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

Autor S V Khrushchev
Vydavatel: Cambridge : Cambridge University Press, 2008.
Edice: Encyclopedia of mathematics and its applications, 122.
Vydání/formát:   Kniha : EnglishZobrazit všechny vydání a formáty
Databáze:WorldCat
Shrnutí:
"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  Přečíst více...
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Detaily

Osoba: Leonhard Euler
Typ dokumentu: Book
Všichni autoři/tvůrci: S V Khrushchev
ISBN: 9780521854191 0521854199
OCLC číslo: 213400529
Popis: xvi, 478 pages : illustrations ; 25 cm.
Obsahy: 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).
Název edice: Encyclopedia of mathematics and its applications, 122.
Odpovědnost: Sergey Khrushchev.

Anotace:

Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.  Přečíst více...

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