Isbn: 9780521854191 - orthogonal polynomials and continued fractions: from euler's point of view (encyclopedia of mathematics & its applications, 122, band 122) (5 Ergebnisse)

XVI, 478 Seiten, Schönes Exemplar Sprache: Englisch 8°, roter OU mit Rückentitel, rotes O Ln.

Zustand: New. In.

Zustand: New. Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 496 pages, 12 b/w illus. 180 exercises. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 27. Weight in Grams: 870. . 2008. hardcover. . . . . Books ship from the US and Ireland. …

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…

Zustand: gut. 2008. Orthogonal Polynomials and Continued Fractions : From Eulers Point of View (IN ENGLISCHER SPRACHE) In englischer Sprache. pages.