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

著者: S V Khrushchev
出版商: Cambridge : Cambridge University Press, 2008.
丛书: Encyclopedia of mathematics and its applications, 122.
版本/格式:   图书 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
"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  再读一些...
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提及的人: Leonhard Euler; Leonhard Euler
文件类型:
所有的著者/提供者: S V Khrushchev
ISBN: 9780521854191 0521854199
OCLC号码: 213400529
描述: xvi, 478 pages : illustrations ; 25 cm.
内容: 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).
丛书名: Encyclopedia of mathematics and its applications, 122.
责任: Sergey Khrushchev.

摘要:

Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.  再读一些...

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'The range of themes covered is very wide ...' EMS Newsletter 'The author has done an admirable job of putting together historical anecdotes and excerpts from original sources with some deep and 再读一些...

 
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