Description: Further DetailsTitle: Orthogonal Polynomials and Continued FractionsCondition: NewSubtitle: From Euler's Point of ViewEAN: 9780521854191ISBN: 9780521854191Publisher: Cambridge University PressFormat: HardbackRelease Date: 07/24/2008Description: 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.Language: EnglishCountry/Region of Manufacture: GBItem Height: 241mmItem Length: 163mmItem Width: 31mmItem Weight: 860gAuthor: Sergey KhrushchevGenre: Science Nature & MathBook Series: Encyclopedia of Mathematics and its ApplicationsRelease Year: 2008 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Orthogonal Polynomials and Continued Fractions
Title: Orthogonal Polynomials and Continued Fractions
Subtitle: From Euler's Point of View
EAN: 9780521854191
ISBN: 9780521854191
Release Date: 07/24/2008
Release Year: 2008
Country/Region of Manufacture: GB
Genre: Science Nature & Math
Number of Pages: 496 Pages
Language: English
Publication Name: Orthogonal Polynomials and Continued Fractions : from Euler's Point of View
Publisher: Cambridge University Press
Item Height: 1.2 in
Subject: Mathematical Analysis, Science & Technology
Publication Year: 2008
Type: Textbook
Item Weight: 30.5 Oz
Author: Sergey Khrushchev
Subject Area: Mathematics, Biography & Autobiography
Item Length: 9.5 in
Item Width: 6.4 in
Series: Encyclopedia of Mathematics and Its Applications Ser.
Format: Hardcover
