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William Hopkins FRS (2 February 179313 October 1866) was an English
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and geologist. He is famous as a private tutor of aspiring undergraduate
Cambridge Cambridge ( ) is a university city and the county town in Cambridgeshire, England. It is located on the River Cam approximately north of London. As of the 2021 United Kingdom census, the population of Cambridge was 145,700. Cambridge bec ...
mathematicians, earning him the ''sobriquet'' the " senior-wrangler maker." He also made important contributions in asserting a solid, rather than fluid, interior for the Earth and explaining many geological phenomena in terms of his model. However, though his conclusions proved to be correct, his mathematical and physical reasoning were subsequently seen as unsound.


Early life

Hopkins was born at
Kingston-on-Soar Kingston on Soar is a village and civil parish in the Rushcliffe borough of Nottinghamshire, England. Description Setting Kingston on Soar predominantly lies within the Trent Washlands character area, and partially in the Nottinghamshire ...
, in
Nottinghamshire Nottinghamshire (; abbreviated Notts.) is a landlocked county in the East Midlands region of England, bordering South Yorkshire to the north-west, Lincolnshire to the east, Leicestershire to the south, and Derbyshire to the west. The traditi ...
, the only son of William Hopkins, a gentleman farmer. In his youth he learned practical agriculture in
Norfolk Norfolk () is a ceremonial and non-metropolitan county in East Anglia in England. It borders Lincolnshire to the north-west, Cambridgeshire to the west and south-west, and Suffolk to the south. Its northern and eastern boundaries are the No ...
before his father rented him a small farm at
Bury St Edmunds Bury St Edmunds (), commonly referred to locally as Bury, is a historic market town, market, cathedral town and civil parish in Suffolk, England.OS Explorer map 211: Bury St.Edmunds and Stowmarket Scale: 1:25 000. Publisher:Ordnance Survey – ...
, Suffolk. However, Hopkins was unsuccessful as a farmer and, when his first wife died sometime around 1821, he took the opportunity to mitigate his losses and enter St Peter's College (now Peterhouse) at the University of Cambridge, taking his degree of B.A. in 1827 as seventh wrangler and
M.A. A Master of Arts ( la, Magister Artium or ''Artium Magister''; abbreviated MA, M.A., AM, or A.M.) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Tho ...
in 1830..


