Orthogonal Polynomials and Continued Fractions

Language: English

Published by Cambridge University Press, GB, 2008

0521854199 / 9780521854191

Series: Book 110 of 188 - Encyclopedia of Mathematics and its Applications

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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.…

Seller Inventory # LU-9780521854191

Title
Orthogonal Polynomials and Continued Fractions
Author
Sergey Khrushchev
Publisher
Cambridge University Press, GB
Publication year
2008
Condition
New
Binding
Hardback
Language
English
ISBN 10
0521854199
ISBN 13
9780521854191
Item weight
860 grams
Series
Book 110 of 188: Encyclopedia of Mathematics and its Applications

Rarewaves.com USA

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