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Orthogonal polynomials and continued fractions : from Euler's point of view

Autore: S V Khrushchev
Editore: Cambridge : Cambridge University Press, 2008.
Serie: Encyclopedia of mathematics and its applications, 122.
Edizione/Formato:   Libro a stampa : EnglishVedi tutte le edizioni e i formati
Sommario:
"This new and exciting historical book tells how Euler introduced the idea of orthogonal polynomials and how he combined them with continued fractions, as well as how Brouncker's formula of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's  Per saperne di più…
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Persona incaricata: Leonhard Euler; Leonhard Euler; Leonhard Euler
Tipo documento Libro
Tutti gli autori / Collaboratori: S V Khrushchev
{0} 9780521854191 0521854199
Numero OCLC: 213400529
Descrizione: xvi, 478 pages : illustrations ; 25 cm.
Contenuti: Continued fractions: real numbers --
Continued fractions: algebra --
Continued fractions: analysis --
Continued fractions: Euler --
Continued fractions: Euler's influence --
P-fractions --
Orthogonal polynomials --
Orthogonal polynomials on the unit circle --
Appendix. Continued fractions, observations L. Euler (1739).
Titolo della serie: Encyclopedia of mathematics and its applications, 122.
Responsabilità: Sergey Khrushchev.

Abstract:

Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.  Per saperne di più…

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