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	NationMaster - Encyclopedia: Arthur Cayley
		In group theory, Cayleys theorem, named in honor of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group on G. This can be understood as an example of the group action of G on the elements of G. A permutation of a...
		Cayley entered Lincoln's Inn, one of the Inns of Court for the training of prospective lawyers in 1846 and was admitted to the bar in 1849.
		Arthur Cayley was born at Richmond upon Thames, England, on August 16 1821.
	www.nationmaster.com /encyclopedia/Arthur-Cayley (1093 words)

	Arthur Cayley Summary
		Cayley was born in England during a short visit of his parents to Richmond, Surrey, but spent his first eight years in Russia where his father plied a living as a merchant.
		Cayley was born on August 16, 1821, in Richmond, Surrey, England and spent his early childhood in Russia.
		Cayley's name is associated with some of the changes that were sweeping the mathematical community of the era.
	www.bookrags.com /Arthur_Cayley (4857 words)

	Arthur Cayley
		Arthur Cayley was born at Richmond in Surrey, England, on August 16, 1821.
		Cayley was a man of more cosmopolitan spirit; he had a friendly sympathy with other workers, and especially with young men making their first adventure in the field of mathematical research.
		But Cayley doubtless felt that he was addressing not only the popular audience then and there before him, but the mathematicians of distant places and future times; for the address is a valuable historical review of various mathematical theories, and is characterized by freshness, independence of view, suggestiveness, and learning.
	www.black-science.org /wikipedia/a/ar/arthur_cayley.html (4036 words)

	Arthur Cayley
		Arthur Cayley was born on August 16, 1821, in England.
		Among Cayley's many innovations in mathematics were the notions of an abstract group and a group algebra, and the matrix concept.
		Cayley and his life-long friend and colaborator J. Sylvester were the founders of the theory of invariants, which was later to play an important role in the theory of relativity.
	library.thinkquest.org /C0110693/arthur.htm (197 words)

	Cayley biography
		Arthur showed great skill in numerical calculations at school and, after he moved to King's College School in 1835, his aptitude for advanced mathematics became apparent.
		He gives the 'Cayley tables' of some special permutation groups but, much more significantly for the introduction of the abstract group concept, he realised that matrices and quaternions were groups.
		Cayley developed the theory of algebraic invariance, and his development of n-dimensional geometry has been applied in physics to the study of the space-time continuum.
	www-history.mcs.st-andrews.ac.uk /Biographies/Cayley.html (1058 words)

	Cayley, Arthur
		Arthur Cayley was born on August 16, 1821, in Cambridge, England.
		Arthur's job was explain and teach the principles of pure mathematics and to apply himself to the advancement of Pure Mathematics.
		In 1854 Cayley published a paper were he considered a group as a set of symbols, all of them different and such that the product of any two of them, in any order, or the product of any one of them into itself, belongs to a set.
	www.stegen.k12.mo.us /tchrpges/sghs/aengelmann/CayleyArthur.htm (603 words)

	The Dispatch - Serving the Lexington, NC - News (Site not responding. Last check: )
		Arthur Cayley was born in Richmond upon Thames, England, on August 16 1821.
		His father, Henry Cayley, was a distant cousin of Sir George Cayley the aeronautics innovator, and descended from an ancient Yorkshire family.
		But Cayley doubtless felt that he was addressing not only the popular audience then and there before him, but the mathematicians of distant places and future times; for the address is a valuable historical review of various mathematical theories, and is characterized by freshness, independence of view, suggestiveness, and learning.
	www.the-dispatch.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Arthur_Cayley (2346 words)

	Cayley
		Cayley is a small lunar impact crater that is located in a basaltic-lava-flooded region to the west of Mare Tranquillitatis.
		A wealthy landowner, Cayley is considered the father of aerial navigation and a pioneer in the science of aerodynamics.
		In this paper, Cayley argues against the ornithopter model and outlines a fixed-wing aircraft that incorporates a a separate system for propulsion and a tail to assist in the control of the airplane.
	www.kencom.ca /cayleytimeline.htm (865 words)

	test (Site not responding. Last check: )
		Cayley left Cambridge in 1846 to study law in London, and was admitted to the bar in 1849.
		Cayley was highly recognised throughout his lifetime, and at various times was president of the Cambridge Philosophical Society, the London Mathematical Society, the British Association for the Advancement of Science, the Royal Astronomical Society, and the British Association for the Advancement of Science In Mathematics.
		Cayley was intrigued by the algebra of such objects, and he was the first to realise that they unified a number of contemporary areas of mathematics - permutations, geometric transformations, groups and even the fundamental ideas that underpin algebra itself.
	www.mathsyear2000.org /timeline/test-mathinfo.php?m=arthur-cayley (642 words)

