William Spottiswoode
Encyclopedia
William Spottiswoode FRS
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

 (11 January 1825, London
London
London is the capital city of :England and the :United Kingdom, the largest metropolitan area in the United Kingdom, and the largest urban zone in the European Union by most measures. Located on the River Thames, London has been a major settlement for two millennia, its history going back to its...

 – 27 June 1883, London
London
London is the capital city of :England and the :United Kingdom, the largest metropolitan area in the United Kingdom, and the largest urban zone in the European Union by most measures. Located on the River Thames, London has been a major settlement for two millennia, its history going back to its...

) was an English
English people
The English are a nation and ethnic group native to England, who speak English. The English identity is of early mediaeval origin, when they were known in Old English as the Anglecynn. England is now a country of the United Kingdom, and the majority of English people in England are British Citizens...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 and physicist
Physicist
A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many branches of physics spanning all length scales: from sub-atomic particles of which all ordinary matter is made to the behavior of the material Universe as a whole...

. He was President of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

 from 1878 to 1883.

Early life

His father, Andrew Spottiswoode, who was descended from an ancient Scottish family, represented Colchester
Colchester
Colchester is an historic town and the largest settlement within the borough of Colchester in Essex, England.At the time of the census in 2001, it had a population of 104,390. However, the population is rapidly increasing, and has been named as one of Britain's fastest growing towns. As the...

 in parliament for some years, and in 1831 became junior partner in the firm of Eyre & Spottiswoode
Eyre & Spottiswoode
Eyre & Spottiswoode, Ltd. was the London based printing firm that was the King's Printer, and subsequently, after April 1929, a publisher of the same name...

, printers.

William was educated at Laleham, Eton College
Eton College
Eton College, often referred to simply as Eton, is a British independent school for boys aged 13 to 18. It was founded in 1440 by King Henry VI as "The King's College of Our Lady of Eton besides Wyndsor"....

, Harrow School
Harrow School
Harrow School, commonly known simply as "Harrow", is an English independent school for boys situated in the town of Harrow, in north-west London.. The school is of worldwide renown. There is some evidence that there has been a school on the site since 1243 but the Harrow School we know today was...

 and Balliol College, Oxford
Oxford
The city of Oxford is the county town of Oxfordshire, England. The city, made prominent by its medieval university, has a population of just under 165,000, with 153,900 living within the district boundary. It lies about 50 miles north-west of London. The rivers Cherwell and Thames run through...

. His bent for science showed itself while he was still a schoolboy, and indeed his removal from Eton to Harrow is said to have been occasioned by an accidental explosion which occurred whilst he was performing an experiment for his own amusement. At Harrow he obtained in 1842 a Lyon scholarship, and at Oxford in 1845 a first-class in mathematics, in 1846 the junior and in 1847 the senior university mathematical scholarship.

Family

He married in Bexley 27 November 1861 Elisa ("Lise") Taylor Arbuthnot, daughter of William Urquhart Arbuthnot (grandson of Sir William Arbuthnot, 1st Baronet
Sir William Arbuthnot, 1st Baronet
Sir William Arbuthnot, 1st Baronet of Edinburgh was Lord Provost of Edinburgh and Lord Lieutenant of the City of Edinburgh....

). They had children William Hugh Spottiswoode and Cyril Andrew Spottiswoode.

Career

In 1846 he left Oxford to take his father's place in the business, in which he was engaged until his death. In 1847 he issued five pamphlets entitled Meditationes analyticae. This was his first publication of original mathematical work; and from this time scarcely a year passed in which he did not give to the world further mathematical researches.

In 1856 Spottiswoode travelled in eastern Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...

, and in 1860 in Croatia
Croatia
Croatia , officially the Republic of Croatia , is a unitary democratic parliamentary republic in Europe at the crossroads of the Mitteleuropa, the Balkans, and the Mediterranean. Its capital and largest city is Zagreb. The country is divided into 20 counties and the city of Zagreb. Croatia covers ...

 and Hungary
Hungary
Hungary , officially the Republic of Hungary , is a landlocked country in Central Europe. It is situated in the Carpathian Basin and is bordered by Slovakia to the north, Ukraine and Romania to the east, Serbia and Croatia to the south, Slovenia to the southwest and Austria to the west. The...

; of the former expedition he has left a record, A Tarantasse Journey through Eastern Russia in the Autumn of 1856 (London, 1857).

In 1870 he was elected president of the London Mathematical Society
London Mathematical Society
-See also:* American Mathematical Society* Edinburgh Mathematical Society* European Mathematical Society* List of Mathematical Societies* Council for the Mathematical Sciences* BCS-FACS Specialist Group-External links:* * *...

. In 1871 he began to turn his attention to experimental physics, his earlier researches bearing upon the light polarization and his later work upon the electrical discharge in rarefied gases. He wrote a popular treatise upon the former subject for the Nature Series in 1874. In 1878 he was elected president of the British Association, and in the same year president of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

, of which he had been a fellow since 1853. He died in London of typhoid fever on the 27th of June 1883, and was buried in Westminster Abbey.

As a mathematician he occupied himself with many branches of his favourite science, more especially with higher algebra, including the theory of determinant
Determinant
In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific arithmetic expression, while other ways to determine its value exist as well...

s, with the general calculus of symbols, and with the application of analysis to geometry and mechanics.

The following brief review of his mathematical work is quoted from the obituary notice which appeared in the Proceedings of tile Royal Society (xxxviii. 34):
The interesting series of communications on the contact of curves and surfaces which are contained in the Philosophical Transactions of 1862 and subsequent years would alone account for the high rank he obtained as a mathematician. - - - The mastery which he had obtained over the mathematical symbols was so complete that he never shrank from the use of expressions, however complicated nay, the more complicated they were the more he seemed to revel in themprovided they did not sin against the ruling spirit of all his work symmetry. To a mind imbued with the love of mathematical symmetry the study of determinants had naturally every attraction. In 1851 Mr Spottiswoode published in the form of a pamphlet an account of some elementary theorems on the subject. This having fallen out of print, permission was sought by the editor of Crelle to reproduce it in the pages of that journal. Mr Spottiswoode granted the request and undertook to revise his work. The subject had, however, been so extensively developed in the interim that it proved necessary not merely to revise it but entirely to rewrite the work, which became a memoir of 116 pages. To this, the first elementary treatise on determinants, much of the rapid development of the subject is due. The effect of the study on Mr Spottiswoodes own methods was most pronounced; there is scarcely a page of his mathematical writings that does not bristle with determinants. His papers, numbering over 100, were published principally in the Philosophical Transactions, Proceedings of the Royal Society, Quarterly Journal of Mathematics, Proceedings of the London Mathematical Society and Crelle, and one or two in the Comptes rendus of the Paris Academy; a list of them, arranged according to the several journals in which they originally appeared, with short notes upon the less familiar memoirs, is given in Nature, xxvii, 599.

Publications

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