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

著者: S V Khrushchev
出版: Cambridge : Cambridge University Press, 2008.
シリーズ: Encyclopedia of mathematics and its applications, 122.
エディション/フォーマット:   book_printbook : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
"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  続きを読む
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関連の人物: Leonhard Euler; Leonhard Euler; Leonhard Euler
ドキュメントの種類: 図書
すべての著者/寄与者: S V Khrushchev
ISBN: 9780521854191 0521854199
OCLC No.: 213400529
物理形態: xvi, 478 pages : illustrations ; 25 cm.
コンテンツ: 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).
シリーズタイトル: Encyclopedia of mathematics and its applications, 122.
責任者: Sergey Khrushchev.

概要:

Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.  続きを読む

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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 続きを読む

 
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