Wrangler maker

Before graduation, Hopkins had married Caroline Frances Boys (1799–1881) and was, therefore, ineligible for a
fellowship A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...
. He instead maintained himself as a private tutor, coaching the young mathematicians who sought the prestigious distinction of
Senior Wrangler The Senior Frog Wrangler is the top mathematics undergraduate at the University of Cambridge in England, a position which has been described as "the greatest intellectual achievement attainable in Britain." Specifically, it is the person who a ...
. He was enormously successful in the role, earning the ''sobriquet'' senior wrangler maker and grossing £700–800 annually. By 1849, he had coached almost 200 wranglers, of whom 17 were senior wranglers including
Arthur Cayley Arthur Cayley (; 16 August 1821 – 26 January 1895) was a prolific United Kingdom of Great Britain and Ireland, British mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics. As a child, C ...
and
G. G. Stokes Sir George Gabriel Stokes, 1st Baronet, (; 13 August 1819 – 1 February 1903) was an Irish English physicist and mathematician. Born in County Sligo, Ireland, Stokes spent all of his career at the University of Cambridge, where he was the Luc ...
. Among his more famous pupils were
Lord Kelvin William Thomson, 1st Baron Kelvin, (26 June 182417 December 1907) was a British mathematician, Mathematical physics, mathematical physicist and engineer born in Belfast. Professor of Natural Philosophy (Glasgow), Professor of Natural Philoso ...
,
James Clerk Maxwell James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish mathematician and scientist responsible for the classical theory of electromagnetic radiation, which was the first theory to describe electricity, magnetism and ligh ...
and
Isaac Todhunter Isaac Todhunter FRS (23 November 1820 – 1 March 1884), was an English mathematician who is best known today for the books he wrote on mathematics and its history. Life and work The son of George Todhunter, a Nonconformist minister, an ...
.
Francis Galton Sir Francis Galton, FRS FRAI (; 16 February 1822 – 17 January 1911), was an English Victorian era polymath: a statistician, sociologist, psychologist, anthropologist, tropical explorer, geographer, inventor, meteorologist, proto- ...
praised his teaching style: He also coached
Edward Routh Edward John Routh (; 20 January 18317 June 1907), was an English mathematician, noted as the outstanding coach of students preparing for the Mathematical Tripos examination of the University of Cambridge in its heyday in the middle of the ninet ...
who went on to be Senior Wrangler and himself a prodigious "wrangler maker". In 1833, Hopkins published ''Elements of Trigonometry'' and became distinguished for his mathematical knowledge. There was a famous story that the theory of George Green (1793–1841) was almost forgotten. In 1845,
Lord Kelvin William Thomson, 1st Baron Kelvin, (26 June 182417 December 1907) was a British mathematician, Mathematical physics, mathematical physicist and engineer born in Belfast. Professor of Natural Philosophy (Glasgow), Professor of Natural Philoso ...
(William Thomson, a young man in 1845) got some copies of Green's 1828 short book from William Hopkins. Subsequently,
Lord Kelvin William Thomson, 1st Baron Kelvin, (26 June 182417 December 1907) was a British mathematician, Mathematical physics, mathematical physicist and engineer born in Belfast. Professor of Natural Philosophy (Glasgow), Professor of Natural Philoso ...
helped to make Green's 1828 work famous according to the book "George Green" written by D.M. Cannell.


