Contents 1 Early life 2 Mathematical work 3 Economics and statistics 4 Physics 5 See also 6 References 6.1 Footnotes 6.2 Works cited 7 External links Early life[edit] Frontpage of
This section needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (February 2018) (Learn how and when to remove this template message) His earliest mathematical work was the Exercitationes (Mathematical
Exercises), published in 1724 with the help of Goldbach. Two years
later he pointed out for the first time the frequent desirability of
resolving a compound motion into motions of translation and motion of
rotation. His chief work is Hydrodynamica, published in 1738; it
resembles Joseph Louis Lagrange's Mécanique Analytique in being
arranged so that all the results are consequences of a single
principle, namely, conservation of energy. This was followed by a
memoir on the theory of the tides, to which, conjointly with the
memoirs by Euler and Colin Maclaurin, a prize was awarded by the
French Academy: these three memoirs contain all that was done on this
subject between the publication of Isaac Newton's Philosophiae
Naturalis Principia Mathematica and the investigations of Pierre-Simon
Laplace. Bernoulli also wrote a large number of papers on various
mechanical questions, especially on problems connected with vibrating
strings, and the solutions given by
1 2 ρ u 2 + P = constant displaystyle tfrac 1 2 rho u^ 2 +P= text constant where P is pressure, ρ is the density of the fluid and u is its
velocity. A consequence of this law is that if the velocity increases
then the pressure falls. This is exploited by the wing of an aeroplane
which is designed to create an area above its surface where the air
velocity increases. The pressure in this area is lower than that under
the wing, so the wing is pushed upwards by the relatively higher
pressure under the wing.
Economics and statistics[edit]
In his 1738 book Specimen theoriae novae de mensura sortis (Exposition
of a New Theory on the Measurement of Risk)[9], Bernoulli offered a
solution to the
Bernoulli's principle Euler-Bernoulli beam equation St. Petersburg paradox References[edit] Footnotes[edit] ^ Mangold, Max (1990) Duden — Das Aussprachewörterbuch. 3. Auflage.
Mannheim/Wien/Zürich, Dudenverlag.
^ a b Rothbard, Murray.
Works cited[edit] (Original entry based on the public domain Rouse History of
Mathematics)
[Anon.] (1911) "Bernoulli, Encyclopædia Britannica
Cardwell, D.S.L. (1971). From Watt to Clausius: The Rise of
External links[edit] Wikimedia Commons has media related to Daniel Bernoulli. "Bernoulli Daniel". Mathematik.ch. Retrieved 2007-09-07.
Rothbard, Murray.
v t e
This section does not cite any sources. Please help improve this section by adding citations to reliable sources. Unsourced material may be challenged and removed. (April 2015) (Learn how and when to remove this template message)
Nicolaus Bernoulli (1623–1708)
Jacob Bernoulli (1654–1705)
Nicolaus Bernoulli (1662–1716)
Johann Bernoulli (1667–1748)
Nicolaus I Bernoulli (1687–1759)
Nicolaus II Bernoulli (1695–1726)
Daniel Bernoulli (1700–1782)
Johann II Bernoulli (1710–1790)
Johann III Bernoulli (1744–1807)
Daniel II Bernoulli (1751–1834)
Nicolaus IV Bernoulli (1754–1841)
Jakob II Bernoulli (1759–1789)
Nicolaus (1793–1876)
Fritz (1824–1913)
Theodor (1837–1909)
Hermann Hesse (1877–1962)
Maria Bernoulli (1868–1963)
Elisabeth Bernoulli (1873–1935)
Hans Benno Bernoulli (1876–1959)
Notes Family tree of the Bernoulli family Authority control WorldCat Identities VIAF: 97164633 LCCN: n50007698 ISNI: 0000 0000 9018 961X GND: 118656503 SELIBR: 178083 SUDOC: 031854338 BNF: cb122991859 (data) BPN: 30303734 BIBSYS: 90328905 HDS: 14283 MGP: 108998 NKC: ola2002152849 BNE: XX1612 |