Duncan Sommerville
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Duncan Sommerville
Duncan MacLaren Young Sommerville (1879–1934) was a Scottish mathematician and astronomer. He compiled a bibliography on non-Euclidean geometry and also wrote a leading textbook in that field. He also wrote ''Introduction to the Geometry of N Dimensions'', advancing the study of polytopes. He was a co-founder and the first secretary of the New Zealand Astronomical Society. Sommerville was also an accomplished watercolourist, producing a series New Zealand landscapes. The middle name 'MacLaren' is spelt using the old orthography M'Laren in some sources, for example the records of the Royal Society of Edinburgh. Early life Sommerville was born on 24 November 1879 in Beawar in India, where his father the Rev Dr James Sommerville, was employed as a missionary by the United Presbyterian Church of Scotland. His father had been responsible for establishing the hospital at Jodhpur, Rajputana. The family returned home to Perth, Scotland, where Duncan spent 4 years at a private sc ...
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Beawar
Beawar () is a city in Ajmer district of Rajasthan, India. Beawar was the financial capital of Merwara state of Rajputana. As of 2011, the population of Beawar is 342,935. It is located 70 kilometres from Ajmer, the district headquarters and southwest of the state capital Jaipur, amidst Aravali hills. The city used to be a major center for trade, especially in raw cotton, and used to have cotton presses and the Krishna cotton mills. Currently, major industries include mineral-based units, machine-based units, machine tools and accessories, pre-stressed concrete pipes, plastic products, textiles, wooden furniture and asbestos cement pipes. Beawar is the largest producer of cement in northern India and home to Shree Cement. It is situated in a mineral-rich region having reserves of feldspar, quartz, asbestos, soapstone, magnesite, calcite, limestone, mica, emerald, granite, and masonry stone. Reserves of barytes, fluorite, wollastonite and vermiculite have also been found. Ne ...
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Royal Society Of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was established in 1783. , there are around 1,800 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, arts, humanities, medicine, social science, business, and public service. History At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies (see Scottish Enlightenment). Though there were several that treated the arts, sciences and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge, commonly referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy ...
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Quaternion Society
The Quaternion Society was a scientific society, self-described as an "International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics". At its peak it consisted of about 60 mathematicians spread throughout the academic world that were experimenting with quaternions and other hypercomplex number systems. The group's guiding light was Alexander Macfarlane who served as its secretary initially, and became president in 1909. The association published a ''Bibliography'' in 1904 and a ''Bulletin'' (annual report) from 1900 to 1913. The ''Bulletin'' became a review journal for topics in vector analysis and abstract algebra such as the theory of equipollence. The mathematical work reviewed pertained largely to matrices and linear algebra as the methods were in rapid development at the time. Genesis In 1895, Professor P. Molenbroek of The Hague, Holland, and Shinkichi Kimura studying at Yale put out a call for scholars to form the society in widely circu ...
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Bibliography
Bibliography (from and ), as a discipline, is traditionally the academic study of books as physical, cultural objects; in this sense, it is also known as bibliology (from ). English author and bibliographer John Carter describes ''bibliography'' as a word having two senses: one, a list of books for further study or of works consulted by an author (or enumerative bibliography); the other one, applicable for collectors, is "the study of books as physical objects" and "the systematic description of books as objects" (or descriptive bibliography). Etymology The word was used by Greek writers in the first three centuries CE to mean the copying of books by hand. In the 12th century, the word started being used for "the intellectual activity of composing books." The 17th century then saw the emergence of the modern meaning, that of description of books. Currently, the field of bibliography has expanded to include studies that consider the book as a material object. Bibliography, in ...
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British Association
The British Science Association (BSA) is a charity and learned society founded in 1831 to aid in the promotion and development of science. Until 2009 it was known as the British Association for the Advancement of Science (BA). The current Chief Executive is Katherine Mathieson. The BSA's mission is to get more people engaged in the field of science by coordinating, delivering, and overseeing different projects that are suited to achieve these goals. The BSA "envisions a society in which a diverse group of people can learn and apply the sciences in which they learn." and is managed by a professional staff located at their Head Office in the Wellcome Wolfson Building. The BSA offers a wide variety of activities and events that both recognize and encourage people to be involved in science. These include the British Science Festival, British Science Week, the CREST Awards, Huxley Summit, Media Fellowships Scheme, along with regional and local events. History Foundation The Asso ...
