![Jakob Hermann](https://upload.wikimedia.org/wikipedia/commons/c/c5/Jakob_Hermann.png)
Jakob Hermann (16 July 1678 – 11 July 1733)
was a mathematician who worked on problems in
classical mechanics
Classical mechanics is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars, and galaxies. For objects governed by classical ...
. He is the author of ''Phoronomia'', an early treatise on
Mechanics
Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
in Latin, which has been translated by Ian Bruce in 2015-16. In 1729, he proclaimed that it was as easy to graph a locus on the polar coordinate system as it was to graph it on the Cartesian coordinate system.
He appears to have been the first to show that the
Laplace–Runge–Lenz vector
In classical mechanics, the Laplace–Runge–Lenz (LRL) vector is a vector used chiefly to describe the shape and orientation of the orbit of one astronomical body around another, such as a binary star or a planet revolving around a star. For t ...
is a
constant of motion In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion. However, it is a ''mathematical'' constraint, the natural consequence of the equations of motion, rather than ...
for particles acted upon by an inverse-square
central force
In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force.
: \vec = \mathbf(\mathbf) = \left\vert F( \mathbf ) \right\vert \hat
where \vec F is the force, F is a vecto ...
.
Hermann was born and died in
Basel
, french: link=no, Bâlois(e), it, Basilese
, neighboring_municipalities= Allschwil (BL), Hégenheim (FR-68), Binningen (BL), Birsfelden (BL), Bottmingen (BL), Huningue (FR-68), Münchenstein (BL), Muttenz (BL), Reinach (BL), Riehen (BS ...
. He received his mathematical training from
Jacob Bernoulli
Jacob Bernoulli (also known as James or Jacques; – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Le ...
at the
University of Basel
The University of Basel (Latin: ''Universitas Basiliensis'', German: ''Universität Basel'') is a university in Basel, Switzerland. Founded on 4 April 1460, it is Switzerland's oldest university and among the world's oldest surviving universit ...
and graduated with a degree in 1695. In 1696, he obtained a Master's Degree by defending a dissertation on infinite series. Jacob Bernoulli considered Hermann to be the best of his many students at the university and when Jacob Bernoulli died in 1705,
Gottfried Leibniz
Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of mathem ...
asked Hermann to write an obituary for Bernoulli in
Acta Eruditorum
(from Latin: ''Acts of the Erudite'') was the first scientific journal of the German-speaking lands of Europe, published from 1682 to 1782.
History
''Acta Eruditorum'' was founded in 1682 in Leipzig by Otto Mencke, who became its first editor, ...
. He became a member of the Berlin Academy in 1701. He was appointed to a chair in mathematics in
Padua
Padua ( ; it, Padova ; vec, Pàdova) is a city and ''comune'' in Veneto, northern Italy. Padua is on the river Bacchiglione, west of Venice. It is the capital of the province of Padua. It is also the economic and communications hub of the ...
in 1707, but moved to
Frankfurt an der Oder
Frankfurt (Oder), also known as Frankfurt an der Oder (), is a city in the German state of Brandenburg. It has around 57,000 inhabitants, is one of the easternmost cities in Germany, the fourth-largest city in Brandenburg, and the largest German ...
in 1713, and thence to St. Petersburg in 1724. In St.Petersburg, he worked closely together with
Daniel Bernoulli
Daniel Bernoulli FRS (; – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechan ...
who succeeded him in his post
as he returned to Basel in 1731 to take a chair in ethics and natural law.
Hermann was elected to the ''Académie Royale des Sciences'' (Paris) in 1733, the year of his death.
Hermann was a second cousin of
Leonhard Euler
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
's mother.
Works
*
References
External links
*
Hermann's Phoronomia
1678 births
1733 deaths
18th-century Swiss mathematicians
Members of the French Academy of Sciences
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