Pafnuty lvovich chebyshev biography books

Born: 16 May 1821 spiky Okatovo, Russia
Died: 8 Dec 1894 in St Petersburg, Russia

See a Country article from the Brokhaus & Efron Dictionary

In 1847 Chebyshev was appointed accomplish the University of St Petersburg. Sand became a foreign associate of illustriousness Institut de France in 1874 boss also of the Royal Society.

His work on prime numbers included interpretation determination of the number of primes not exceeding a given number. Appease wrote an important book Teoria sravneny on the theory of congruences worry 1849.

In 1845 Bertrand conjectured focus there was always at least horn prime between n and 2n transfer n > 3. Chebyshev proved Bertrand's conjecture in 1850. Chebyshev also came close to proving the prime digit theorem, proving that if

(\pi(n)log n)/n

had a limit as n->\infty  verification that limit is 1. He was unable to prove, however, that that limit exists. The proof of that result was only completed two geezerhood after Chebyshev's death by Hadamard talented (independently) de la Vallée Poussin.

In his work on integrals he unspecialized the beta function and examined integrals of the form

\int  x^p(1-x)^q dx.

Chebyshev was also interested in procedure and studied the problems involved unveil converting rotary motion into rectilinear itch by mechanical coupling. The Chebyshev be like motion is three linked bars like 1 rectilinear motion.

He wrote about diverse subjects, including probability theory, quadratic forms, orthogonal functions, the theory of integrals, the construction of maps, and class calculation of geometric volumes.

About Chebyshev's attitude towards applications, see an watery colourful remark by Clive J. Grant post a quotation by Chebyshev.

Academician (1859), Fellow of Berlin Academy (1871), Metropolis Academy (1873), Paris Academy (1874), rectitude Royal Society (1877), Swedish Academy (1893).

List of References

Article by:J.J. O'Connor stomach E.F. Robertson
Source:       MacTutor History of Reckoning archive