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Non-euclidean Geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras, which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point ''A'', which is not on , there is exactly one line through ...
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Cayley–Klein Metric
In mathematics, a Cayley–Klein metric is a metric on the complement of a fixed quadric in a projective space which is defined using a cross-ratio. The construction originated with Arthur Cayley's essay "On the theory of distance"Cayley (1859), p 82, §§209 to 229 where he calls the quadric the absolute. The construction was developed in further detail by Felix Klein in papers in 1871 and 1873, and subsequent books and papers. The Cayley–Klein metrics are a unifying idea in geometry since the method is used to provide metrics in hyperbolic geometry, elliptic geometry, and Euclidean geometry. The field of non-Euclidean geometry rests largely on the footing provided by Cayley–Klein metrics. Foundations The algebra of throws by Karl von Staudt (1847) is an approach to geometry that is independent of metric. The idea was to use the relation of projective harmonic conjugates and cross-ratios as fundamental to the measure on a line. Another important insight was the Laguerre for ...
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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 "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 translations (the affine transformations). The first issue for geometers is what kind of geometry is adequate for a novel situation. It is not possible to refer to angles in projective geometry as it is in Euclidean geometry, because angle is ...
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Doctor Of Science
Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used for the standard doctorate in the sciences; elsewhere the Sc.D. is a "higher doctorate" awarded in recognition of a substantial and sustained contribution to scientific knowledge beyond that required for a Doctor of Philosophy (PhD). Africa Algeria and Morocco In Algeria, Morocco, Libya and Tunisia, all universities accredited by the state award a "Doctorate" in all fields of science and humanities, equivalent to a PhD in the United Kingdom or United States. Some universities in these four Arab countries award a "Doctorate of the State" in some fields of study and science. A "Doctorate of the State" is slightly higher in esteem than a regular doctorate, and is awarded after performing additional in-depth post-doctorate research or ach ...
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Fife
Fife (, ; gd, Fìobha, ; sco, Fife) is a council area, historic county, registration county and lieutenancy area of Scotland. It is situated between the Firth of Tay and the Firth of Forth, with inland boundaries with Perth and Kinross (i.e. the historic counties of Perthshire and Kinross-shire) and Clackmannanshire. By custom it is widely held to have been one of the major Pictish kingdoms, known as ''Fib'', and is still commonly known as the Kingdom of Fife within Scotland. A person from Fife is known as a ''Fifer''. In older documents the county was very occasionally known by the anglicisation Fifeshire. Fife is Scotland's third largest local authority area by population. It has a resident population of just under 367,000, over a third of whom live in the three principal towns, Dunfermline, Kirkcaldy and Glenrothes. The historic town of St Andrews is located on the northeast coast of Fife. It is well known for the University of St Andrews, the most ancient univers ...
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University Of St Andrews
(Aien aristeuein) , motto_lang = grc , mottoeng = Ever to ExcelorEver to be the Best , established = , type = Public research university Ancient university , endowment = £117.7 million (2021) , budget = £286.6 million (2020–21) , chancellor = The Lord Campbell of Pittenweem , rector = Leyla Hussein , principal = Sally Mapstone , academic_staff = 1,230 (2020) , administrative_staff = 1,576 , students = () , undergrad = () , postgrad = () , doctoral = , other = , city = St Andrews , state = , country = Scotland , coordinates = , campus = College town , colours = United College, St Andrews St Mary's College School of Medicine S ...
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Perth Academy
Perth Academy is a state comprehensive secondary school in Perth, Scotland. It was founded in 1696. The institution is a non-denominational one. The school occupies ground on the side of a hill in the Viewlands area of Perth, and is within the Perth and Kinross Council area. History While able to claim a strong connection to the Perth Grammar School founded in the 12th century, the name Perth Academy first appears in 1542 when it was founded by the town council, still making Perth Academy one of the oldest schools in Scotland. The first Rector of the school was the Honourable John Murray (later Duke of Atholl); at this time it was considered a purely honourable title, before later being given to the head teacher of the school. By April 1762 accommodation was first provided for the school, in the form of a two-storey building which occupied the site of the current city hall. At this time education in Perth was provided by a variety of smaller institutions each specialising in a ...
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