first established, the Order had only one division. However, in 1918, soon after its foundation, it was formally divided into Military and Civil Divisions; the Order's motto is For the Empire. At the foundation of the Order, the'Medal of the Order of the British Empire' was instituted, to serve as a lower award granting recipients affiliation but not membership. In 1922, this was renamed the'British Empire Medal', it stopped being awarded by the United Kingdom as part of the 1993 reforms to the honours system, but was again awarded beginning in 2012, starting with 293 BEMs awarded for Queen Elizabeth II's Diamond Jubilee. In addition, the BEM is awarded by some other Commonwealth nations. In 2004, a report entitled "A Matter of Honour: Reforming Our Honours System" by a Commons committee recommended to phase out the Order of the British Empire, as its title was "now considered to be unacceptable, being thought to embody values that are no longer shared by many of the country's population".
The British monarch is Sovereign of the Order, appoints all other members of the Order. The next most senior member is the Grand Master, of whom there have been three: Prince Edward, the Prince of Wales; the Order is limited to 300 Knights and Dames Grand Cross, 845 Knights and Dames Commander, 8,960 Commanders. There are no limits applied to the total number of members of the fourth and fifth classes, but no more than 858 Officers and 1,464 Members may be appointed per year. Foreign appointees, as honorary members, do not contribute to the numbers restricted to the Order as full members do. Although the Order of the British Empire has by far the highest number of members of the British Orders of Chivalry, with over 100,000 living members worldwide, there are fewer appointments to knighthoods than in other orders. Though men can be knighted separately from an order of chivalry, women cannot, so the rank of Knight/Dame Commander of the Order is the lowest rank of damehood, second-lowest of knighthood.
Because of this, an appointment as Dame Commander is made in circumstances in which a man would be created a Knight Bachelor. For example, by convention, female judges of the High Court of Justice are created Dames Commander after appointment, while male judges
Virtual International Authority File
The Virtual International Authority File is an international authority file. It is a joint project of several national libraries and operated by the Online Computer Library Center. Discussion about having a common international authority started in the late 1990s. After a series of failed attempts to come up with a unique common authority file, the new idea was to link existing national authorities; this would present all the benefits of a common file without requiring a large investment of time and expense in the process. The project was initiated by the US Library of Congress, the German National Library and the OCLC on August 6, 2003; the Bibliothèque nationale de France joined the project on October 5, 2007. The project transitioned to being a service of the OCLC on April 4, 2012; the aim is to link the national authority files to a single virtual authority file. In this file, identical records from the different data sets are linked together. A VIAF record receives a standard data number, contains the primary "see" and "see also" records from the original records, refers to the original authority records.
The data are available for research and data exchange and sharing. Reciprocal updating uses the Open Archives Initiative Protocol for Metadata Harvesting protocol; the file numbers are being added to Wikipedia biographical articles and are incorporated into Wikidata. VIAF's clustering algorithm is run every month; as more data are added from participating libraries, clusters of authority records may coalesce or split, leading to some fluctuation in the VIAF identifier of certain authority records. Authority control Faceted Application of Subject Terminology Integrated Authority File International Standard Authority Data Number International Standard Name Identifier Wikipedia's authority control template for articles Official website VIAF at OCLC
Scotland is a country, part of the United Kingdom. Sharing a border with England to the southeast, Scotland is otherwise surrounded by the Atlantic Ocean to the north and west, by the North Sea to the northeast and by the Irish Sea to the south. In addition to the mainland, situated on the northern third of the island of Great Britain, Scotland has over 790 islands, including the Northern Isles and the Hebrides; the Kingdom of Scotland emerged as an independent sovereign state in the Early Middle Ages and continued to exist until 1707. By inheritance in 1603, James VI, King of Scots, became King of England and King of Ireland, thus forming a personal union of the three kingdoms. Scotland subsequently entered into a political union with the Kingdom of England on 1 May 1707 to create the new Kingdom of Great Britain; the union created a new Parliament of Great Britain, which succeeded both the Parliament of Scotland and the Parliament of England. In 1801, the Kingdom of Great Britain and Kingdom of Ireland enacted a political union to create a United Kingdom.
The majority of Ireland subsequently seceded from the UK in 1922. Within Scotland, the monarchy of the United Kingdom has continued to use a variety of styles and other royal symbols of statehood specific to the pre-union Kingdom of Scotland; the legal system within Scotland has remained separate from those of England and Wales and Northern Ireland. The continued existence of legal, educational and other institutions distinct from those in the remainder of the UK have all contributed to the continuation of Scottish culture and national identity since the 1707 union with England; the Scottish Parliament, a unicameral legislature comprising 129 members, was established in 1999 and has authority over those areas of domestic policy which have been devolved by the United Kingdom Parliament. The head of the Scottish Government, the executive of the devolved legislature, is the First Minister of Scotland. Scotland is represented in the UK House of Commons by 59 MPs and in the European Parliament by 6 MEPs.
