Mohlo by se vám také líbit

Více informací o knize Orthogonal Polynomials and Continued Fractions

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 459 bodů

Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Orthogonal Polynomials and Continued Fractions
• Podnázev: From Euler's Point of View
• Autor: Sergey Khrushchev
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 496
• EAN: 9780521854191
• ISBN: 0521854199
• ID: 02047230
• Nakladatelství: Cambridge University Press
• Hmotnost: 860 g
• Rozměry: 241 × 163 × 31 mm
• Datum vydání: 24. July 2008

Oblíbené z jiného soudku

---

---

---