» » Orthogonal Polynomials and Continued Fractions From Euler's Point of View
uploaded.to



Information of news
  • Author: Alexandr
  • Date: 16-12-2015, 02:53
16-12-2015, 02:53

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

Category: E-Books

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

Sergey Khrushchev, "Orthogonal Polynomials and Continued Fractions: From Euler's Point of View"
2008 | pages: 495 | ISBN: 0521854199 | PDF | 2,3 mb






This new and exciting historical book tells how Euler introduced the idea of orthogonal polynomials and how he combined them with continued fractions, as well as 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.

DOWNLOAD
(Buy premium account for maximum speed and resumming ability)


uploaded


Rapidgator.net

Site BBcode/HTML Code:
Dear visitor, you went to the site as unregistered user.
We recommend you Sign up or Login to website under your name.
Information
Would you like to leave your comment? Please Login to your account to leave comments. Don't have an account? You can create a free account now.

Tag Cloud

archive of news

^
 
free html hit counter