	Arthur Cayley - LoveToKnow 1911
		ARTHUR CAYLEY (1821-1895), English mathematician, was born at Richmond, in Surrey, on the 16th of August 1821, the second son of Henry Cayley, a Russian merchant, and Maria Antonia Doughty.
		His father, Henry Cayley, retired from business in 182 9 and settled in Blackheath, where Arthur was sent to a private school kept by the Rev. G.
		Potticary; at the age of fourteen he was transferred to King's College school, London.
	www.1911encyclopedia.org /Arthur_Cayley (639 words)

	American Scientist Online - The Secret History of Mathematicians
		Cayley's seminal investigations of matrix algebra, which constituted only a tiny portion of his 967 papers, were crucial for the development of linear algebra.
		Cayley was a Trinity College fellow at Cambridge for a few years and could have remained so, teaching routine courses and living a communal life.
		Cayley was elected president of the British Association for the Advancement of Science in 1883, an honor that no pure mathematician had enjoyed in nearly 40 years.
	www.americanscientist.org /template/BookReviewTypeDetail/assetid/54053 (1831 words)

	Cayley, Arthur
		Cayley was born in Richmond, Surrey, and studied mathematics at Cambridge before becoming a barrister.
		Cayley published about 900 mathematical notes and papers on nearly every pure mathematical subject, as well as on theoretical dynamics and astronomy.
		Cayley clarified many of the theorems of algebraic geometry that had previously been only hinted at, and he was one of the first to realize how many different areas of mathematics were drawn together by the theory of groups.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/C/Cayley/1.html (162 words)

	Cayley
		Arthur's father Henry Cayley, although from a family who had lived for many generations in Yorkshire, England, lived in St Petersburg, Russia.
		While still training to be a lawyer Cayley went to Dublin to hear Hamilton lecture on quaternions.
		Arthur Cayley was elected to the Royal Society of London in 1852.
	members.tripod.com /sfabel/mathematik/database/Cayley.html (1288 words)

	AllRefer.com - Arthur Cayley Information
		Cayley was born in Richmond, Surrey, and studied mathematics at Cambridge before becoming a barrister.
		Cayley published about 900 mathematical notes and papers on nearly every pure mathematical subject, as well as on theoretical dynamics and astronomy.
		Cayley clarified many of the theorems of algebraic geometry that had previously been only hinted at, and he was one of the first to realize how many different areas of mathematics were drawn together by the theory of groups.
	www.allrefer.com /arthur-cayley (232 words)

	Arthur Cayley
		Arthur Cayley showed great skill in numerical calculations at school and his aptitude for advanced mathematics was apparent.
		He spent 14 years as a lawyer but Cayley, although very skilled in the legal specialty of conveyancing, always considered it as a means to make money so that he could pursue mathematics.
		In 1854, Cayley wrote two papers which are remarkable for the insight they have of abstract groups.
	www.stetson.edu /~efriedma/periodictable/html/C.html (553 words)

	Read This: Arthur Cayley: Mathematician Laureate of the Victorian Age
		Arthur Cayley is undoubtedly the best known English mathematician of the 19th century, and this well-written biography is the first we have of him.
		And indeed Cayley's requirements as a lecturer, like the other Cambridge professors, were slight: just one course of lectures a year, and they were not closely tied to syllabus of the Tripos exams.
		After all, Cayley chose to speak most eloquently through his work, and if I may contrive a mountaineering metaphor (Cayley was an enthusiastic climber, another Cambridge trait) Crilly describes the quantics, syzygies, semi-invariants and the like as distant peaks we may see, not as climbs and paths we are invited to follow.
	www.maa.org /reviews/ArthurCayley.html (1319 words)

	George Cayley in the Aviation History Encyclopedia
		Sir George Cayley (27 December 1773 - 15 December 1857) was an exuberant polymath from Brompton-by-Sawdon, near Scarborough in Yorkshire.
		His most celebrated achievement was to design and build a functional piloted (though unpowered) aeroplane, nearly fifty years before the Wright Brothers.
		He was the uncle of the mathematician Arthur Cayley.
	www.usairnet.com /encyclopedia/George_Cayley.html (783 words)

