Bernoulli genealogy
		Nicolaus Bernoulli (1623–1708)
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"Bernoulli brothers" (differential equations) Jacob Bernoulli (1654–1705)	Nicolaus Bernoulli (1662–1716)		"Bernoulli brothers" (differential equations) Johann Bernoulli (1667–1748) Student: Leonhard Euler
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Mathematics Genealogy Tree (According to which Johann Bernoulli, mentor to Leonhard Euler, is the mathematical father of thermodynamics [2])		Nicolaus II Bernoulli (1695–1726)	"Hydrodynamica" Daniel Bernoulli (1700–1782) Friend: Leonhard Euler	Johann II Bernoulli (1710–1790)

In genealogies, Bernoulli genealogy or "Bernoulli family" consists of the "Bernoulli brothers, Swiss mathematicians, brothers Jacob Bernoulli (1654-1705) and Johann Bernoulli (1667-1748), earlier developers of German mathematician Gottfried Leibniz' version of differential calculus, and Dutch-born physicist Daniel Bernoulli, one of the first pioneers of in the kinetic theory of gases.

Overview
In the history of differential equations, Swiss mathematicians, brothers Jacob Bernoulli (1654-1705) and Johann Bernoulli (1667-1748), the latter father of Daniel Bernoulli and mentor to Leonhard Euler (teacher of Joseph Lagrange), in Basel, Switzerland, were among the first interpreters of German mathematician Gottfried Leibniz' version of differential calculus.

They were both critical of English physicist Isaac Newton's theories and maintained that Newton’s theory of fluxions was plagiarized from Leibniz' original theories, and went to great lengths, using differential calculus, to disprove Newton’s Principia, on account that the brothers could not accept the theory, which Newton had proven, that the earth and the planets rotate around the sun in elliptical orbits. [1]

Noted students of Jacob Bernoulli include Jacob Hermann, noted for his 1716 ideas on heat, and Paul Euler, father of Leonhard Euler.

Other
Of note, German-born Swiss writer Hermann Hesse, noted for his 1943 novel The Glass Bead Game, which is said to be reminiscent of Johann Goethe's 1809 Elective Affinities, in the sense of its incorporation of modern science into the script as a sort of game employed by the players, is a forth generation by marriage descendant of Johann II Bernoulli. [3]

See also
● Euler genealogy
● Thomson genealogy

References
1. Tibell, Gunnar. (2008). “The Bernoulli Brothers”, Uppsala University.
2. Johann Bernoulli – Mathematics Genealogy Project.
3. Bernoulli family – Wikipedia.

External links
● Bernoulli family – Wichita State University.
● Bernoulli family – Library.ThinkQuest.org.