Geology

About 1833, through meeting
Adam Sedgwick Adam Sedgwick (; 22 March 1785 – 27 January 1873) was a British geologist and Anglican priest, one of the founders of modern geology. He proposed the Cambrian and Devonian period of the geological timescale. Based on work which he did on W ...
at
Barmouth Barmouth ( cy, Abermaw (formal); ''Y Bermo'' (colloquial)) is a seaside town and community (Wales), community in the county of Gwynedd, northwestern Wales, lying on the estuary of the Afon Mawddach and Cardigan Bay. Located in the Historic coun ...
and joining him in several excursions, Hopkins became intensely interested in geology. From then on, in papers published by the
Cambridge Philosophical Society The Cambridge Philosophical Society (CPS) is a scientific society at the University of Cambridge. It was founded in 1819. The name derives from the medieval use of the word philosophy to denote any research undertaken outside the fields of law ...
and the
Geological Society of London The Geological Society of London, known commonly as the Geological Society, is a learned society based in the United Kingdom. It is the oldest national geological society in the world and the largest in Europe with more than 12,000 Fellows. Fe ...
, he defined the discipline of physical geology, making mathematical investigations dealing with the effects that an elevatory force, acting from below, would produce on a portion of the
Earth Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surfa ...
's crust, in fissures and faults. In this way he discussed the elevation and denudation of the
Lake District The Lake District, also known as the Lakes or Lakeland, is a mountainous region in North West England. A popular holiday destination, it is famous for its lakes, forests, and mountains (or ''fells''), and its associations with William Wordswor ...
, the
Weald The Weald () is an area of South East England between the parallel chalk escarpments of the North and the South Downs. It crosses the counties of Hampshire, Surrey, Sussex and Kent. It has three separate parts: the sandstone "High Weald" in the ...
en area, and the Bas Boulonnais. Hopkins conceived of a largely solid but dynamic Earth threaded with cavities whereby hot
vapour In physics, a vapor (American English) or vapour (British English and Canadian English; see spelling differences) is a substance in the gas phase at a temperature lower than its critical temperature,R. H. Petrucci, W. S. Harwood, and F. G. Herr ...
s or
fluid In physics, a fluid is a liquid, gas, or other material that continuously deforms (''flows'') under an applied shear stress, or external force. They have zero shear modulus, or, in simpler terms, are substances which cannot resist any shear ...
s could create locally elevatory pressures. Such a model was at odds with the ideas of
Charles Lyell Sir Charles Lyell, 1st Baronet, (14 November 1797 – 22 February 1875) was a Scottish geologist who demonstrated the power of known natural causes in explaining the earth's history. He is best known as the author of ''Principles of Geolo ...
whose theory was of a "steady state" with a largely liquid terrestrial interior, inside a solid crust no more than 100 miles thick. Hopkins presented a series of papers at the
Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
between 1838 and 1842 analysing the
Earth's rotation Earth's rotation or Earth's spin is the rotation of planet Earth around its own Rotation around a fixed axis, axis, as well as changes in the orientation (geometry), orientation of the rotation axis in space. Earth rotates eastward, in retrograd ...
, including its
precession Precession is a change in the orientation of the rotational axis of a rotating body. In an appropriate reference frame it can be defined as a change in the first Euler angle, whereas the third Euler angle defines the rotation itself. In othe ...
and
nutation Nutation () is a rocking, swaying, or nodding motion in the axis of rotation of a largely axially symmetric object, such as a gyroscope, planet, or bullet in flight, or as an intended behaviour of a mechanism. In an appropriate reference frame ...
, and using observations to support his theory, contending that they were inconsistent with a fluid interior. He also interpreted earthquakes and
volcano A volcano is a rupture in the crust of a planetary-mass object, such as Earth, that allows hot lava, volcanic ash, and gases to escape from a magma chamber below the surface. On Earth, volcanoes are most often found where tectonic plates are ...
es through the same model in an 1847
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 Chie ...
report. As part of his investigations, Hopkins sought to quantify the effects of enormous
pressure Pressure (symbol: ''p'' or ''P'') is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure (also spelled ''gage'' pressure)The preferred spelling varies by country and e ...
s on the
melting point The melting point (or, rarely, liquefaction point) of a substance is the temperature at which it changes state from solid to liquid. At the melting point the solid and liquid phase exist in equilibrium. The melting point of a substance depends ...
and
thermal conductivity The thermal conductivity of a material is a measure of its ability to conduct heat. It is commonly denoted by k, \lambda, or \kappa. Heat transfer occurs at a lower rate in materials of low thermal conductivity than in materials of high thermal ...
of various substances. With the support of a grant from the Royal Society, he invoked the assistance of Thomson,
James Prescott Joule James Prescott Joule (; 24 December 1818 11 October 1889) was an English physicist, mathematician and brewer, born in Salford, Lancashire. Joule studied the nature of heat, and discovered its relationship to mechanical work (see energy). Th ...
and
William Fairbairn Sir William Fairbairn, 1st Baronet of Ardwick (19 February 1789 – 18 August 1874) was a Scottish civil engineer, structural engineer Structural engineers analyze, design, plan, and research structural components and structural systems ...
to make measurements which he interpreted as supporting his theory. He further asserted that the cooling of the Earth had had no real impact on
climate Climate is the long-term weather pattern in an area, typically averaged over 30 years. More rigorously, it is the mean and variability of meteorological variables over a time spanning from months to millions of years. Some of the meteorologic ...
. He read a paper to the Geological Society ''On the Causes which may have produced changes in the Earth's superficial Temperature'' (1851). In his second address as president of the Geological Society of London (1853) he criticised
Elie de Beaumont Elie and Earlsferry is a coastal town and former royal burgh in Fife, and parish, Scotland, situated within the East Neuk beside Chapel Ness on the north coast of the Firth of Forth, eight miles east of Leven. The burgh comprised the linked vi ...
's theory of the elevation of mountain-chains and the imperfect evidence on which he saw it as resting. Ultimately, it was Thomson who tactfully pointed out that, though Hopkins's conclusions about the Earth's structure were correct, his mathematical and physical reasoning was unsound.