Scotland is a member of the British–Irish Council, sends five members of the Scottish Parliament to the British–Irish Parliamentary Assembly. Scotland is divided into councils. Glasgow City is the largest subdivision in Scotland in terms of population, with Highland being the largest in terms of area. "Scotland" comes from the Latin name for the Gaels. From the ninth century, the meaning of Scotia shifted to designate Gaelic Scotland and by the eleventh century the name was being used to refer to the core territory of the Kingdom of Alba in what is now east-central Scotland; the use of the words Scots and Scotland to encompass most of what is now Scotland became common in the Late Middle Ages, as the Kingdom of Alba expanded and came to encompass various peoples of diverse origins. Repeated glaciations, which covered the entire land mass of modern Scotland, destroyed any traces of human habitation that may have existed before the Mesolithic period, it is believed the first post-glacial groups of hunter-gatherers arrived in Scotland around 12,800 years ago, as the ice sheet retreated after the last glaciation.
At the time, Scotland was covered in forests, had more bog-land, the main form of transport was by water. These settlers began building the first known permanent houses on Scottish soil around 9,500 years ago, the first villages around 6,000 years ago; the well-preserved village of Skara Brae on the mainland of Orkney dates from this period. Neolithic habitation and ritual sites are common and well preserved in the Northern Isles and Western Isles, where a lack of trees led to most structures being built of local stone. Evidence of sophisticated pre-Christian belief systems is demonstrated by sites such as the Callanish Stones on Lewis and the Maes Howe on Orkney, which were built in the third millennium BCE; the first written reference to Scotland was in 320 BC by Greek sailor Pytheas, who called the northern tip of Britain "Orcas", the source of the name of the Orkney islands. During the first millennium BCE, the society changed to a chiefdom model, as consolidation of settlement led to the concentration of wealth and underground stores of surplus food.
The first Roman incursion into Scotland occurred in 79 AD. After the Roman victory, Roman forts were set along the Gask Ridge close to the Highland line, but by three years after the battle, the Roman armies had withdrawn to the Southern Uplands; the Romans erected Hadrian's Wall in northern England and the Limes Britannicus became the northern border of the Roman Empire. The Roman influence on the southern part of the country was considerable, they introduced Christianity to Scotland. Beginning in the sixth century, the area, now Scotland was divided into three areas: Pictland, a patchwork of small lordships in central Scotland; these societies were based on the family unit and had sharp divisions in wealth, although the vast majority were poor and worked full-time in subsistence agriculture. The Picts kept slaves through the ninth century. Gaelic influence over Pictland and Northumbria was facilitated by the large number of Gaelic-speaking clerics working as missionaries. Operating in the sixth ce
London Mathematical Society
The London Mathematical Society is one of the United Kingdom's learned societies for mathematics. The Society was established on 16 January 1865, the first president being Augustus De Morgan; the earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal; the LMS was used as a model for the establishment of the American Mathematical Society in 1888. The Society was granted a royal charter in a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House, at 57–58 Russell Square, Bloomsbury, to accommodate an expansion of its staff; the Society is a member of the UK Science Council. On 4 July 2008, the Joint Planning Group for the LMS and IMA proposed a merger of two societies to form a single, unified society; the proposal was the result of eight years of consultations and the councils of both societies commended the report to their members.
Those in favour of the merger argued a single society would give mathematics in the UK a coherent voice when dealing with Research Councils. While accepted by the IMA membership, the proposal was rejected by the LMS membership on 29 May 2009 by 591 to 458; the Society publishes periodicals. The Society's periodical publications include five printed journals: Bulletin of the London Mathematical Society Journal of the London Mathematical Society Proceedings of the London Mathematical Society Transactions of the London Mathematical Society Journal of TopologyIt publishes the journal Compositio Mathematica on behalf of its owning foundation, Mathematika on behalf of University College London and copublishes Nonlinearity with the Institute of Physics; the Society publishes four book series: a series of a series of Student Texts. It published a series of Monographs and the History of Mathematics series, it co-publishes four series of translations: Russian Mathematical Surveys, Izvestiya: Mathematics and Sbornik: Mathematics, Transactions of the Moscow Mathematical Society.
An electronic journal, the Journal of Computation and Mathematics ceased publication at the end of 2017. The named prizes are: De Morgan Medal — the most prestigious Pólya Prize Louis Bachelier Prize Senior Berwick Prize Senior Whitehead Prize Naylor Prize and Lectureship Berwick Prize Anne Bennett Prize Senior Anne Bennett Prize Fröhlich Prize Shephard Prize Whitehead Prize In addition, the Society jointly with the Institute of Mathematics and its Applications awards the David Crighton Medal every three years. American Mathematical Society Edinburgh Mathematical Society European Mathematical Society List of Mathematical Societies Council for the Mathematical Sciences BCS-FACS Specialist Group Oakes, Susan Margaret; the Book of Presidents 1865–1965. London Mathematical Society. ISBN 0-9502734-1-4. London Mathematical Society website A History of the London Mathematical Society MacTutor: The London Mathematical Society