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Euler, Leonhard

Euler, Leonhard (1707—1783). Swiss mathematician who lived in St Petersburg over 30 years during the reign of Catherine the Great. [Pg.215]

Euler, Leonhard (1707-1783) Swiss mathematician, professor in St. Petersburg and Basel. [Pg.601]

Elgersma Henry, 915 Eliason Morton A., 885 Elkadi Yasser, 669 Epstein Saul T., 254 Eremetz Mikhail L, 948 Euler Leonhard, 235,... [Pg.1022]

Einstein Hans Albert 104 Eisenschitz Robert Karl 717 Elber Ron 156 Elgersma Henry 793 Eliason Morton A. 764 Elkadi Yasser 573 Endo Junji 3 Epstein Saul T. 214 Eremetz Mikhail I. 827 Euler Leonhard 198, 246, 336, 342, 346, 350, 588, 776, 779... [Pg.1067]

From this kind of continuum mechanics one can move further towards the domain of almost pure mathematics until one reaches the field of rational mechanics, which harks back to Joseph Lagrange s (1736-1813) mechanics of rigid bodies and to earlier mathematicians such as Leonhard Euler (1707-1783) and later ones such as Augustin Cauchy (1789-1857), who developed the mechanics of deformable bodies. The preeminent exponent of this kind of continuum mechanics was probably Clifford Truesdell in Baltimore. An example of his extensive writings is A First Course in... [Pg.47]

A special irrational number known in mathematics as the Euler number in honor of the prolific Swiss mathematician Leonhard Euler (1707-1783). This number is the least upper bound of the set of all numbers... [Pg.218]

PROBLEM 2.20.7. The gamma function I (x), invented by Leonhard Euler, is given by either of two integrals ... [Pg.114]

The Froude number described above is frequently used for the description of radial and axial flotvs in liquid media when the pressure difference along a mixing device is important. When cavitation problems are present, the dimensionless group (Pj — p,) /pw - called the Euler number - is commonly used. Here p is the liquid vapour saturation pressure and p is a reference pressure. This number is named after the Swiss mathematician Leonhard Euler (1707-1783) who performed the pioneering work showing the relationship between pressure and flow (basic static fluid equations and ideal fluid flow equations, which are recognized as Euler equations). [Pg.515]

Prime numbers do not occur in a predictable way. There are sequences of primes which can be partially described in a formula, but sooner or later the formula breaks down. One formula, invented by Marin Mersenne (1588-1648) is 2P - 1, where p is a prime number. Although this formula generates many primes, it also misses many primes. Another formula, invented by Leonhard Euler (1707-1783), generates prime numbers regularly for the series of consecutive numbers from 0 to 15 and then stops. The formula is + x + 17, in which x is any number from 0 to 15. [Pg.609]

Fermat had one of the most famous failures. He thought that if he squared 2 and then raised the square of 2 to a higher power, which he labeled n (a whole number), then the results would be nothing but primes. His formula looks like this 22" + 1 = a prime number. This formula appeared to work until Leonhard Euler proved it wrong. Euler found that if 5 is substituted for n in the formula 22n + 1, the resulting number is 4,294,967,297, which can be divided equally by 641 and 6,700,417. [Pg.610]

The Catalan numbers could have also been called the Euler numbers because they were discovered by Leonhard Euler (1707-1783) for counting... [Pg.424]

Auguste-Louis Cauchy (1789-1857) was, as a contemporary of Leonhard Euler and Carl-Friedrich Gauss, one of the most important mathematicians of the first half of the 19th century. His most famous publications are Traite des Fonctions and Mechanique Analytique . As he refused to take the oath to the new regime after the revolution in 1830, his positions as professor at the Ecole Polytechnique and at the College de France were removed and he was dismissed from the Academie Francaise. He spent several years in exile in Switzerland, Turin and Prague. He was permitted to return to France in 1838, and it was there that he was reinstated as a professor at the Sorbonne after the revolution in 1848. [Pg.270]

Continuum mechanics is to a large degree based on the Leonhard Euler (1707-1783) axioms published in his book Mechanica in 1736-1737. [Pg.188]

At an elementary level, one of the dogmas taught to almost every chemist is that in thermodynamics only differences bctwmi thermodjmamic potentials at various state points matter. This is essentiallj a consequence of the discussion in Section 1.3 where we emphasized that exact differentials exist for thermodynamic potentials such as 14, S, T, Q, or fl. These potentials therefore satisfy Eq. (1.18). However, one is frequently confronted with the problem of calculating absolute values of thennodynamic potentials theoretically. An example is the determination of phase equilibria, which is one of the key issues in this book cliapter. In this context a theorem associated with the Swiss mathematician Leonhard Euler is quite useful. We elaborate on Euler s theorem in Appendix A.3 where we also introduce the notion of homogeneous functions of degree k. [Pg.26]

The base of natural logarithms, < , is named after Leonhard Euler, 1707-1783, a great Swiss mathematician. Naperian logarithms are named after John Napier, 1550-1617, a Scottish landowner, theologian, and mathematician, who was one of the inventors of logarithms. [Pg.9]


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Differentiability Euler, Leonhard

Euler

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