Glaciology

Hopkins wrote also on the motion of
glacier A glacier (; ) is a persistent body of dense ice that is constantly moving under its own weight. A glacier forms where the accumulation of snow exceeds its Ablation#Glaciology, ablation over many years, often Century, centuries. It acquires dis ...
s and the transport of
glacial erratic A glacial erratic is glacially deposited rock differing from the type of rock native to the area in which it rests. Erratics, which take their name from the Latin word ' ("to wander"), are carried by glacial ice, often over distances of hundred ...
s but trespassed on the sensitivities of J. D. Forbes who saw the subject as his personal fiefdom and was contemptuous of Hopkins's lack of observational experience in the subject.


Private life

Hopkins enjoyed music, poetry and landscape painting. He spent the end of his life in a
lunatic asylum The lunatic asylum (or insane asylum) was an early precursor of the modern psychiatric hospital. The fall of the lunatic asylum and its eventual replacement by modern psychiatric hospitals explains the rise of organized, institutional psychiatry ...
in
Stoke Newington Stoke Newington is an area occupying the north-west part of the London Borough of Hackney in north-east London, England. It is northeast of Charing Cross. The Manor of Stoke Newington gave its name to Stoke Newington the ancient parish. The ...
. He died there of chronic
mania Mania, also known as manic syndrome, is a mental and behavioral disorder defined as a state of abnormally elevated arousal, affect, and energy level, or "a state of heightened overall activation with enhanced affective expression together wit ...
and
exhaustion Fatigue describes a state of tiredness that does not resolve with rest or sleep. In general usage, fatigue is synonymous with extreme tiredness or exhaustion that normally follows prolonged physical or mental activity. When it does not resolve ...
. He had, with his second wife, one son and three daughters, among them morality campaigner
Ellice Hopkins Ellice Hopkins (30 October 1836 – 21 August 1904) was a Victorian social campaigner and author. Hopkins co-founded the White Cross Army in 1883, and vigorously advocated moral purity while criticising contemporary sexual double standards ...
. He played
first-class cricket First-class cricket, along with List A cricket and Twenty20 cricket, is one of the highest-standard forms of cricket. A first-class match is one of three or more days' scheduled duration between two sides of eleven players each and is officiall ...
from 1825 to 1828. He was mainly associated with
Cambridge University Cricket Club Cambridge University Cricket Club, first recorded in 1817, is the representative cricket club for students of the University of Cambridge. Depending on the circumstances of each individual match, the club has always been recognised as holding ...
and made 4 known appearances in first-class matches.CricketArchive
Retrieved 8 August 2009.


Honours

*
Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, incl ...
(1 June 1837) *
Geological Society of London The Geological Society of London, known commonly as the Geological Society, is a learned society based in the United Kingdom. It is the oldest national geological society in the world and the largest in Europe with more than 12,000 Fellows. Fe ...
: **
Wollaston Medal The Wollaston Medal is a scientific award for geology, the highest award granted by the Geological Society of London. The medal is named after William Hyde Wollaston, and was first awarded in 1831. It was originally made of gold (1831–1845), t ...
(1850) **
President President most commonly refers to: *President (corporate title) *President (education), a leader of a college or university *President (government title) President may also refer to: Automobiles * Nissan President, a 1966–2010 Japanese ful ...
(1851) *President of the
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 Chie ...
(1853)


Notes


References

* * * Attribution: * Endnotes: **


Further reading

* *


External links

* * * {{DEFAULTSORT:Hopkins, William 1793 births 1866 deaths People from Rushcliffe (district) 19th-century British geologists 19th-century English mathematicians Fellows of the Royal Society Presidents of the Geological Society of London Wollaston Medal winners Alumni of Peterhouse, Cambridge English cricketers English cricketers of 1787 to 1825 English cricketers of 1826 to 1863 Cambridge University cricketers