Orthogonal Polynomials and Continued Fractions 2025 pdf epub mobi 电子书

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发表于2025-03-12

Orthogonal Polynomials and Continued Fractions 2025 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:Sergey Khrushchev

出品人:

页数:496

译者:

出版时间:2008-7-24

价格:GBP 80.00

装帧:Hardcover

isbn号码:9780521854191

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Orthogonal Polynomials and Continued Fractions 2025 pdf epub mobi 电子书图书描述

Continued fractions, studied since Ancient Greece, only became a powerful tool in the eighteenth century, in the hands of the great mathematician Euler. This book tells how Euler introduced the idea of orthogonal polynomials and combined the two subjects, and 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 Theorem on integration in finite terms, Chebyshev's Theory of Orthogonal Polynomials, and very recent advances in Orthogonal Polynomials on the unit circle. As continued fractions become more important again, in part due to their use in finding algorithms in approximation theory, this timely book revives the approach of Wallis, Brouncker and Euler and illustrates the continuing significance of their influence. A translation of Euler's famous paper 'Continued Fractions, Observation' is included as an Addendum.

Orthogonal Polynomials and Continued Fractions 2025 pdf epub mobi 电子书

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