Jakob Hermann (16 July 1678 – 11 July 1733) was a mathematician who worked on problems in

classical mechanics Classical mechanics is a Theoretical physics, physical theory describing the motion of objects such as projectiles, parts of Machine (mechanical), machinery, spacecraft, planets, stars, and galaxies. The development of classical mechanics inv ...

. He is the author of ''Phoronomia'', an early treatise on

mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...

Latin Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...

, 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 vector (LRL vector) is a vector (geometric), vector used chiefly to describe the shape and orientation of the orbit (celestial mechanics), orbit of one astronomical body around another, such as a ...

is a constant of motion 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. \mathbf(\mathbf) = F( \mathbf ) where F is a force vector, ''F'' is a scalar valued force function (whose abso ...

. Hermann was born and died in

Basel Basel ( ; ), also known as Basle ( ), ; ; ; . is a city in northwestern Switzerland on the river Rhine (at the transition from the High Rhine, High to the Upper Rhine). Basel is Switzerland's List of cities in Switzerland, third-most-populo ...

. He received his mathematical training from

Jacob Bernoulli Jacob Bernoulli (also known as James in English or Jacques in French; – 16 August 1705) was a Swiss mathematician. He sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy and was an early proponent of Leibniz ...

at the

University of Basel The University of Basel (Latin: ''Universitas Basiliensis''; German: ''Universität Basel'') is a public research university in Basel, Switzerland. Founded on 4 April 1460, it is Switzerland's oldest university and among the world's oldest univ ...

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 Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Isaac Newton, Sir Isaac Newton, with the creation of calculus in ad ...

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 edit ...

. He became a member of the Berlin Academy in 1701. He was appointed to a chair in mathematics in

Padua Padua ( ) is a city and ''comune'' (municipality) in Veneto, northern Italy, and the capital of the province of Padua. The city lies on the banks of the river Bacchiglione, west of Venice and southeast of Vicenza, and has a population of 20 ...

in 1707, but moved to

Frankfurt an der Oder Frankfurt (Oder), also known as Frankfurt an der Oder (, ; Marchian dialects, Central Marchian: ''Frankfort an de Oder,'' ) is the fourth-largest city in the German state of Brandenburg after Potsdam, Cottbus and Brandenburg an der Havel. With a ...

in 1713, and thence to St. Petersburg in 1724. In St.Petersburg, he worked closely together with

Daniel Bernoulli Daniel Bernoulli ( ; ; – 27 March 1782) was a Swiss people, Swiss-France, French mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applicati ...

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 polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential ...

's mother.

Works

References

External links

*
Hermann's Phoronomia
{{DEFAULTSORT:Hermann, Jakob 1678 births 1733 deaths 18th-century Swiss mathematicians Members of the French Academy of Sciences