Orthogonal Polynomials and Continued Fractions: From Euler's Point of View: 0 (Encyclopedia of Mathematics and its Applications, Series Number 122) - Image 1

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Cambridge University Press Orthogonal Polynomials and Continued Fractions: From Euler's Point of View: 0 (Encyclopedia of Mathematics and its Applications, Series Number 122)

Name: Orthogonal Polynomials and Continued Fractions: From Euler's Point of View: 0 (Encyclopedia of Mathematics and its Applications, Series Number 122)
Brand: Cambridge University Press
Price: 103.01 GBP
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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.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521854199
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 24 July 2008
Listed Since: 19 October 2006

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Cambridge University Press Orthogonal Polynomials and Continued Fractions: From Euler's Point of View: 0 (Encyclopedia of Mathematics and its Applications, Series Number 122)

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