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 classi ...

. 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 objec ...

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 (B ...

. 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 universiti ...

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 mecha ...

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 ...

's mother.

Works

References

External links

*
Hermann's Phoronomia
1678 births 1733 deaths 18th-century Swiss mathematicians Members of the French Academy of Sciences {{europe-mathematician-stub