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, mathematical structure, structure, space, Mathematica ...
and geologist. He is famous as a private tutor of aspiring undergraduate
Cambridge
Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
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, in
Nottinghamshire
Nottinghamshire (; abbreviated ''Notts.'') is a ceremonial county in the East Midlands of England. The county is bordered by South Yorkshire to the north-west, Lincolnshire to the east, Leicestershire to the south, and Derbyshire to the west. Th ...
, the only son of William Hopkins, a gentleman farmer. In his youth he learned practical agriculture in
Norfolk
Norfolk ( ) is a Ceremonial counties of England, ceremonial county in England, located in East Anglia and officially part of the East of England region. It borders Lincolnshire and The Wash to the north-west, the North Sea to the north and eas ...
before his father rented him a small farm at
Bury St Edmunds
Bury St Edmunds (), commonly referred to locally as ''Bury,'' is a cathedral as well as market town and civil parish in the West Suffolk District, West Suffolk district, in the county of Suffolk, England.OS Explorer map 211: Bury St. Edmunds an ...
, 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. 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 title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned or professional societies, the term refers ...
. He instead maintained himself as a private tutor, coaching the young mathematicians who sought the prestigious distinction of
Senior Wrangler
The Senior 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 achiev ...
. 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 British mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.
He ...
and
G. G. Stokes
Sir George Gabriel Stokes, 1st Baronet, (; 13 August 1819 – 1 February 1903) was an Irish mathematician and physicist. Born in County Sligo, Ireland, Stokes spent his entire career at the University of Cambridge, where he served as the Lucasi ...
. 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, he was the Professor of Natural Philosophy (Glasgow), professor of Natur ...
,
James Clerk Maxwell
James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish physicist and mathematician who was responsible for the classical theory of electromagnetic radiation, which was the first theory to describe electricity, magnetism an ...
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, ...
.
Francis Galton
Sir Francis Galton (; 16 February 1822 – 17 January 1911) was an English polymath and the originator of eugenics during the Victorian era; his ideas later became the basis of behavioural genetics.
Galton produced over 340 papers and b ...
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, he was the Professor of Natural Philosophy (Glasgow), professor of Natur ...
(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, he was the Professor of Natural Philosophy (Glasgow), professor of Natur ...
helped to make Green's 1828 work famous.
Geology
About 1833, through meeting
Adam Sedgwick
Adam Sedgwick FRS (; 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 ...
at
Barmouth
Barmouth (formal ; colloquially ) is a seaside town and community in the county of Gwynedd, north-west Wales; it lies on the estuary of the Afon Mawddach and Cardigan Bay. Located in the historic county of Merionethshire, the Welsh form of t ...
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 Planetary habitability, harbor life. This is enabled by Earth being an ocean world, the only one in the Solar System sustaining liquid surface water. Almost all ...
'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 and National parks of the United Kingdom, national park in Cumbria, North West England. It is famous for its landscape, including its lakes, coast, and mou ...
, 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, West Sussex, East Sussex, and Kent. It has three parts, the sandstone "High W ...
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 (Commonwealth 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. Herring, ''General ...
s or
fluid
In physics, a fluid is a liquid, gas, or other material that may continuously motion, move and Deformation (physics), deform (''flow'') under an applied shear stress, or external force. They have zero shear modulus, or, in simpler terms, are M ...
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 today for his association with Charles ...
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 progra ...
, 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 o ...
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 fra ...
, 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 commonly defined as a vent or fissure 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 oft ...
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 Chief ...
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 eve ...
s on the
melting point
The melting point (or, rarely, liquefaction point) of a substance is the temperature at which it changes state of matter, state from solid to liquid. At the melting point the solid and liquid phase (matter), phase exist in Thermodynamic equilib ...
and
thermal conductivity
The thermal conductivity of a material is a measure of its ability to heat conduction, conduct heat. It is commonly denoted by k, \lambda, or \kappa and is measured in W·m−1·K−1.
Heat transfer occurs at a lower rate in materials of low ...
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. Joule studied the nature of heat and discovered its relationship to mechanical work. This led to the law of conservation of energy, which in turn led to the ...
and
William Fairbairn
Sir William Fairbairn, 1st Baronet of Ardwick (19 February 1789 – 18 August 1874) was a Scotland, Scottish civil engineer, structural engineer and shipbuilder. In 1854 he succeeded George Stephenson and Robert Stephenson to become the third ...
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 a region, 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 meteoro ...
.
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'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 (; or ) is a persistent body of dense ice, a form of rock, that is constantly moving downhill under its own weight. A glacier forms where the accumulation of snow exceeds its ablation over many years, often centuries. It acquires ...
s and the transport of
glacial erratic
A glacial erratic is a glacially deposited rock (geology), rock differing from the type of country rock (geology), rock native to the area in which it rests. Erratics, which take their name from the Latin word ' ("to wander"), are carried by gla ...
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, insane asylum or mental asylum was an institution where people with mental illness were confined. It was an early precursor of the modern psychiatric hospital.
Modern psychiatric hospitals evolved from and eventually replace ...
in
Stoke Newington
Stoke Newington is an area in the northwest part of the London Borough of Hackney, England. The area is northeast of Charing Cross. The Manor of Stoke Newington gave its name to Stoke Newington (parish), Stoke Newington, the ancient parish. S ...
. He died there of chronic
mania
Mania, also known as manic syndrome, is a Psychiatry, psychiatric Abnormality (behavior), behavioral syndrome defined as a state of Abnormality (behavior), abnormally elevated arousal, affect (psychology), affect, and energy level. During a mani ...
and
exhaustion.
He had, with his second wife, one son and three daughters, among them morality campaigner
Ellice Hopkins.
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 of three or more days scheduled duration between two sides of eleven players each and is officially adju ...
from 1825 to 1828. He was mainly associated with
Cambridge University Cricket Club
Cambridge University Cricket Club, established in 1820, is the representative cricket club for students of the University of Cambridge. The club was recognised as holding first-class cricket, first-class status until 2020. The university played ...
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 Fellows 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 and the highest award granted by the Geological Society of London, the oldest geological society in the world. The medal is named after William Hyde Wollaston, and was first awarded in 1831. I ...
(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:
Arts and entertainment Film and television
*'' Præsident ...
(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 Chief ...
(1853)
Notes
References
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Attribution:
* Endnotes:
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Further reading
*
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External links
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{{DEFAULTSORT:Hopkins, William
1793 births
1866 deaths
People from Rushcliffe (district)
19th-century English 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 of 1787 to 1825
English cricketers of 1826 to 1863
Cambridge University cricketers
Presidents of the Cambridge Philosophical Society