	The New Zealand Edge : Heroes : Mathematicians : Alexander Aitken : www.nzedge.com
		Cayley was a Cambridge mathematician who played a leading role in founding the modern British school of pure mathematics.
		Cayley’s name is given to the operations tables in number systems.
		He was the recipient of nearly every academic distinction that can be conferred upon an eminent man of science: honorary degrees from most notable universities, election as fellow or foreign corresponding member of the academies of several countries, and the Copley Medal in 1883 from the Royal Society of London.
	www.nzedge.com /heroes/aitken.html (2919 words)

	Arthur Cayley - Definition, explanation
		His father, Henry Cayley, brother of Sir George Cayley, was descended from an ancient Yorkshire family, but had settled in St.
		His friend and fellow investigator, Sylvester, once remarked that Cayley had been much more fortunate than himself; that they both lived as bachelors in London, but that Cayley had married and settled down to a quiet and peaceful life at Cambridge; whereas he had never married, and had been fighting the world all his days.
		To Cayley's presidential address we are indebted for information about the view which he took of the foundations of exact science, and the philosophy which commended itself to his mind.
	www.calsky.com /lexikon/en/txt/a/ar/arthur_cayley.php (3635 words)

	Arthur Cayley: Mathematician Laureate of the Victorian Age.(Brief Article)(Book Review) - HighBeam Encyclopedia
		Arthur Cayley; mathematician laureate of the Victorian age.
		Arthur Cayley was one of the most prolific and important mathematicians of the Victorian era.
		Crilly describes clearly Cayley's accomplishments in group theory, matrix algebra and invariant theory and includes a glossary of mathematical terms to assist the general reader.
	www.encyclopedia.com /doc/1G1-142885621.html (164 words)

	» Arthur Cayley
		Cayley, Arthur English mathematician and leader of the British school of pure mathematics that emerged in the 19th century.
		Arthur Cayley (1821–1895) was one of the most prolific and important mathematicians of the Victorian era.
		Amazon.com: Arthur Cayley : Mathematician Laureate of the Victorian...
	z-factor.info /info/Arthur-Cayley (334 words)

	Biologie - Arthur Cayley (Site not responding. Last check: )
		Cayley finanzierte mit seinem Hauptberuf Anwalt seine Berufung Mathematiker.
		Cayley führte 1854 den Begriff der abstrakten Gruppe ein.
		Er hat den in der Algebra wichtigen Satz von Cayley gefunden.
	www.biologie.de /biowiki/Arthur_Cayley (311 words)

	Arthur Cayley - Search Results - MSN Encarta
		Arthur Cayley - Search Results - MSN Encarta
		As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
		Geometry in four or more dimensions (n-dimensional geometry, in mathematical terms) was developed by 19th-century British mathematician Arthur...
	encarta.msn.com /Arthur_Cayley.html (118 words)

	Karoline Pershell
		Cayley contributed greatly to geometry, explaining concepts that would help in the understanding and explanation of relativity, developing tools for quantum mechanics, paving the way for a unified Euclidean and non-Euclidean geometry, and inventing the notation for matrices.
		Arthur also developed the algebra of matrices, which are combinations of numbers in rows and columns, in which the order and direction of multiplication determines the result.
		Examining the Contributions of Galois, Cayley and Noether to the Field of Abstract Algebra Abstract algebra would not be the diverse field it is today was it not for the accumulated contributions of nearly 200 years of work.
	math.rice.edu /~pershell/Galois.htm (4655 words)

	Amazon.ca: Arthur Cayley: Mathematician Laureate of the Victorian Age: Books: Tony Crilly (Site not responding. Last check: )
		Arthur Cayley (1821--1895) was one of the most prolific and important mathematicians of the Victorian era.
		Born in England, Cayley spent his childhood in St. Petersburg, where his father was a commercial agent.
		Though a successful lawyer, Cayley devoted all his free time to mathematics and confirmed his reputation as one of the era's leading minds with a procession of brilliant articles on key aspects in pure mathematics.
	www.amazon.ca /Arthur-Cayley-Mathematician-Laureate-Victorian/dp/0801880114 (561 words)

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