×

Chebyshev’s influence on the development of mathematics. (Translated by O. Sheynin). (English) Zbl 0991.01018

The original Russian version written by a leading Soviet mathematician and member of the Paris Academy of Sciences appeared in 1947. The author describes Chebyshev’s biography, indicates the main features of his scientific method (unification of theory and practice; no inclination to general studies without concrete aim; clever use of elementary methods and tricks) and discusses his work. Main attention is given to such fields as distribution of prime numbers; the theory of orthogonal polynomials; creation of the constructive theory of functions; theory of probability. A short comment on the work of two students of Chebyshev, Markov and Lyapunov, concludes the author’s account.

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
01A55 History of mathematics in the 19th century
01A75 Collected or selected works; reprintings or translations of classics
11-03 History of number theory
60-03 History of probability theory
30-03 History of functions of a complex variable
33-03 History of special functions

Biographic References:

Chebyshev, P. L.
PDFBibTeX XMLCite