Mathematician:Pafnuty Lvovich Chebyshev

Mathematician
Russian mathematician whose work was mainly in the fields of probability, statistics and number theory.

He is best known for proving Bertrand's Postulate in $1850$. It has since been known as the Bertrand-Chebyshev Theorem.

Nationality
Russian

History

 * Born: May 16, 1821, Okatovo, Borovsk, Kaluga, Russia
 * Died: December 8, 1894, St Petersburg, Russia

Theorems and Definitions

 * Chebyshev Approximation
 * Chebyshev Bias
 * Chebyshev Cube Root
 * Chebyshev Distance
 * Chebyshev Filter


 * Chebyshev Functions:
 * First Chebyshev Function
 * Second Chebyshev Function


 * Chebyshev Linkage
 * Chebyshev Net
 * Chebyshev Node
 * Chebyshev Polynomials:
 * Chebyshev Polynomials of the First Kind
 * Chebyshev Polynomials of the Second Kind


 * Chebyshev's Equation
 * Chebychev-Grübler-Kutzbach Criterion
 * Chebyshev-Markov-Stieltjes Inequalities (with and )
 * Chebyshev Rational Functions
 * Chebyshev's Sum Inequality (also known as Chebyshev's Inequality)
 * Chebyshev's Theorem


 * Bertrand-Chebyshev Theorem (with )
 * Bienaymé-Chebyshev Inequality (with ) (also known as Chebyshev's Inequality)
 * Chebyshev-Sylvester Constant (with )
 * Gauss-Chebyshev Rule (with ), also known as the Gaussian Integration Rule
 * Roberts-Chebyshev Theorem (with )

Publications

 * 1847: On integration by means of logarithms
 * 1867: On mean values
 * 1887: On two theorems concerning probability

Notable Quotes

 * To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls.

Critical View

 * He was the only man ever able to cope with the refractory character and erratic flow of prime numbers and confine the stream of their progression within algebraic limits, building up, if I may say so, banks on either side which that stream, devious and irregular as are its windings, can never overflow.

Also known as
His name in Russian is presented as Пафну́тий Льво́вич Чебышёв.

His name can be seen transliterated into Latin script as Chebychev, Chebysev, Chebyshov, Tchebyshev, Tchebitchev, Tchebycheff or Tschebyscheff, according to the target language.

Some sources even use Čebyšev, but modern usage discourages the unnecessary use of diacritics.

Some sources render his middle name Livovich, but that may be a mistake.