Orthogonal Polynomials and Continued Fractions From Euler's Point of View

Name: Orthogonal Polynomials and Continued Fractions From Euler's Point of View
Price: 119.96 USD
Availability: InStock
ISBN: 9780521854191

ISBN-10: 0521854199

ISBN-13: 9780521854191

Edition: 2008

Authors: Sergey Khrushchev

List price: $168.00

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy new: $119.96

Marketplace

2 new & used from $160.86

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

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…

Book details

List price: $168.00
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 7/24/2008
Binding: Hardcover
Pages: 496
Size: 6.42" wide x 9.49" long x 1.22" tall
Weight: 1.892
Language: English

Sergey Khrushchev is a Professor in the Department of Mathematics at Atilim University, Turkey.



Preface



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 unite circle



Continued fractions, Observations


Bibliography


Index